Relevant bibliographies by topics / Mesh independence

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Mesh independence'

Author: Grafiati
Published: 4 June 2021
Last updated: 8 February 2022

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Journal articles on the topic "Mesh independence"

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Axelsson, Owe. "On mesh independence and Newton-type methods." Applications of Mathematics 38, no. 4 (1993): 249–65. http://dx.doi.org/10.21136/am.1993.104554.

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Allgower, E. L., and K. Böhmer. "Application of the Mesh Independence Principle to Mesh Refinement Strategies." SIAM Journal on Numerical Analysis 24, no. 6 (December 1987): 1335–51. http://dx.doi.org/10.1137/0724086.

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Xu, Xinhai, Hao Li, and Yufei Lin. "Mesh–Order Independence in CFD Simulation." IEEE Access 7 (2019): 119069–81. http://dx.doi.org/10.1109/access.2019.2937450.

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Weiser, Martin, Anton Schiela, and Peter Deuflhard. "Asymptotic Mesh Independence of Newton's Method Revisited." SIAM Journal on Numerical Analysis 42, no. 5 (January 2005): 1830–45. http://dx.doi.org/10.1137/s0036142903434047.

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Adam, Dumitru. "Mesh independence of galerkin approach by preconditioning." International Journal of Computer Mathematics 28, no. 1-4 (January 1989): 227–36. http://dx.doi.org/10.1080/00207168908803742.

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Kelley, C. T., J. Bernholc, E. L. Briggs, Steven Hamilton, Lin Lin, and Chao Yang. "Mesh independence of the generalized Davidson algorithm." Journal of Computational Physics 409 (May 2020): 109322. http://dx.doi.org/10.1016/j.jcp.2020.109322.

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Balagangadhar, Ramesh, and Joseph C. Slater. "On the Convergence of Nonlinear Modes of a Finite Element Model." Shock and Vibration 15, no. 6 (2008): 655–64. http://dx.doi.org/10.1155/2008/645014.

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Convergence of finite element models is generally realized via observation of mesh independence. In linear systems invariance of linear modes to further mesh refinement is often used to assess mesh independence. These linear models are, however, often coupled with nonlinear elements such as CFD models, nonlinear control systems, or joint dynamics. The introduction of a single nonlinear element can significantly alter the degree of mesh refinement necessary for sufficient model accuracy. Application of nonlinear modal analysis [1,2] illustrates that using linear modal convergence as a measure of mesh quality in the presence of nonlinearities is inadequate. The convergence of the nonlinear normal modes of a simply supported beam modeled using finite elements is examined. A comparison is made to the solution of Boivin, Pierre, and Shaw [3]. Both methods suffer from the need for convergence in power series approximations. However, the finite element modeling method introduces the additional concern of mesh independence, even when the meshing the linear part of the model unless p-type elements are used [4]. The importance of moving to a finite element approach for nonlinear modal analysis is the ability to solve problems of a more complex geometry for which no closed form solution exists. This case study demonstrates that a finite element model solution converges nearly as well as a continuous solution, and presents rough guidelines for the number of expansion terms and elements needed for various levels of solution accuracy. It also demonstrates that modal convergence occurs significantly more slowly in the nonlinear model than in the corresponding linear model. This illustrates that convergence of linear modes may be an inadequate measure of mesh independence when even a small part of a model is nonlinear.
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Oliveira, R. A. F., G. H. Justi, and G. C. Lopes. "Grid convergence study of a cyclone separator using different mesh structures." Chemical Industry and Chemical Engineering Quarterly 23, no. 3 (2017): 311–20. http://dx.doi.org/10.2298/ciceq160516044o.

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In a cyclone design, pressure drop and collection efficiency are two important performance parameters to estimate its implementation viability. The optimum design provides higher efficiencies and lower pressure drops. In this paper, a grid independence study was performed to determine the most appropriate mesh to simulate the two-phase flow in a Stairmand cyclone. Computational fluid dynamic (CFD) tools were used to simulate the flow in an Eulerian-Lagrangian approach. Two different mesh structure, one with wall-refinement and the other with regular elements, and several mesh sizes were tested. The grid convergence index (GCI) method was applied to evaluate the result independence. The CFD model results were compared with empirical correlations from bibliography, showing good agreement. The wall-refined mesh with 287 thousand elements obtained errors of 9.8% for collection efficiency and 14.2% for pressure drop, while the same mesh, with regular elements, obtained errors of 8.7% for collection efficiency and 0.01% for pressure drop.
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Chirica, I., C. M. Angheluta, S. D. Perijoc, A. I. Hobjilă, and M. Frătita. "Mesh independence of a transient multiphase fluid-solid interaction." Journal of Physics: Conference Series 1297 (September 2019): 012026. http://dx.doi.org/10.1088/1742-6596/1297/1/012026.

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Ferng, W. R., and C. T. Kelley. "Mesh Independence of Matrix-Free Methods for Path Following." SIAM Journal on Scientific Computing 21, no. 5 (January 2000): 1835–50. http://dx.doi.org/10.1137/s1064827598339360.

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Dissertations / Theses on the topic "Mesh independence"

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Fajardo, Peña Pablo. "Methodology for the Numerical Characterization of a Radial Turbine under Steady and Pulsating Flow." Doctoral thesis, Universitat Politècnica de València, 2012. http://hdl.handle.net/10251/16878.

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The increasing use of turbochargers is leading to an outstanding research to understand the internal flow in turbomachines. In this frame, computational fluid dynamics (CFD) is one of the tools that can be applied to contribute to the analysis of the fluid-dynamic processes occurring in a turbine. The objective of this thesis is the development of a methodology for performing simulations of radial turbomachinery optimizing the available computational resources. This methodology is used for the characterization of a vaned-nozzle turbine under steady and pulsating flow conditions. An important effort has been devoted in adjusting the case configuration to maximize the accuracy achievable with a certain computational cost. Concerning the cell size, a local mesh independence analysis is proposed as a procedure to optimize the distribution of cells in the domain, thus allowing to use a finer mesh in the most suitable places. Particularly important in turbomachinery simulations is the influence of the approach for simulating rotor motion. In this thesis two models have been compared: multiple reference frame and sliding mesh. The differences obtained using both methods were found to be significant in off-design regions. Steady flow CFD results have been validated against global measurements taken on a gas-stand. The modeling of a turbine, installed either on a turbocharger test rig or an engine, requires the calculation of the flow in the ducts composing the system. Those ducts could be simulated assuming a one-dimensional (1D) approximation, and thus reducing the computational cost. In this frame of ideas, two CFD boundary conditions have been developed. The first one allows performing coupled 1D-3D simulations, communicating the flow variables from each domain through the boundary. The second boundary condition is based in a new formulation for a stand-alone anechoic end, which intends to represent the flow behavior of an infinite duct. Finally, the turbine was simulat
Fajardo Peña, P. (2012). Methodology for the Numerical Characterization of a Radial Turbine under Steady and Pulsating Flow [Tesis doctoral no publicada]. Universitat Politècnica de València. https://doi.org/10.4995/Thesis/10251/16878
Palancia
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Páleš, Patrik. "Rotace kola ve výpočtech externí aerodynamiky." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2015. http://www.nusl.cz/ntk/nusl-231736.

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The aim of the master’s thesis is an investigation of volume mesh quality, turbulent models and models of rotation and their influence on aerodynamic coefficients of rotating wheels. Mesh independence study and near-wall prism layer modelling are also of high importance. Subsequently, the appropriate turbulent model is used for research of wheel rotation on drag and lift on a front and rear axle of the vehicle compared to the stationary case.
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Csati, Zoltan. "Mesh-independent modelling of diffuse cracking in cohesive grain-based materials." Thesis, Ecole centrale de Nantes, 2019. http://www.theses.fr/2019ECDN0037.

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Dans cette thèse, une formulation stable mixte de déplacement–multiplicateur de Lagrange est développée pour modéliser la fissuration dans les matériaux cohésifs à grains dans le cadre de la méthode des éléments finis etendus (CutFEM). Le champ de déplacement est discrétisé sur chaque grain individuellement, et la continuité des champs de déplacement et de traction aux interfaces entre grains est assurée par des multiplicateurs de Lagrange. La construction de l'espace discret des multiplicateurs de Lagrange est détaillée pour les éléments quadrangulaires bilinéaires avec la présence d’interfaces multiples dans un élément. Des preuves numériques sont données que cet espace de multiplicateurs de Lagrange est stable, et des exemples démontrant la robustesse de la méthode sont fournis. Avec cette discrétisation stable, une formulation de zone cohésive permet de modéliser la propagation de fissures multiples aux interfaces entre grains. Pour éviter des interpénétrations aux faces des fissures pendant le déchargement, une condition de contact est imposée. Les solutions pour les champs mécaniques et le champ d’endommagement sont obtenues séparément et un algorithme explicite permet d'utiliser une approche non itérative. La formulation de l’endommagement associe les modes de rupture normal et tangentiel, tient compte de différents comportements de tension et de compression et prend en compte une énergie de rupture dépendante de la compression en mode mixte. La méthode est appliquée à des problèmes 2D complexes inspirés par des tests de tension indirecte et des tests de compression sur des matériaux hétérogènes ressemblant à de la roche
In this thesis a flexible and general stable displacement–Lagrange multiplier mixed formulation is developed to model distributed cracking in cohesive grain-based materials in the framework of the cut finite element method. The displacement field is discretized on each grain separately, and the continuity of the displacement and traction fields across the interfaces between grains is enforced by Lagrange multipliers. The design of the discrete Lagrange multiplier space is detailed for bilinear quadrangular elements with the potential presence of multiple interfaces/discontinuities within an element. We give numerical evidence that the designed Lagrange multiplier space is stable and provide examples demonstrating the robustness of the method. Relying on the stable discretization, a cohesive zone formulation equipped with a damage constitutive model expressed in terms of the traction is used to model the propagation of multiple cracks at the interfaces between grains. To prevent the crack faces from self-penetrating during unloading, a contact condition is enforced. The solutions for the mechanical fields and the damage field are separately obtained and an explicit damage update algorithm allows using a non-iterative approach. The damage formulation couples the normal and tangential failure modes, accounts for different tension and compression behaviours and takes into account a compression-dependent fracture energy in mixed mode. The framework is applied to complex 2D problems inspired by indirect tension tests and compression tests on heterogeneous rock-like materials
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Kim, Taejong. "Mesh independent convergence of modified inexact Newton methods for second order nonlinear problems." Texas A&M University, 2003. http://hdl.handle.net/1969.1/3870.

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In this dissertation, we consider modified inexact Newton methods applied to second order nonlinear problems. In the implementation of Newton's method applied to problems with a large number of degrees of freedom, it is often necessary to solve the linear Jacobian system iteratively. Although a general theory for the convergence of modified inexact Newton's methods has been developed, its application to nonlinear problems from nonlinear PDE's is far from complete. The case where the nonlinear operator is a zeroth order perturbation of a fixed linear operator was considered in the paper written by Brown et al.. The goal of this dissertation is to show that one can develop modified inexact Newton's methods which converge at a rate independent of the number of unknowns for problems with higher order nonlinearities. To do this, we are required to first, set up the problem on a scale of Hilbert spaces, and second, to devise a special iterative technique which converges in a higher order Sobolev norm, i.e., H1+alpha(omega) \ H1 0(omega) with 0 < alpha < 1/2. We show that the linear system solved in Newton's method can be replaced with one iterative step provided that the initial iterate is close enough. The closeness criteria can be taken independent of the mesh size. In addition, we have the same convergence rates of the method in the norm of H1 0(omega) using the discrete Sobolev inequalities.
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Ceimertz, Tove, and Maria Janford. "Inte mest, utan bäst! : hur revisorer resonerar kring relationen till klienter." Thesis, Högskolan Kristianstad, Sektionen för hälsa och samhälle, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:hkr:diva-12801.

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En revisor bidrar till att kvalitetssäkra den finansiella information företag lämnar ifrån sig och revision ses som en kvalitetsstämpel gentemot tredje part. När det inte längre är revisionsplikt för små bolag har konkurrensen hårdnat i revisionsbranschen. Revisionsbyråerna har därför tilltagit åtgärder så som marknadsföring för att behålla och attrahera nya klienter. Syftet med denna studie är att skapa förståelse för hur revisorer resonerar kring relationen till klienter och hur de upplever att den påverkas av de åtgärder som krävs för att behålla och attrahera klienter. Studien har fördjupats i tre begrepp som i sin tur är kopplade till teorier. Det studeras hur revisoryrket som profession, marknadsföring och oberoende påverkar klientrelationen och dessa stöds av agentteorin, professionsteorin och institutionell teori. Studien har genomförts med en kvalitativ metod där personliga intervjuer använts för att samla empiri från sex erfarna revisorer. Revisorerna lägger stor vikt vid att relationerna till klienterna är goda. Det är viktigt dels för att klienterna ska vara nöjda och stanna kvar, men även för att det är genom ryktesspridning revisorerna får flest nya klienter. Revisoryrket är en profession och revisorerna är medvetna om hur de uppträder såväl inom arbetet som utanför. Marknadsföring strider mot professionen men är något revisorer börjat använda sig av i större utsträckning. Revisionsbyråerna använder sig av varumärkesmarknadsföring medan revisorerna främst riktar in sig på personlig marknadsföring. Enligt lag måste revisorer vara oberoende gentemot sina klienter och detta är de noga med. Inget får hota deras oberoende eftersom det kan förstöra deras rykte som revisor. Slutsatsen är att revisorer värderar klientrelationen högt. De är medvetna om vad som kan påverka och hota deras roll som revisor i relationen och vet hur de ska agera för att undvika dessa. Förslag till vidare forskning är att studera detta ut klientens perspektiv, vilket sedan kan jämföras med denna studies resultat.
An auditor contributes to assure the quality of the financial information the company hands over and auditing is seen as a quality stamp for third part. There is fierce competition in the audit industry as is no longer mandatory auditing for small companies. Audit firms use marketing and other activities to retain and attract new clients. The purpose of this study is to create an understanding for how auditors reason regarding the relationship with clients and how they perceive that activities to retain and attract clients affect the relationship. The study covers three concepts that are linked to theories. It studies how auditing as a profession, marketing and independence affect the client relationship and the Agency Theory, Professional Theory and Institutional Theory support these. The study is preformed through a qualitative approach where individual interviews are used to collect data from six different auditors. The auditors attach great importance to that the relationships with the clients are good. It is important that the clients are satisfied and stay, but also because it is through word-of-mouth auditors gain most new clients. Auditors belong to a profession and, therefore, the auditors are aware of how they behave in work and outside. Marketing is contrary to the profession but is something they have started to use more. Audit firms use brand marketing while auditors focus mainly on personal marketing. Because of laws, auditors must be independent against their clients and with this they are carful. Nothing may threaten their independence because it can destroy their reputation. The conclusion is that auditors value the client relationship highly. They are aware of what can affect and threaten their role as an auditor in the relationship. They are also aware of how to act in order to avoid these. A suggestion for further research is to study auditor-client relationship from the clients’ perspective, which can then be compared with the result of this study.
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Lehmann, Marcus Verfasser], Stefanie [Akademischer Betreuer] [Reese, and Meinhard [Akademischer Betreuer] Kuna. "Implementation of a mesh-size-independent viscoplasticity damage model through a nonlocal continuum mechanical approach / Marcus Lehmann ; Stefanie Reese, Meinhard Kuna." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1241891516/34.

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Guo, Ruchi. "A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes." Thesis, Virginia Tech, 2017. http://hdl.handle.net/10919/79946.

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In this thesis, we develop the a new immersed finite element(IFE) space formed by piecewise linear polynomials defined on sub-elements cut by the actual interface curve for solving elliptic interface problems on interface independent meshes. A group of geometric identities and estimates on interface elements are derived. Based on these geometric identities and estimates, we establish a multi-point Taylor expansion of the true solutions and show the estimates for the second order terms in the expansion. Then, we construct the local IFE spaces by imposing the weak jump conditions and nodal value conditions on the piecewise polynomials. The unisolvence of the IFE shape functions is proven by the invertibility of the well-known Sherman-Morrison system. Furthermore we derive a group of fundamental identities about the IFE shape functions, which show that the two polynomial components in an IFE shape function are highly related. Finally we employ these fundamental identities and the multi-point Taylor expansion to derive the estimates for IFE interpolation errors in L2 and semi-H1 norms.
Master of Science
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Preller, Abraham Christoffel Naudé. "Numerical modelling of flow through packed beds of uniform spheres / Abraham Christoffel Naudé Preller." Thesis, North-West University, 2011. http://hdl.handle.net/10394/8499.

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This study addressed the numerical modelling of flow and diffusion in packed beds of mono-sized spheres. Comprehensive research was conducted in order to implement various numerical approaches in explicit1 and implicit2 simulations of flow through packed beds of uniform spheres. It was noted from literature that the characterization of a packed bed using porosity as the only geometrical parameter is inadequate (Van Antwerpen, 2009) and is still under much deliberation due to the lack of understanding of different flow phenomena through packed beds. Explicit simulations are not only able to give insight into this lack of understanding in fluid mechanics, but can also be used to develop different flow correlations that can be implemented in implicit type simulations. The investigation into the modelling approach using STAR-CCM+®, presented a sound modelling methodology, capable of producing accurate numerical results. A new contact treatment was developed in this study that is able to model all the aspects of the contact geometry without compromising the computational resources. This study also showed, for the first time, that the LES (large eddy simulation) turbulence model was the only model capable of accurately predicting the pressure drop for low Reynolds numbers in the transition regime. The adopted modelling approach was partly validated in an extensive mesh independency test that showed an excellent agreement between the simulation and the KTA (1981) and Eisfeld and Schnitzlein (2001) correlations' predicted pressure drop values, deviating by between 0.54% and 3.45% respectively. This study also showed that explicit simulations are able to accurately model enhanced diffusion due to turbulent mixing, through packed beds. In the tortuosity study it was found that the tortuosity calculations were independent of the Reynolds number, and that the newly developed tortuosity tests were in good agreement with techniques used by Kim en Chen (2006), deviating by between 2.65% and 0.64%. The results from the TMD (thermal mixing degree) tests showed that there appears to be no explicit link between the porosity and mixing abilities of the packed beds tested, but this could be attributed to relatively small bed sizes used and the positioning and size of the warm inlet. A multi-velocity test showed that the TMD criterion is also independent of the Reynolds number. It was concluded that the results from the TMD tests indicated that more elaborate packed beds were needed to derive applicable conclusions from these type of mixing tests. The explicit BETS (braiding effect test section) simulation results confirmed the seemingly irregular temperature trends that were observed in the experimental data, deviating by between 5.44% and 2.29%. From the detail computational fluid dynamics (CFD) results it was possible to attribute these irregularities to the positioning of the thermocouples in high temperature gradient areas. The validation results obtained in the effective thermal conductivity study were in good agreement with the results of Kgame (2011) when the same fitting techniques were used, deviating by 5.1%. The results also showed that this fitting technique is highly sensitive for values of the square of the Pearson product moment correlation coefficient (RSQ) parameter and that the exclusion of the symmetry planes improved the RSQ results. It was concluded that the introduction of the new combined coefficient (CC) parameter is more suited for this type of fitting technique than using only the RSQ parameter.
Thesis (M.Ing. (Mechanical Engineering))--North-West University, Potchefstroom Campus, 2012
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Shaban, Hassan. "Experimental Investigations of Internal Air-water Flows." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32952.

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The objective of the present thesis research is to apply state-of-the-art experimental and data analysis techniques to the study of gas-liquid pipe flows, with a focus on conditions occurring in header-feeder systems of nuclear reactors under different accident scenarios. Novel experimental techniques have been proposed for the identification of the flow regime and measurement of the flow rates of both phases in gas-liquid flows. These techniques were automated, non-intrusive and economical, which ensured that their use would be feasible in industrial as well as laboratory settings. Measurements of differential pressure and the gas and liquid flow rates were collected in vertical upwards air-water flow at near-atmospheric pressure. It was demonstrated that the probability density function of the normalized differential pressure was indicative of the flow regime and using non-linear dimensionality reduction (the Elastic Maps Algorithm), it was possible to automate the process of identifying the flow regime from the differential pressure signal. The relationship between the probability density function and the power spectral density of normalized differential pressure with the gas and liquid flow rates in air-water pipe flow was also established and a machine learning algorithm (using Independent Component Analysis and Artificial Neural Networks) was proposed for the estimation of the phase flow rates from these properties. The proposed methods were adapted for use with single and dual conductivity wire-mesh sensors in vertical upwards and downwards air--water flows. A thorough evaluation of the performance and measurement uncertainty of wire-mesh sensors in gas-liquid flows was also performed. Lastly, measurements of the flow distribution in feeder tubes supplied with air-water mixtures by a simplified header model were collected and correlated to the observed flow patterns in the header.
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Uribe, Suarez Diego Alejandro. "Combinaison d’éléments cohésifs et remaillage pour gérer la propagation arbitraire du chemin de fissure : des matériaux fragiles à l’analyse de fatigue thermique des petits corps du système solaire." Thesis, Université Côte d'Azur, 2021. http://www.theses.fr/2021COAZ4047.

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La présente thèse de doctorat a pour objectif d’améliorer la modélisation du phénomène de rupture dans les matériaux fragiles. Elle porte une attention particulière aux mécanismes de rupture des objets célestes. L’un des problèmes posant le plus de défis aux scientifiques spécialisés dans l’étude de la mécanique de la rupture est la propagation d’une fissure dans un maillage éléments finis, et ce pour des chemins arbitraires. Dans cette étude, ce problème est abordé en utilisant une technique de remaillage avancée utilisant des éléments finis cohésifs permettant la propagation de fissures suivant des directions arbitraires et indépendantes du maillage. La direction de la fissure est calculée suivant le critère du taux de restitution d’énergie maximal, implémentée à l’aide d’un modèle éléments finis et de la méthode Gθ. Les effets de différents paramètres numériques et physiques relatifs à la fissure ou à l’énergie libérée lors de la rupture sont investigués.Bien que différentes preuves de fissures et/ou fragments à la surface de corps célestes de notre système solaire induits par des variations cycliques de la température ont été détaillées, la compréhension de ces mécanismes de propagation dans des objets célestes reste très parcellaire. La fracturation thermique de roches en surface associée à l’impact de micro-météorites peutéventuellement conduire à la rupture complète de fragments de matière et à la production de régolithes. Cette dernière est définie comme la couche de matériau non consolidée qui recouvre la surface des planètes. Afin de comprendre ces mécanismes, l’étude s’attarde sur un exemple précis, celui de l’astéroïde (101955) Bennu. Pour ce faire, elle utilise un modèle thermoélastique couplé avec un modèle linéaire élastique de mécanique de la rupture permettant de considérer les variations cycliques de température liées aux alternances jour/nuit. En utilisant cette méthodologie, il a été observé que les fissures se propagent préférentiellement dans les directions : Nord vers Sud, Nord-Est vers Sud-Ouest et Nord-Ouest vers Sud-Est. Finalement, une analyse de fatigue est effectuée afin d’estimer la vitesse de croissance de la fissure.Les méthodes détaillées précédemment ont été implémentées dans Cimlib, une librairie C++ dévelopée au CEMEF. Au sein de cette librairie, une méthode permettant la propagation d’une ou plusieurs fissures, suivant des directions arbitraires, en 2D et au sein d’un environnement de calcul en parallèle est à présent disponible. Concernant l’extension de cette méthode à des problèmes 3D, une première approche a été mise au point. Elle permet de propager un front de fissure suivant une direction arbitaire. La structure développée permet d’ouvrir de nouvelles possibilités pour de nombreuses applications, telles que l’étude de la rupture de matériaux composites à l’échelle mesoscopique
The present PhD thesis aims at providing a better modeling of fracture phenomenon in brittle materials, with special attention focused on fracture processes taking place in astronomical bodies. One of the most challenging issues in computational fracture mechanics is the propagation of a crack through a finite element mesh for arbitrary crack paths. In this work, this problem is approached by means of an advanced remeshing technique that propagates a crack using cohesive elements through arbitrary directions (mesh-independent). The crack direction is computed using the maximal energy release rate criterion which is implemented using finite elements and the Gθ method. The effects of different numerical and physical parameters regarding the crack path and fracture energy have been investigated. Even though it has been shown that temperature cycles on airless bodies of our Solar System can cause damaging of surface materials (Thermal cracking), propagation mechanisms in the case of space objects are still poorly understood. Thermal cracking of surface rocks, in addition to the impact of micrometeorties, can eventually lead to rocks’ breakup and produce fresh regolith, the latter being the layer of unconsolidated material that covers planetary surfaces. For this reason, the present work combines a thermoelasticity model together with linear elastic fracture mechanics theory to predict fracture propagation in the presence of thermal gradients generated by diurnal temperature cycling and under conditions similar to those existing on asteroid (101955) Bennu. Using the implemented methodologies, it is found that in asteroid Bennu, cracks preferentially propagate in the North to South (N-S), in the North-East to South-West (NE-SW) and in the North-West to South-East (NW-SE) directions. Finally, thermal fatigue analysis was performed in order to estimate the crack growth rate.Aforementioned methodologies have been implemented in Cimlib, a C++ in-house finite element library developed at CEMEF. Inside Cimlib, a methodology allowing two-dimensional crack propagation through arbitrary directions with the option of handling multiple cracks in the domain and inside a parallel environment was developed. Regarding three-dimensional scenario, a first approach where a crack front was propagated through an arbitrary direction was achieved. Concerning numerical modeling of crack propagation, the developed framework opens new possibilities for various applications such as composites cracking at the meso-scale
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Books on the topic "Mesh independence"

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Rezistenca kosovare mes dy zjarresh: Kujtime. Prishtinë: S. Maxhuni-Novosella, 2012.

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Vlastʹ: Mech i kovarstvo : Kremlʹ i rossiĭsko-chechenskai͡a︡ voĭna. Moskva: Graalʹ, 2002.

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Bell, Judith. Doing your research project: A guide for first-time researchers in education, health and social science. 4th ed. Maidenhead, Berkshire, England: Open University Press, 2006.

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Bell, Judith. Doing your research project: A guide for first-time researchers in education, health and social science. 4th ed. Maidenhead, Berkshire, England: Open University Press, 2006.

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Bell, Judith. Doing your research project: A guide for first-time researchers in education, health and social science. 4th ed. Maidenhead, Berkshire, England: Open University Press, 2006.

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Bell, Judith. Doing your research project: A guide for first-time researchers in education and social science. Milton Keynes, England: Open University Press, 1986.

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Doing your research project: A guide for first-time researchers in education, health and social science. 4th ed. Maidenhead, England: Open University Press, 2005.

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Doing your research project: A guide for first-time researchers in education and social science. 3rd ed. Buckingham [England]: Open University Press, 1999.

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Doing your research project: A guide for first-time researchers in education and social science. Milton Keynes, England: Open University Press, 1987.

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Bell, Judith. Doing your research project: A guide for first-time researchers in education, health and social science. 4th ed. Maidenhead, Berkshire, England: Open University Press, 2006.

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Book chapters on the topic "Mesh independence"

1

Anastassiou, George A., and Ioannis K. Argyros. "The Asymptotic Mesh Independence Principle." In Intelligent Numerical Methods: Applications to Fractional Calculus, 283–96. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-26721-0_17.

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Levin, David. "Mesh-Independent Surface Interpolation." In Geometric Modeling for Scientific Visualization, 37–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-07443-5_3.

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Habashi, W. G., M. Fortin, J. Dompierre, M. G. Vallet, and Y. Bourgault. "Anisotropic Mesh Adaptation: A Step Towards a Mesh-Independent and User-Independent CFD." In ICASE/LaRC Interdisciplinary Series in Science and Engineering, 99–117. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5169-6_6.

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Chen, Hung-Kuang, Chin-Shyurng Fahn, and Ming-Bo Lin. "The Storage Independent Polygonal Mesh Simplification System." In Virtual Reality, 3–12. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-73335-5_1.

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Axelsson, Owe, and János Karátson. "Mesh Independent Convergence Rates Via Differential Operator Pairs." In Large-Scale Scientific Computing, 3–15. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-78827-0_1.

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Kim, Tae Soon, Jai Hak Park, June Soo Park, Jong Sung Kim, and Tae Eun Jin. "Analysis of Three-Dimensional Cracks with Independent Crack Mesh." In Solid State Phenomena, 55–62. Stafa: Trans Tech Publications Ltd., 2006. http://dx.doi.org/10.4028/3-908451-15-9.55.

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Magnient, J. C., P. Sagaut, and M. Deville. "Analysis of Mesh-Independent Subfilter-Scale Models for Turbulent Flows." In Direct and Large-Eddy Simulation III, 263–74. Dordrecht: Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-015-9285-7_22.

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Qie, Yifan, Lihong Qiao, and Nabil Anwer. "A Framework for Curvature-Based CAD Mesh Partitioning." In Lecture Notes in Mechanical Engineering, 228–34. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70566-4_37.

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AbstractIn ISO Geometrical Product Specifications and Verification Standards (GPS) [1], partition is one of the fundamental operations used to obtain ideal or non-ideal features of a product. The operation of partition produces independent geometrical features by decomposing the object. A curvature-based CAD mesh partitioning framework is proposed in this paper. The framework combines several key steps including curvature-based attribute calculation, local shape type refinement, region growing, slippage analysis and statistical modeling. The partitioned features are classified into seven invariance classes of surface in the context of ISO GPS. A case study shows that not only appropriate partitioning but also accurate invariance class recognition for GPS are achieved by the proposed framework.
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Desrues, J., A. Argilaga, S. Dal Pont, G. Combe, D. Caillerie, and T. kein Nguyen. "Restoring Mesh Independency in FEM-DEM Multi-scale Modelling of Strain Localization Using Second Gradient Regularization." In Springer Series in Geomechanics and Geoengineering, 453–57. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56397-8_57.

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"6. Mesh Independence." In Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces, 115–49. Society for Industrial and Applied Mathematics, 2011. http://dx.doi.org/10.1137/1.9781611970692.ch6.

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Conference papers on the topic "Mesh independence"

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Lippert, Andreas M., Shengming Chang, Sasanka Are, and David P. Schmidt. "Mesh Independence and Adaptive Mesh Refinement For Advanced Engine Spray Simulations." In SAE 2005 World Congress & Exhibition. 400 Commonwealth Drive, Warrendale, PA, United States: SAE International, 2005. http://dx.doi.org/10.4271/2005-01-0207.

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Burns, John A., Ekkehard Sachs, and Lizette Zietsman. "Approximations and Mesh Independence for LQR Optimal Control." In Proceedings of the 45th IEEE Conference on Decision and Control. IEEE, 2006. http://dx.doi.org/10.1109/cdc.2006.377431.

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Burns, John A., and Lizette Zietsman. "Upwind approximations and mesh independence for LQR control of convection diffusion equations." In 2007 46th IEEE Conference on Decision and Control. IEEE, 2007. http://dx.doi.org/10.1109/cdc.2007.4434454.

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OSKAY, CAGLAR, and CHENGZHI TIAN. "A New Approach to Alleviating Mesh Size Independence in Multiscale Fatigue Life Prediction in Composites." In American Society for Composites 2018. Lancaster, PA: DEStech Publications, Inc., 2018. http://dx.doi.org/10.12783/asc33/26040.

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Amado Moreira, Gilberto Augusto. "ANALYSIS OF THE INDEPENDENCE OF THE MESH REFINAMENT IN A THREE-DIMENSIONAL NUMERICAL SIMULATION OF A VERTICAL THERMAL TANK." In 24th ABCM International Congress of Mechanical Engineering. ABCM, 2017. http://dx.doi.org/10.26678/abcm.cobem2017.cob17-2603.

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Beck, Joseph A., Alex A. Kaszynski, Jeffrey M. Brown, Daniel L. Gillaugh, and Onome E. Scott-Emuakpor. "Selection of Dynamic Testing Measurement Locations for Integrally Bladed Disks." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-76791.

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The selection of sensor locations during dynamic testing of integrally bladed disks (Blisks) is discussed for measuring experimental mode shapes. As-manufactured geometries of the experimental Blisk are obtained in point-cloud form via a structured light optical measurement system. The nominal finite element mesh of the Blisk is then “morphed” to the average sector of as-measured, point-cloud geometry through a mesh metamorphosis algorithm. A ray-tracing algorithm is developed for selecting observable degrees of freedom (DOFs) of the morphed mesh to an overhead laser scanning vibrometer. This set of DOFs is then down-selected since measuring tens-of-thousands of points is in-feasible during experimental testing. This selection is carried out using a Cyclic Effective Independence Method that exploits a Blisk’s cyclic symmetry to greatly reduce computational expenses. Furthermore, the approach allows for selecting points belonging to specific engine order excitations typical in engine operating environments that can be excited during bench top traveling wave testing. Measurement point locations are compared for three cyclic symmetry finite element models: a nominal coarse mesh density, a nominal fine mesh density, and a fine mesh density morphed to average sector geometries.
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Hossain, Mohammad A., and Sarzina Hossain. "Numerical Investigation of Porous Medium Heat Transfer." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37387.

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This work deals with numerical investigation of porous medium heat transfer for square tube cross flow heat exchanger. The simulation is done for 2D turbulent flow. In order to resolve the flow field, Reynolds Average Navier-stokes (RANS) model is used. Standard k-epsilon model is considered among different RANS model in order to resolve the mean velocity field, pressure drop and temperature distribution. Both average velocity, temperature distribution and pressure drop are calculated for three different cases having three different porosity (ϕ), permeability (K) and inertial coefficient (β). The results of three different cases are compared and presented. First the mesh independence test is done by different mesh size. ANSYS Fluent is used for the simulation. A pressured based solver is used with SIMPLE solution scheme, in order to find different flow variables. Finally the Nusselt number (Nu) and surface heat transfer coefficient (h) are determined and presented.
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Shepard, Thomas G., Kyle Schneider, Sarah Baxter, and William Schwartz. "Experimental Validation of Fluid-Structure Interaction Co-Simulations Using ANSYS via Wind Tunnel Testing of Cantilevered Plate." In ASME 2020 Fluids Engineering Division Summer Meeting collocated with the ASME 2020 Heat Transfer Summer Conference and the ASME 2020 18th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/fedsm2020-20260.

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Abstract Validation of numerical simulations is a key step in gaining confidence in the fidelity of computational models for a given application. These simulations take on additional complexity in fluid structure interactions when the body being studied experiences flow-induced deformation. In this study, experiments are conducted on a cantilevered aluminum plate mounted in a wind tunnel. Experimentally, deflections are measured using Digital Image Correlation and axial bending strains are measured using strain gages and. These values are compared to a coupled fluid-structure interaction simulation, which co-simulated the structural (Lagrangian FEA) and fluid (Navier-Stokes CFD) computational methods. Within the simulations, FEA parameters including mesh size, mapping method, and mesh type were varied; CFD parameters that were varied include turbulence theory, mesh sizing, inflation layer, mapping method, and Courant Number. Values were varied to study their effects on the simulation solution, as well as to ensure mesh independence of the solution relative to both simulation domains. Experiments were conducted on an Aluminum (6061-T6) plate measuring 152.4 × 50.8 × 0.61 mm. The plate was positioned in the wind tunnel at two different angles relative to the oncoming flow and Reynolds numbers of 98,000–247,000 were considered. The numerical simulation demonstrates agreement with DIC displacements and good agreement with measured strains with deflections up to ∼ 11 mm. Future steps are discussed.
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Hossain, Mohammad A., Sarzina Hossain, and Mohammad Ikthair Hossain Soiket. "Numerical Investigation of Vortex Shedding in a Square Cylinder Using RANS and LES Model." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37393.

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This work deals with the numerical investigation of vortex shedding in a square cylinder. The simulation has been done for 2D turbulent flow. Reynolds number (Re) is considered 22000. In order to resolve the flow field, both Reynolds Average Navier-stokes (RANS) model and Large Eddy Simulation (LES) technique were used. Standard k-epsilon model is considered among different RANS model in order to resolve the mean velocity field and the LES is used to capture the flow separation in the flow field. Both average velocity and velocity fluctuation are determined and compared. Different turbulence properties such as turbulent kinetic energy, turbulent intensity, eddy viscosity and vorticity magnitude are determined and presented for different downstream location to describe the complex flow property in turbulent regime. First the mesh independence test is done by different mesh size. ANSYS Fluent is used for the simulation. A pressured based solver is used with SIMPLE solution scheme, in order to find different flow variables. The results are compared with available published data. There are significant agreements with the experimental data.
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Zhu, Jianjun, Ruben Cuamatzi-Melendez, Jose Alberto Martinez Farfan, Haiwen Zhu, Jiecheng Zhang, and Hong-Quan Zhang. "Flow Pattern Prediction in Electrical Submersible Pump (ESP) Under Gassy Flow Conditions Using Transient Multiphase CFD Methods With Visualization Experimental Validation." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83081.

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This paper presents a numerical study of flow pattern recognition inside the rotating impeller of electrical submersible pump (ESP) using the transient multiphase CFD simulations. Based on the previous experimental facility for visualizing flow patterns in an ESP, the entire flow domain is constructed. The high-quality structured mesh comprising hexahedral grids is generated using multi-block technique in ANSYS ICEM. Mesh independence is confirmed by comparing numerical results with catalog curves. For transient two-phase simulation, the realized RNG k-ε turbulence model with volume of fluid (VOF) and Eulerian multiphase models is successfully implemented in ANSYS Fluent solver. The sliding mesh technique is applied to interfaces where rotating and stationary parts interact. By incorporating the same boundary conditions as experimental study, two different cases with fixed liquid flow rates and varying gas flow rates are selected to conduct CFD simulations. The comparison of numerical results against experimental visualizations shows that the two-fluid Eulerian model is superior to VOF model in simulating gas/liquid flow in a rotating ESP. The single-phase simulation results match catalog curves of ESP, which validates the numerical methodology. For gas-liquid simulations, the simulated flow patterns with Eulerian model agree well with visualization experiments. The distinct flow patterns prevailing inside the rotating ESP impeller are captured by CFD simulations, including dispersed bubble flow, bubbly flow, and intermittent flow.
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Reports on the topic "Mesh independence"

1

Merrell, David, Allen Robinson, and Jason Sanchez. Statistical Distributions for Mesh Independent Solutions in ALEGRA. Office of Scientific and Technical Information (OSTI), August 2021. http://dx.doi.org/10.2172/1813648.

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