Relevant bibliographies by topics / Non-compact solutions

Contents

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

Academic literature on the topic 'Non-compact solutions'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Non-compact solutions.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Non-compact solutions"

1

Randjbar-Daemi, S., and C. Wetterich. "Kaluza-Klein solutions with non-compact internal spaces." Physics Letters B 166, no. 1 (January 1986): 65–68. http://dx.doi.org/10.1016/0370-2693(86)91156-1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Iofa, M. Z., and L. A. Pando Zayas. "Non-Abelian Fields in Exact String Solutions." Modern Physics Letters A 12, no. 13 (April 30, 1997): 913–24. http://dx.doi.org/10.1142/s0217732397000947.

Full text
Abstract:
Within the framework of "anomalously gauged" Wess–Zumino–Witten (WZW) models, we construct solutions which include non-Abelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of background containing non-Abelian fields, we discuss conformal theory on the SO(4)/SO(3) coset, which is the natural generalization of the 2-D monopole theory corresponding to the SO(3)/SO(2) coset. In noncompact case, we consider examples with SO(2, 1)/SO(1, 1) and SO(3, 2)/SO(3, 1) cosets.
APA, Harvard, Vancouver, ISO, and other styles
3

Elqorachi, E., M. Akkouchi, A. Bakali, and B. Bouikhalene. "Badora's Equation on Non-Abelian Locally Compact Groups." gmj 11, no. 3 (September 2004): 449–66. http://dx.doi.org/10.1515/gmj.2004.449.

Full text
Abstract:
Abstract This paper is mainly concerned with the following functional equation where 𝐺 is a locally compact group, 𝐾 a compact subgroup of its morphisms, and μ is a generalized Gelfand measure. It is shown that continuous and bounded solutions of this equation can be expressed in terms of μ-spherical functions. This extends the previous results obtained by Badora (Aequationes Math. 43: 72–89, 1992) on locally compact abelian groups. In the case where 𝐺 is a connected Lie group, we characterize solutions of the equation in question as joint eigenfunctions of certain operators associated to the left invariant differential operators.
APA, Harvard, Vancouver, ISO, and other styles
4

PETEAN, Jimmy, and Juan Miguel RUIZ. "Stable solutions of the Yamabe equation on non-compact manifolds." Journal of the Mathematical Society of Japan 68, no. 4 (October 2016): 1473–86. http://dx.doi.org/10.2969/jmsj/06841473.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

CHANDLER, G. A., and I. G. GRAHAM. "Uniform Convergence of Galerkin Solutions to Non-compact Integral Operator Equations." IMA Journal of Numerical Analysis 7, no. 3 (1987): 327–34. http://dx.doi.org/10.1093/imanum/7.3.327.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Daskalopoulos, Panagiota, John King, and Natasa Sesum. "Extinction profile of complete non-compact solutions to the Yamabe flow." Communications in Analysis and Geometry 27, no. 8 (2019): 1757–98. http://dx.doi.org/10.4310/cag.2019.v27.n8.a4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Zubelevic, Oleg. "On Periodic Solutions to Constrained Lagrangian System." Canadian Mathematical Bulletin 63, no. 1 (December 18, 2019): 242–55. http://dx.doi.org/10.4153/s0008439519000456.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

de Andrade, Bruno, and Claudio Cuevas. "Compact almost automorphic solutions to semilinear Cauchy problems with non-dense domain." Applied Mathematics and Computation 215, no. 8 (December 2009): 2843–49. http://dx.doi.org/10.1016/j.amc.2009.09.025.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Molica Bisci, Giovanni, and Luca Vilasi. "Isometry-invariant solutions to a critical problem on non-compact Riemannian manifolds." Journal of Differential Equations 269, no. 6 (September 2020): 5491–519. http://dx.doi.org/10.1016/j.jde.2020.04.013.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

de Bouard, Anne, and Yvan Martel. "Non existence of L2?compact solutions of the Kadomtsev?Petviashvili II equation." Mathematische Annalen 328, no. 3 (March 1, 2004): 525–44. http://dx.doi.org/10.1007/s00208-003-0498-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Non-compact solutions"

1

Baldwin, Peter John. "Solutions of Dirac equations on certain non compact manifolds." Thesis, University of Cambridge, 1999. https://www.repository.cam.ac.uk/handle/1810/265586.

Full text
Abstract:
This thesis is in two parts. Part one concerns a smooth Riemannian manifold Mn with a codimension two submanifold Σn-2 whose complement is spin. A removable singularities theorem is proven for square summable harmonic spinors associated to spin structures on Mn - Σn-2 which extend to Mn. It is shown that there may be a non-trivial finite dimensional vector space of L2 harmonic spinors, with interesting new behaviour, associated to a non-extending spin structure on Mn - Σn-2. Bounds are obtained for the dimension of this null space for any spin structure on a punctured Riemann surface. These bounds are seen to be sharp in certain cases. An index theorem for Dirac operators associated to non-extending spin structures on M2n - Σ2n-2 is proved when Σ2n-2 has trivial normal bundle. This index is computable in terms of characteristic classes of M2n and Σ2n-2. It does not depend upon the smooth metric on M2n. Reducing this index theorem modulo two gives a generalisation of the work of Esnault, Seade and Viehweg to the smooth category. An index theorem is conjectured for non-extending spin structure on M2n - Σ2n-2 when Σ2n-2 has non-trivial normal bundle. Evidence from a number of sources is presented for this. In part two the author proves the uniqueness of the Sen form on the two monopole moduli space. This was conjectured by Sen in 1994 motivated by physical arguments from S-duality in non-abelian gauge theory.
APA, Harvard, Vancouver, ISO, and other styles
2

Sarkis, Matthieu. "Compactifications hétérotiques avec flux." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066074/document.

Full text
Abstract:
Nous étudions différents aspects liés aux compactifications hétérotiques avec torsion. Nous définissons et calculons le genre elliptique vêtu associé aux compactifications Fu-Yau, et exploitons ce résultat pour calculer les corrections de seuil à une boucle de différents couplages BPS-saturés dans l’action effective de supergravité à quatre dimen- sions. Enfin nous nous intéressons à des solutions supersymétriques non-compactes qui généralisent, entre autres, les solutions hétérotiques connues sur le conifold
We study various aspects of heterotic compactifications with torsion. We de- fine and compute the dressed elliptic genus associated to Fu-Yau compactifications, and use this result to compute one-loop threshold corrections to various BPS-saturated cou- plings in the four-dimensional effective supergravity action. Finally, we study non-compact supersymmetric solutions which generalize, among others, the known heterotic solutions on the conifold
APA, Harvard, Vancouver, ISO, and other styles
3

Sauvy, Paul. "Étude de quelques problèmes elliptiques et paraboliques quasi-linéaires avec singularités." Thesis, Pau, 2012. http://www.theses.fr/2012PAUU3020/document.

Full text
Abstract:
Cette thèse s’inscrit dans le domaine mathématique de l’analyse des équations aux dérivées partielles non-linéaires. Plus précisément, nous avons fait ici l’étude de problèmes quasi-linéaires singuliers. Le terme "singulier" fait référence à l’intervention d’une non-linéarité qui explose au bord du domaine où ’équation est posée. La présence d’une telle singularité entraîne un manque de régularité et donc de compacité des solutions qui ne nous permet pas d’appliquer directement les méthodes classiques de l’analyse non-linéaire pour démontrer l’existence de solutions et discuter des propriétés de régularité et de comportement asymptotique de ces solutions. Pour contourner cette difficulté, nous sommes amenés à établir des estimations a priori très fines au voisinage du bord du domaine en combinant diverses méthodes : méthodes de monotonie (reliée au principe du maximum), méthodes variationnelles, argument de convexité, méthodes de point fixe et semi-discrétisation en temps. A travers, l’étude de trois problèmes-modèle faisant intervenir l’opérateur p-Laplacien, nous avons montré comment ces différentes méthodes pouvaient être mises en œuvre. Les résultats que nous avons obtenus sont décrits dans les trois chapitres de cette thèse : Dans le Chapitre I, nous avons étudié un problème d’absorption elliptique singulier. En utilisant des méthodes de sur- et sous solutions et des méthodes variationnelles, nous établissons des résultats d’existence de solutions. Par des méthodes de comparaison locale, nous démontrons également la propriété de support compact de ces solutions, pour de fortes singularités. Dans le Chapitre II, nous étudions le cas d’un système d’équations quasi-linéaires singulières. Par des arguments de point fixe et de monotonie, nous démontrons deux résultats généraux d’existence de solutions. Dans un deuxième temps, nous faisons une analyse plus détaillée de systèmes du type Gierer-Meinhardt modélisant des phénomènes biologiques. Des résultats d’unicité ainsi que des estimations précises sur le comportement des solutions sont alors obtenus. Dans le Chapitre III, nous faisons l’étude d’un problème d’absorption, parabolique singulier. Nous établissons par une méthode de semi-discrétisation en temps des résultats d’existence de solutions. Grâce à des inégalités d’énergie, nous démontrons également l’extinction en temps fini de ces solutions
This thesis deals with the mathematical field of nonlinear partial differential equations analysis. More precisely, we focus on quasilinear and singular problems. By singularity, we mean that the problems that we have considered involve a nonlinearity in the equation which blows-up near the boundary. This singular pattern gives rise to a lack of regularity and compactness that prevent the straightforward applications of classical methods in nonlinear analysis used for proving existence of solutions and for establishing the regularity properties and the asymptotic behavior of the solutions. To overcome this difficulty, we establish estimations on the precise behavior of the solutions near the boundary combining several techniques : monotonicity method (related to the maximum principle), variational method, convexity arguments, fixed point methods and semi-discretization in time. Throughout the study of three problems involving the p-Laplacian operator, we show how to apply this different methods. The three chapters of this dissertation the describes results we get :– In Chapter I, we study a singular elliptic absorption problem. By using sub- and super-solutions and variational methods, we prove the existence of the solutions. In the case of a strong singularity, by using local comparison techniques, we also prove that the compact support of the solution. In Chapter II, we study a singular elliptic system. By using fixed point and monotonicity arguments, we establish two general theorems on the existence of solution. In a second time, we more precisely analyse the Gierer-Meinhardt systems which model some biological phenomena. We prove some results about the uniqueness and the precise behavior of the solutions. In Chapter III, we study a singular parabolic absorption problem. By using a semi-discretization in time method, we establish the existence of a solution. Moreover, by using differential energy inequalities, we prove that the solution vanishes in finite time. This phenomenon is called "quenching"
APA, Harvard, Vancouver, ISO, and other styles
4

Lasserre, Sébastien. "Contribution à l' étude mathématique et numérique des solutions à support compact pour les modèles de turbulence compressible." Paris 6, 2005. http://www.theses.fr/2005PA066427.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Non-compact solutions"

1

Isett, Philip. A Main Lemma for Continuous Solutions. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0005.

Full text
Abstract:
This chapter introduces the Main Lemma that implies the existence of continuous solutions. According to this lemma, there exist constants K and C such that the following holds: Let ϵ‎ > 0, and suppose that (v, p, R) are uniformly continuous solutions to the Euler-Reynolds equations on ℝ x ³, with v uniformly bounded⁷ and suppR ⊆ I x ³ for some time interval. The Main Lemma implies the following theorem: There exist continuous solutions (v, p) to the Euler equations that are nontrivial and have compact support in time. To establish this theorem, one repeatedly applies the Main Lemma to produce a sequence of solutions to the Euler-Reynolds equations. To make sure the solutions constructed in this way are nontrivial and compactly supported, the lemma is applied with e(t) chosen to be any sequence of non-negative functions whose supports are all contained in some finite time interval.
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Non-compact solutions"

1

Bakelman, Ilya J. "Non-Compact Problems for Elliptic Solutions of Monge-Ampere Equations." In Convex Analysis and Nonlinear Geometric Elliptic Equations, 204–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-69881-1_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Danisi, Carmelo, Moira Dustin, Nuno Ferreira, and Nina Held. "Life in the Countries of Origin, Departure and Travel Towards Europe." In IMISCOE Research Series, 139–78. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-69441-8_5.

Full text
Abstract:
AbstractAccording to the United Nations (UN), at least 258 million people are moving across countries around the globe, consciously or unconsciously, in search of a safe and dignified life (IOM 2019; UN 2017). The international attempt to regulate these movements through the so-called Compacts seems unlikely to provide effective solutions. Often criticised as being non-binding instruments but with great potential in shaping states’ future behaviour (Türk 2018), the Compacts are not explicit in including SOGI minorities in the measures to be adopted through international cooperation for improving the management of migration and refugee flows, while respecting their human rights. It is noticeable that objective no. 7 (‘Address and reduce vulnerabilities in migration’) of the Global Compact related to migration refers to ‘victims of violence, including sexual and gender-based violence (…) [and] persons who are discriminated against on any basis’ as examples of vulnerable groups and, more generally, advances the development of gender-responsive migration policies (Atak et al. 2018). Equally, the Global Compact on Refugees pays attention in all fields to ‘sexual and gender-based violence’, while calling upon states to strengthen international efforts to prevent and combat it (paras. 5, 13, 51, 57, 59, 72 and 75). Yet, although this wording may be inclusive of SOGI, the Compacts avoided any specific reference or commitment in relation either to migrants who identify themselves as LGBTIQ+ or to SOGI claimants, perhaps owing to the need for the widest possible consensus among UN member states to secure the Compacts’ adoption. This represents a missed opportunity to raise awareness of SOGI asylum claimants’ needs at the universal level and speed up multilateral solutions to the movements across countries of people fleeing homophobia and transphobia.
APA, Harvard, Vancouver, ISO, and other styles
3

Sohor, Andrii, and Markiian Sohor. "APPLICATION OF SVD METHOD IN SOLVING INCORRECT GEODESIC PROBLEMS." In Priority areas for development of scientific research: domestic and foreign experience. Publishing House “Baltija Publishing”, 2021. http://dx.doi.org/10.30525/978-9934-26-049-0-36.

Full text
Abstract:
The most reliable method for calculating linear equations of the least squares principle, which can be used to solve incorrect geodetic problems, is based on matrix factorization, which is called a singular expansion. There are other methods that require less machine time and memory. But they are less effective in taking into account the errors of the source information, rounding errors and linear dependence. The methodology of such research is that for any matrix A and any two orthogonal matrices U and V there is a matrix Σ, which is determined from the ratio. The idea of a singular decomposition is that by choosing the right matrices U and V, you can convert most elements of the matrix to zero and make it diagonal with non-negative elements. The novelty and relevance of scientific solutions lies in the feasibility of using a singular decomposition of the matrix to obtain linear equations of the least squares method, which can be used to solve incorrect geodetic problems. The purpose of scientific research is to obtain a stable solution of parametric equations of corrections to the results of measurements in incorrect geodetic problems. Based on the performed research on the application of the singular decomposition method in solving incorrect geodetic problems, we can summarize the following. A singular expansion of a real matrix is any factorization of a matrix with orthogonal columns , an orthogonal matrix and a diagonal matrix , the elements of which are called singular numbers of the matrix , and the columns of matrices and left and right singular vectors. If the matrix has a full rank, then its solution will be unique and stable, which can be obtained by different methods. But the method of singular decomposition, in contrast to other methods, makes it possible to solve problems with incomplete rank. Research shows that the method of solving normal equations by sequential exclusion of unknowns (Gaussian method), which is quite common in geodesy, does not provide stable solutions for poorly conditioned or incorrect geodetic problems. Therefore, in the case of unstable systems of equations, it is proposed to use the method of singular matrix decomposition, which in computational mathematics is called SVD. The SVD singular decomposition method makes it possible to obtain stable solutions of both stable and unstable problems by nature. This possibility to solve incorrect geodetic problems is associated with the application of some limit τ, the choice of which can be made by the relative errors of the matrix of coefficients of parametric equations of corrections and the vector of results of geodetic measurements . Moreover, the solution of the system of normal equations obtained by the SVD method will have the shortest length. Thus, applying the apparatus of the singular decomposition of the matrix of coefficients of parametric equations of corrections to the results of geodetic measurements, we obtained new formulas for estimating the accuracy of the least squares method in solving incorrect geodetic problems. The derived formulas have a compact form and make it possible to easily calculate the elements and estimates of accuracy, almost ignoring the complex procedure of rotation of the matrix of coefficients of normal equations.
APA, Harvard, Vancouver, ISO, and other styles
4

Jacobsen, Jesper Lykke. "Integrability in statistical physics and quantum spin chains." In Integrability: From Statistical Systems to Gauge Theory, 1–59. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198828150.003.0001.

Full text
Abstract:
This chapter illustrates basic concepts of quantum integrable systems on two important models of statistical physics: the Q-state Potts model and the O(n) model. Both models are transformed into loop and vertex models that provide representations of the dense and dilute Temperley–Lieb algebras. The identification of the corresponding integrable R-matrices leads to the solution of both models by the algebraic Bethe Ansatz technique. Elementary excitations are discussed in the critical case and the link to conformal field theory in the thermodynamic limit is established. The concluding sections outline the solution of a specific model of the theta point of collapsing polymers, leading to a continuum limit with a non-compact target space.
APA, Harvard, Vancouver, ISO, and other styles
5

Smolianski, Anton A. "Approximate solution of problem on viscous flow with evaporating non-compact free boundary." In finite element methods, 249–57. Routledge, 2017. http://dx.doi.org/10.1201/9780203756034-19.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Non-compact solutions"

1

Chand, Naresh, Todd DeLuck, J. Hunton Andrew, Bruce M. Eteson, T. Moriarty Daniel, and Robert T. Carlson. "Compact low-cost non-RF communication solutions for unmanned ground vehicles." In MILCOM 2010 - 2010 IEEE Military Communications Conference. IEEE, 2010. http://dx.doi.org/10.1109/milcom.2010.5680178.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Muzychka, Y. S., and M. M. Yovanovich. "Compact Models for Transient Conduction or Viscous Transport in Non-Circular Geometries With a Uniform Source." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-61323.

Full text
Abstract:
Transient heat conduction in solid prismatic bars of constant cross-sectional area having uniform heat generation and unsteady momentum transport in infinitely long ducts of arbitrary but constant cross-sectional area are examined. In both cases the solutions are mathematically modeled using a transient Poisson equation. By means of scaling analysis a general asymptotic model is developed for an arbitrary non-circular cross-section. Further, by means of a novel characteristic length scale, the solutions for a number of fundamental shapes are shown to be weak functions of geometry. The proposed models can be used to predict the dimensionless mean flux at the wall and the area averaged temperature or velocity for the tube, annulus, channel and rectangle for which exact series solutions exist. Due to the asymptotic nature of the proposed models, it is shown that they are also applicable to other shapes at short and long times for which no solutions or data exist. The root mean square (RMS) error based on comparisons with exact results is between 2.2–7.6 percent for all data considered.
APA, Harvard, Vancouver, ISO, and other styles
3

Bahrami, M., M. M. Yovanovich, and J. R. Culham. "A Compact Model for Spherical Rough Contacts." In ASME/STLE 2004 International Joint Tribology Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/trib2004-64015.

Full text
Abstract:
The contact of rough spheres is of high interest in many tribological, thermal, and electrical fundamental analyses. Implementing the existing models is complex and requires iterative numerical solutions. In this paper a new model is presented and a general pressure distribution is proposed that encompasses the entire range of spherical rough contacts including the Hertzian limit. It is shown that the non-dimensional maximum contact pressure is the key parameter that controls the solution. Compact expressions are proposed for calculating the pressure distribution, radius of the contact area, elastic bulk deformation, and the compliance as functions of the governing non-dimensional parameters. The present model shows the same trends as those of the Greenwood and Tripp model. Correlations proposed for the contact radius and the compliance are compared with experimental data collected by others and good agreement is observed.
APA, Harvard, Vancouver, ISO, and other styles
4

Hofmeister, Thomas, Tobias Hummel, Bruno Schuermans, and Thomas Sattelmayer. "Modeling and Quantification of Acoustic Damping Induced by Vortex Shedding in Non-Compact Thermoacoustic Systems." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90241.

Full text
Abstract:
Abstract This paper presents a methodology to compute acoustic damping rates of transversal, high-frequency modes induced by vortex-shedding. The acoustic damping rate presents one key quantity for the assessment of the linear thermoacoustic stability of gas turbine combustors. State of the art network models — as employed to calculate damping rates in low-frequency, longitudinal systems — cannot fulfill this task due to the acoustic non-compactness encountered in the high-frequency regime. Furthermore, it is yet unclear, whether direct eigensolutions of the Linearized Euler Equations (LEE), which capture the mechanism of vortex shedding, yield correct damping rate results constituted by the implicit presence of acoustic as well as hydrodynamic contributions in these solutions. The methodology’s applicability to technically relevant systems is demonstrated by a validation test case using a lab-scale, swirl-stabilized combustion system.
APA, Harvard, Vancouver, ISO, and other styles
5

Hofmeister, Thomas, Tobias Hummel, Frederik Berger, Noah Klarmann, and Thomas Sattelmayer. "Elimination of Numerical Damping in the Stability Analysis of Non-Compact Thermoacoustic Systems With Linearized Euler Equations." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16051.

Full text
Abstract:
Abstract The hybrid Computational Fluid Dynamics/Computational AeroAcoustics (CFD/CAA) approach represents an effective method to assess the stability of non-compact thermoacoustic systems. This paper summarizes the state-of-the-art of this method, which is currently applied for the stability prediction of a lab-scale configuration of a perfectly-premixed, swirl-stabilized gas turbine combustion chamber at the Thermodynamics institute of the Technical University of Munich. Specifically, 80 operational points, for which experimentally observed stability information is readily available, are numerically investigated concerning their susceptibility to develop thermoacoustically unstable oscillations at the first transversal eigenmode of the combustor. Three contributions are considered in this work: (1) flame driving due the deformation and displacement of the flame, (2) visco-thermal losses in the acoustic boundary layer and (3) damping due to acoustically induced vortex shedding. The analysis is based on eigenfrequency computations of the Linearized Euler Equations with the stabilized Finite Element Method (sFEM). One main advancement presented in this study is the elimination of the non-physical impact of artificial diffusion schemes, which is necessary to produce numerically stable solutions, but falsifies the computed stability results.
APA, Harvard, Vancouver, ISO, and other styles
6

Jordan, Stephen A. "The Effects of the Boundary Stencils on the Field Spatial Resolution When Using Compact Finite Differences." In ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/fedsm2006-98049.

Full text
Abstract:
When establishing the spatial resolution character of a composite compact finite differencing template for high-order field solutions, the stencils selected at non-periodic boundaries are commonly treated independent of the interior scheme. This position quantifies a false influence of the boundary scheme on the resultant interior dispersive and dissipative consequences of the compound template. Of the three ingredients inherent in the composite template, only its numerical accuracy and global stability have been properly treated in a coupled fashion. Herein, we present a companion means for quantifying the resultant spatial resolution properties. Compact boundary stencils with free parameters to minimize the field dispersion (or phase error) and dissipation are included in the proposed procedure. Application of the couples templates to Burgers equation at the non-periodic boundary showed significant differences in the predictive error.
APA, Harvard, Vancouver, ISO, and other styles
7

Hofmeister, Thomas, Tobias Hummel, Bruno Schuermans, and Thomas Sattelmayer. "Quantification of Energy Transformation Processes Between Acoustic and Hydrodynamic Modes in Non-Compact Thermoacoustic Systems via a Helmholtz-Hodge Decomposition Approach." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90240.

Full text
Abstract:
Abstract Solutions of the Linearized Euler Equations (LEE) are composed of acoustic, entropy and vortical perturbation types. The excitation of the latter can be provoked by a transformation of acoustic into rotational energy, which originates from the interaction between acoustics and a mean flow shear-layer. This is known as acoustically induced vortex shedding and represents the phenomenon of interest in this study. In the field of thermoacoustics, numerical eigenfrequency simulations with the LEE have moved into focus to determine the acoustic damping rates associated with vortex shedding to complete thermoacoustic stability analyses of gas turbine combustors. However, there is yet no fundamental investigation existent, which establishes the legitimation to consider these LEE damping rates for this purpose. This question arises due to the implicit presence of vortical disturbances caused by vortex shedding next to the acoustic ones in LEE eigensolutions. In conclusion, the corresponding damping rates are not expected to represent the pure acoustic damping rates, which are exclusively required for a thermoacoustic stability analysis. The main objective of this work comprises the clarification, whether damping rates obtained by straightforwardly performed LEE eigenfrequency simulations can be used for a thermoacoustic stability assessment, although their eigen-solutions are “polluted” by further disturbance types, i.e. the vortical one in this study. Therefore, a Helmholtz-Hodge decomposition approach is applied to LEE eigenmode shapes, which allows to explicitly access acoustic and vortical disturbance fields. These are used to extract the unambiguous, pure acoustic damping rates from LEE eigensolutions via evaluations of appropriate energy terms. The resulting damping rates are finally compared to the corresponding, original LEE damping rates and their experimental counterparts.
APA, Harvard, Vancouver, ISO, and other styles
8

Ruggieri, Claudio, and Rodolfo F. de Souza. "Wide Range Compliance Solutions for Various Fracture Test Specimens Using Crack Mouth Opening Displacement." In ASME 2017 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/pvp2017-65024.

Full text
Abstract:
This work addresses the development of wide range compliance solutions for tensile-loaded and bend specimens based on CMOD. The study covers selected standard and non-standard fracture test specimens, including the compact tension C(T) configuration, the single edge notch tension SE(T) specimen with fixed-grip loading (clamped ends) and the single edge notch bend SE(B) geometry with varying specimen spam over width ratio and loaded under 3-point and 4-point flexural configuration. Very detailed elastic finite element analysis in 2-D setting are conducted on fracture models with varying crack sizes to generate the evolution of load with displacement for those configurations from which the dependence of specimen compliance on crack length, specimen geometry and loading mode is determined. The extensive numerical analyses conducted here provide a larger set of solutions upon which more accurate experimental evaluations of crack size changes in fracture toughness and fatigue crack growth testing can be made.
APA, Harvard, Vancouver, ISO, and other styles
9

Schmidt, Lasse, Søren Ketelsen, Damiano Padovani, and Kasper Aa Mortensen. "Improving the Efficiency and Dynamic Properties of a Flow Control Unit in a Self-Locking Compact Electro-Hydraulic Cylinder Drive." In ASME/BATH 2019 Symposium on Fluid Power and Motion Control. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/fpmc2019-1671.

Full text
Abstract:
Abstract The introduction of low cost electric motor and drive solutions provides the possibility to design cost competitive compact speed-variable drives as potentially feasible alternatives to conventional valve-controlled solutions. A main drawback in existing self-contained drive technology is the power consumption in stationary load carrying situations. However, the recent introduction of compact self-locking drive topologies with separate forward and return flow lines allow to significantly minimize the power consumption, but introduces another problem. Dependent on the control of the flow device, a continuous, but lower power consumption compared to non-self-locking drive topologies may be present. Furthermore, the piston motion may exhibit a time delay due to an outlet pressure build-up phase in the flow unit prior to actuation of the cylinder, limiting the application range of such a drive concept. The purpose of the study presented, is to analyze these properties through model-based methods, and to establish control functionalities allowing to minimize these unfortunate features. The resulting flow device control structure allows for a significant reduction in the actuation time delay as well as in the power consumption in stationary load carrying situations. Numerical results demonstrate the properties announced by the theoretical analysis and control design phase, hence broadening the application range of the self-locking drive topology in question.
APA, Harvard, Vancouver, ISO, and other styles
10

Olson, Richard, and Ben Thornton. "Semi-Closed-Form Displacement Equations for Calculating J-R Curves From Pipe Fracture Experiments." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45571.

Full text
Abstract:
The equations to generate a J-R curve from a four-point bend test on circumferentially cracked pipe have been known for many years. Given the experimental pipe load-displacement record and crack growth, the only impediment to routinely calculating pipe J-R curves is the requirement to know the non-cracked pipe elastic and plastic displacements. Traditionally, finite element analyses are used to find these displacements. This paper presents a semi-closed-form solution for the total (elastic plus plastic) non-cracked pipe displacements that eliminates the need to perform finite element analyses to calculate a pipe J-R curve. Using a Ramberg-Osgood nonlinear representation of the stress-strain curve and the assumption that plane sections remain plane, beam bending equations can be written to find nonlinear beam displacements for pipe bend geometries with a base metal crack. Building on this result, the solution is extended to the dissimilar metal weld (DMW) case with five nonlinear materials. The non-cracked pipe displacement solutions are presented as well as comparisons using these equations between compact tension specimen J-R toughness curves and J-R curves from pipe experiments.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Non-compact solutions' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography