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Relevant bibliographies by topics / Finite rate stiff relaxation

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Academic literature on the topic 'Finite rate stiff relaxation'

Author: Grafiati

Published: 11 March 2023

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Journal articles on the topic "Finite rate stiff relaxation"

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Vena, P. "A Computational Model of Viscoelastic Composite Materials for Ligament or Tendon Prostheses." Advanced Composites Letters 9, no. 3 (2000): 096369350000900. http://dx.doi.org/10.1177/096369350000900302.

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A constitutive model and a finite element formulation for viscoelastic anisotropic materials subject to finite strains is expounded in this paper. The composite material is conceived as a matrix reinforced with stiff fibres. The constitutive relations are obtained by defining a strain energy function and a relaxation function for each constituent. By means of this approach, the viscoelastic properties of the material constituents can be taken into account and therefore different time dependent behaviour can be assigned to the matrix and to the reinforcing fibres. The response provided by this

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WANG, Y., Y. L. HE, T. S. ZHAO, G. H. TANG, and W. Q. TAO. "IMPLICIT-EXPLICIT FINITE-DIFFERENCE LATTICE BOLTZMANN METHOD FOR COMPRESSIBLE FLOWS." International Journal of Modern Physics C 18, no. 12 (2007): 1961–83. http://dx.doi.org/10.1142/s0129183107011868.

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We propose an implicit-explicit finite-difference lattice Boltzmann method for compressible flows in this work. The implicit-explicit Runge–Kutta scheme, which solves the relaxation term of the discrete velocity Boltzmann equation implicitly and other terms explicitly, is adopted for the time discretization. Owing to the characteristic of the collision invariants in the lattice Boltzmann method, the implicitness can be completely eliminated, and thus no iteration is needed in practice. In this fashion, problems (no matter stiff or not) can be integrated quickly with large Courant–Friedriche–Le

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Boscarino, S., G. Russo, and M. Semplice. "High order finite volume schemes for balance laws with stiff relaxation." Computers & Fluids 169 (June 2018): 155–68. http://dx.doi.org/10.1016/j.compfluid.2017.10.009.

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Abreu, Eduardo, Abel Bustos, and Wanderson Lambert. "A unsplitting finite volume method for models with stiff relaxation source terms." Bulletin of the Brazilian Mathematical Society, New Series 47, no. 1 (2016): 5–20. http://dx.doi.org/10.1007/s00574-016-0118-1.

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Boscheri, Walter, and Raphaël Loubère. "High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms." Communications in Computational Physics 21, no. 1 (2016): 271–312. http://dx.doi.org/10.4208/cicp.oa-2015-0024.

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AbstractIn this paper we present a 2D/3D high order accurate finite volume scheme in the context of direct Arbitrary-Lagrangian-Eulerian algorithms for general hyperbolic systems of partial differential equations with non-conservative products and stiff source terms. This scheme is constructed with a single stencil polynomial reconstruction operator, a one-step space-time ADER integration which is suitably designed for dealing even with stiff sources, a nodal solver with relaxation to determine the mesh motion, a path-conservative integration technique for the treatment of non-conservative pro

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Nshimiyimana, J. D., F. Plumier, C. Ndagije, J. Gyselinck, and C. Geuzain. "High Order Relaxation Methods for Co-simulation of Finite Element and Circuit Solvers." Advanced Electromagnetics 9, no. 1 (2020): 49–58. http://dx.doi.org/10.7716/aem.v9i1.1245.

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Coupled problems result in very stiff problems whose char- acteristic parameters differ with several orders in magni- tude. For such complex problems, solving them monolithi- cally becomes prohibitive. Since nowadays there are op- timized solvers for particular problems, solving uncoupled problems becomes easy since each can be solved indepen- dently with its dedicated optimized tools. Therefore the co-simulation of the sub-problems solvers is encouraged. The design of the transmission coupling conditions between solvers plays a fundamental role. The current paper ap- plies the waveform relaxa

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Busto, Saray, Michael Dumbser, and Laura Río-Martín. "Staggered Semi-Implicit Hybrid Finite Volume/Finite Element Schemes for Turbulent and Non-Newtonian Flows." Mathematics 9, no. 22 (2021): 2972. http://dx.doi.org/10.3390/math9222972.

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This paper presents a new family of semi-implicit hybrid finite volume/finite element schemes on edge-based staggered meshes for the numerical solution of the incompressible Reynolds-Averaged Navier–Stokes (RANS) equations in combination with the k−ε turbulence model. The rheology for calculating the laminar viscosity coefficient under consideration in this work is the one of a non-Newtonian Herschel–Bulkley (power-law) fluid with yield stress, which includes the Bingham fluid and classical Newtonian fluids as special cases. For the spatial discretization, we use edge-based staggered unstructu

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Saxena, Nishank, and Gary Mavko. "Effects of fluid-shear resistance and squirt flow on velocity dispersion in rocks." GEOPHYSICS 80, no. 2 (2015): D99—D110. http://dx.doi.org/10.1190/geo2014-0304.1.

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Laboratory measurements of rocks saturated with high-viscosity fluids (such as heavy-oil, bitumen, magma, kerogen, etc.) often exhibit considerable seismic velocity dispersion, which is usually underestimated by the Biot theory. Over the years, grain-scale dispersion mechanisms such as squirt (local-flow) and shear relaxation (nonzero shear stress in the pore fluid) have been more successful in explaining the measured dispersion. We developed a new method to quantify the combined high-frequency effects of squirt and shear dispersion on the effective moduli of rocks saturated with viscous fluid

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Mendonça da Silveira, Francisco Eugenio. "TEARING MODES GROWTH RATE AMPLIFICATION DUE TO FINITE CURRENT RELAXATION." Acta Polytechnica 57, no. 1 (2017): 32–37. http://dx.doi.org/10.14311/ap.2017.57.0032.

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In this work, we explore the influence of perturbative wavelengths, shorter than those usually considered, on the growth rate γ of the tearing modes. Thus, we adopt an extended form of Ohm’s law, which includes a finite relaxation time for the current density, due to inertial effects of charged species. In the long wavelength limit, we observe the standard γ of the tearing modes. However, in the short wavelength limit, we show that γ does not depend on the fluid resistivity any longer. Actually, we find out that γ now scales with the electron number density n<sub>e</sub> as γ ~ n&l

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Condat, C. A. "Solution to the Glarum model with a finite relaxation rate." Zeitschrift f�r Physik B Condensed Matter 77, no. 2 (1989): 313–20. http://dx.doi.org/10.1007/bf01313675.

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Dissertations / Theses on the topic "Finite rate stiff relaxation"

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Chiocchetti, Simone. "High order numerical methods for a unified theory of fluid and solid mechanics." Doctoral thesis, Università degli studi di Trento, 2022. http://hdl.handle.net/11572/346999.

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This dissertation is a contribution to the development of a unified model of continuum mechanics, describing both fluids and elastic solids as a general continua, with a simple material parameter choice being the distinction between inviscid or viscous fluid, or elastic solids or visco-elasto-plastic media. Additional physical effects such as surface tension, rate-dependent material failure and fatigue can be, and have been, included in the same formalism. The model extends a hyperelastic formulation of solid mechanics in Eulerian coordinates to fluid flows by means of stiff algebrai

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Bilyeu, David Lawrence. "Numerical Simulation of Chemical Reactions Inside a Shock-Tube by the Space-Time Conservation Element and Solution Element Method." The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1213363652.

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Nguyen, Trung Dung. "Experimental and numerical investigation of strain-rate dependent mechanical properties of single living cells." Thesis, Queensland University of Technology, 2015. https://eprints.qut.edu.au/82791/1/Trung%20Dung_Nguyen_Thesis.pdf.

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The objective of this project is to investigate the strain-rate dependent mechanical behaviour of single living cells using both experimental and numerical techniques. The results revealed that living cells behave as porohyperlastic materials and that both solid and fluid phases within the cells play important roles in their mechanical responses. The research reported in this thesis provides a better understanding of the mechanisms underlying the cellular responses to external mechanical loadings and of the process of mechanical signal transduction in living cells. It would help us to enhance

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Book chapters on the topic "Finite rate stiff relaxation"

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Chiocchetti, Simone, and Christoph Müller. "A Solver for Stiff Finite-Rate Relaxation in Baer–Nunziato Two-Phase Flow Models." In Fluid Mechanics and Its Applications. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33338-6_3.

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Vidyasagar, M. "Introduction to Large Deviation Theory." In Hidden Markov Processes. Princeton University Press, 2014. http://dx.doi.org/10.23943/princeton/9780691133157.003.0005.

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This chapter provides an introduction to large deviation theory. It begins with an overview of the motivatio n for the problem under study, focusing on probability distributions and how to construct an empirical distribution. It then considers the notion of a lower semi-continuous function and that of a lower semi-continuous relaxation before discussing the large deviation property for i.i.d. samples. In particular, it describes Sanov's theorem for a finite alphabet and proceeds by analyzing large deviation property for Markov chains, taking into account stationary distributions, entropy and relative entropy rates, the rate function for doubleton frequencies, and the rate function for singleton frequencies.

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Conference papers on the topic "Finite rate stiff relaxation"

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Tang, Qing, Martin Denison, Mike Maguire, Mike Bockelie, and Jyh-Yuan Chen. "Improvements on a Newton-Krylov Based Solver for CFD Models Using Finite Rate NOx Chemistry." In ASME/JSME 2004 Pressure Vessels and Piping Conference. ASMEDC, 2004. http://dx.doi.org/10.1115/pvp2004-3118.

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In this paper, we describe our progress on improving the performance of a newly developed Computational Fluid Dynamics (CFD) modeling tool, which uses reduced chemical kinetics mechanisms to model the finite rate chemistry effects and solves the resulting system of stiff partial differential equations with a matrix-free Newton-Krylov method. A multi-grid based preconditioner and a Newton iteration scheme have been implemented in the Newton-Krylov solver and the reduced mechanism module, respectively, to replace the original Picard based preconditioner and the point iteration scheme for steady

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Cook, David J., Heinz Pitsch, and Norbert Peters. "Numerical Simulation of Combustion Instabilities in a Lean Premixed Combustor With Finite Rate Chemistry." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38558.

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Combustion instabilities in lean premixed gas turbine combustors remain a major limitation in decreasing NOx emissions. Computational Fluid Dynamics (CFD) has become an important design and analysis tool that is often used to predict thermoacoustic oscillations caused by these instabilities. Limitations to prediction accuracy are imposed by the choice of chemistry and combustion model. The focus of this study is to compare CFD calculations using Eddy Dissipation and Finite Rate Chemistry models to experimental data reported by Richards and Janus (1997) on the single-injector lean premixed DOE-

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Chen, Leitao, Hamid Sadat, and Laura Schaefer. "A Multi-Relaxation-Time Finite Volume Discrete Boltzmann Method for Viscous Flows." In ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/ajkfluids2019-5034.

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Abstract Conventional constitutive law-based fluid dynamic models solve the conservation equations of mass and momentum, while kinetic models, such as the well-known lattice Boltzmann method (LBM), solve the propagation and collision processes of the Boltzmann equation-governed particle distribution function (PDF). Such models can provide an a priori modeling platform on a more fundamental level while easily reconstructing macroscopic variables such as velocity and pressure from the PDF. While the LBM requires a rigid and uniform grid for spatial discretization, another similar unique kinetic

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Pellicotte, Jacob, Mario Cotto, and Calvin Stewart. "Assessment of Calibration Approaches for the Stress Relaxation Test." In ASME Turbo Expo 2019: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/gt2019-90616.

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Abstract Advanced manufacturing technologies are enabling the next generation of superalloys for extreme temperatures, pressures, and longevity. There is a need for Accelerated Creep Test (ACT) methods to reduce the time needed to implement new creep resistant superalloys. Without the development of ACTs, the qualification of new superalloys using conventional creep tests can take 11+ years corresponding to the 100,000-hour service life of long-lived turbomachinery components. A refined stress relaxation test (SRT) is introduced to succeed real-time conventional creep tests (CCTs). The stress

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Fiolitakis, A., R. Lückerath, O. Lammel, et al. "Assessment of a Finite-Rate-Chemistry Model for ANSYS® CFX® Using Experimental Data of a Downsized Gas Turbine Combustor." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75638.

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In this work the implementation and validation of a finite-rate-chemistry (FRC) combustion model for ANSYS® CFX® 15.0 is presented. For the solution of the stiff system of species transport equations a splitting scheme is used where transport processes and chemical reactions are solved numerically in separate steps. In this splitting scheme the software Cantera is used for the integration of the chemistry sub-step. It is coupled via user-defined-functions (“USER-Fortran”) to ANSYS® CFX® 15.0. To provide validation data for this model under gas turbine relevant conditions, a down sized version

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Hares, Edward, Mahmoud Mostafavi, Richard Bradford, and Chris Truman. "The Influence of Creep Strain Rate on Creep Damage Formation in Austenitic Stainless Steel." In ASME 2018 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/pvp2018-84635.

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Motivated by the need to more accurately account for real, in-service, operating conditions, this paper aims to investigate whether creep strain accumulated at different strain rates is equally damaging. Previous research has suggested that creep strain is more damaging when accumulated more slowly in creep of notched bars. The research presented here seeks to address this question by considering the accumulation of creep strain during stress relaxation of notched bars. Repeat stress relaxation tests with varying dwell lengths were conducted so that the relative damaging effects of the early,

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Pressburger, Yoram, Renato Perucchio, and David A. Field. "A Two-Level Multigrid Algorithm for Solving 3-D Quadratic Finite Element Models." In ASME 1991 International Computers in Engineering Conference and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/cie1991-0098.

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Abstract A two-level multigrid algorithm for solving a quadratic finite element models containing tetrahedral meshes is presented. The basic idea is to generate two nested finite element models, first a linear model and then a quadratic one embedded hierarchically into the linear one. The exact solution to the linear model is computed and a two-level iterative procedure is used to solve for the quadratic model. In particular, the Successive Over Relaxation (SOR) method is used for the smoothing iteration on the quadratic model in each two-level cycle. A numerical study is carried out to determ

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Gao, Wen, Tom Harrup, Yuxia Hu, and David White. "Effect of a Strong Middle Layer on Spudcan Penetration." In ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/omae2014-23925.

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The rapid penetration of one or more of the foundations of a mobile jack-up rig into the seabed is an ongoing major problem in the offshore industry, with the potential to cause major damage to the structure and endangering any personnel on board. A recent example is the jack-up drilling rig Perro Negro 6 incident happened near the mouth of the Congo river in July 2013 with one of the rig’s crew of 103 reported missing and six others injured. This uncontrollable displacement is due to a form of failure known as punch through failure and commonly occurs on stratified seabed profiles. It has bee

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Agrawal, Govind P. "Effect of gain and index nonlinearities on single-mode dynamics in semiconductor lasers." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.maa3.

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The dynamic response of semiconductor lasers is generally studied by solving the single-mode rate equations which assume an instantaneous relaxation of carriers within the conduction and the valence bands. Even though the intraband relaxation time is typically ~0.1 ps, it can affect laser dynamics significantly. To the first order, the effects of a finite intraband relaxation time are included in the rate equations by assuming that the modal gain g decreases linearly with the intracavity mode intensity I, i.e., g = g0 (1–εI). This functional form of the nonlinear gain becomes questionable at h

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Wang, Xin, H. Jerry Qi, and Mark E. Rentschler. "Analysis of Wheel-Tissue Interaction for In Vivo Robotic Mobility." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-37570.

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Providing mobility of miniature, in vivo surgical robots under a variety of changing in vivo conditions is necessary to help expand the application of minimally invasive surgery. Analytical and finite element analysis results of wheeled mobility on tissue inside abdominal cavity are presented here, as a preliminary step towards further improved mobility performance. Results indicate that the mobility of a wheeled robot on tissue is influenced by factors including wheel torque application rate and material relaxation time. While using a viscoelastic standard linear solid material tissue model,

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