Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials: Implicit relaxed all Mach number schemes for gases and compressible materials

Authors: Thomann, Andrea, Iollo, Angelo, Puppo, Gabriella

Contributors: Iollo, Angelo

Source: SIAM Journal on Scientific Computing. 45:A2632-A2656

Subject Terms: Nonlinear elasticity, FOS: Physical sciences, Gas dynamics (general theory), [MATH] Mathematics [math], 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), All-speed scheme, [PHYS] Physics [physics], Eulerian elasticity, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, relaxation method, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Numerical Analysis (math.NA), all-speed scheme, Euler equations, linearly implicit higher order methods, Finite difference methods applied to problems in solid mechanics, low Mach number limit, Numerical methods for stiff equations, Hyperbolic conservation laws, linearly implicit higher order schemes

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2112.14126
https://zbmath.org/7749381
https://doi.org/10.1137/21m146819x
https://hal.science/hal-04375656v2
https://hal.science/hal-04375656v2/document
https://doi.org/10.1137/21m146819x
https://hdl.handle.net/11573/1706229
https://doi.org/10.1137/21M146819X

A new strategy for 3D non-persistent crack propagation by the numerical manifold method with tetrahedral meshes

Authors: Shikou Yang, Ruyi Chen

Source: Engineering Analysis with Boundary Elements. 148:190-204

Subject Terms: numerical manifold method, cutting surface method, non-persistent crack, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Brittle fracture, Finite volume methods applied to problems in solid mechanics, Mohr-Coulomb failure criterion, 0211 other engineering and technologies, crack propagation, 02 engineering and technology, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7684160
https://doi.org/10.1016/j.enganabound.2022.12.037

Lattice Boltzmann for linear elastodynamics: Periodic problems and Dirichlet boundary conditions: Lattice Boltzmann for linear elastodynamics: periodic problems and Dirichlet boundary conditions

Authors: Oliver Boolakee, Martin Geier, Laura De Lorenzis

Source: Computer Methods in Applied Mechanics and Engineering. 433:117469

Subject Terms: Elastic materials, vectorial LBM, Lattice Boltzmann method, Vectorial LBM, Numerical Analysis (math.NA), 01 natural sciences, elastodynamics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, lattice Boltzmann method, Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, Elastodynamics, FOS: Mathematics, Particle methods and lattice-gas methods, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis

File Description: application/xml

Access URL: http://arxiv.org/abs/2408.01081

A novel approach to surface tension modelling with the Finite Volume Particle Method: A novel approach to surface tension modelling with the finite volume particle method

Authors: Ebrahim Jahanbakhsh, François Avellan, Audrey Maertens

Source: Computer Methods in Applied Mechanics and Engineering. 341:409-428

Subject Terms: wetting, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Structured surfaces and interfaces, coexistent phases, Finite volume methods applied to problems in solid mechanics, surface tension, FVPM, surface roughness, 0103 physical sciences, finite volume particle method, contact angle, 01 natural sciences

File Description: application/xml

Access URL: https://infoscience.epfl.ch/record/255612/usage
https://ui.adsabs.harvard.edu/abs/2018CMAME.341..409M/abstract
https://www.sciencedirect.com/science/article/pii/S0045782518300896

New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation: New conservative finite volume element schemes for the modified regularized long wave equation

Authors: Zhiyue Zhang, Jinliang Yan, Zhilin Li, Ming-Chih Lai

Source: Advances in Applied Mathematics and Mechanics. 9:250-271

Subject Terms: finite volume element method, Solitary waves in solid mechanics, Finite volume methods for boundary value problems involving PDEs, momentum, 16. Peace & justice, 01 natural sciences, 7. Clean energy, MRLW equation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, 13. Climate action, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, mass, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, 10. No inequality, energy

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Access URL: https://zbmath.org/7407125
https://doi.org/10.4208/aamm.2014.m888
https://www.cambridge.org/core/journals/advances-in-applied-mathematics-and-mechanics/article/new-conservative-finite-volume-element-schemes-for-the-modified-regularized-long-wave-equation/765D2316A470B9147EDE2C3182BE6DC5
https://ir.nctu.edu.tw:443/handle/11536/133132
https://scholar.nctu.edu.tw/en/publications/newconservative-finite-volume-element-schemes-for-themodified-reg

Integrated simulation of three-dimensional hydraulic fracture propagation and Lagrangian proppant transport in multilayered reservoirs

Authors: Shaowen Mao, Kan Wu, George Moridis

Source: Computer Methods in Applied Mechanics and Engineering. 410:116037

Subject Terms: Finite volume methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, proppant transport, Numerical simulation, hydraulic fracturing, hydraulic fracture propagation, Eulerian-Lagrangian method, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)

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Access URL: https://zbmath.org/7737597
https://doi.org/10.1016/j.cma.2023.116037

Mathematical Modelling of Carbon Nanotube with Fluid Flow using Keller Box Method: A Vibrational Study: Mathematical modelling of carbon nanotube with fluid flow using Keller box method: a vibrational study

Authors: S. E. Ghasemi, A. A. Ahmadi Asoor, Davood Domiri Ganji, P. Valipour

Source: International Journal of Applied and Computational Mathematics. 3:1689-1701

Subject Terms: fluid flow, Nonlinear elasticity, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Keller box method (KBM), Vibrations in dynamical problems in solid mechanics, nonlinear vibration, 13. Climate action, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Numerical methods of time-dependent statistical mechanics, mathematical modelling, carbon nanotube, Statistical mechanics of nanostructures and nanoparticles

File Description: application/xml

Access URL: https://zbmath.org/6951647
https://doi.org/10.1007/s40819-016-0206-3
https://link.springer.com/article/10.1007/s40819-016-0206-3/fulltext.html
https://paperity.org/p/77390336/mathematical-modelling-of-carbon-nanotube-with-fluid-flow-using-keller-box-method-a
https://link.springer.com/article/10.1007/s40819-016-0206-3

An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows

Authors: Matthias Meinke, Lennart Schneiders, Claudia Günther, Wolfgang Schröder

Source: Journal of Computational Physics. 311:62-86

Subject Terms: conservation, immersed boundary, fluid-structure interaction, Runge-Kutta, cut cell, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), fully-resolved particle, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, sharp interface, adaptive mesh refinement, Compressible fluids and gas dynamics

File Description: application/xml

Access URL: https://zbmath.org/6660983
https://doi.org/10.1016/j.jcp.2016.01.026
http://www.aia.rwth-aachen.de/vlueb/staff/homes/84/publications/preprint_2016.pdf
http://ui.adsabs.harvard.edu/abs/2016JCoPh.311...62S/abstract
https://www.sciencedirect.com/science/article/pii/S0021999116000346
http://www.sciencedirect.com/science/article/pii/S0021999116000346
https://dblp.uni-trier.de/db/journals/jcphy/jcphy311.html#SchneidersGMS16
https://dl.acm.org/doi/abs/10.1016/j.jcp.2016.01.026

An immersed boundary method with direct forcing for the simulation of particulate flows

Authors: Markus Uhlmann

Source: Journal of Computational Physics. 209:448-476

Subject Terms: Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Computational Physics (physics.comp-ph), Physics - Computational Physics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: http://arxiv.org/pdf/1809.08170
http://arxiv.org/abs/1809.08170
https://www.infona.pl/resource/bwmeta1.element.elsevier-de6afc34-c6fb-39f1-991a-258a3d5ca5b9
https://dl.acm.org/doi/10.1016/j.jcp.2005.03.017
https://www.sciencedirect.com/science/article/pii/S0021999105001385
https://ui.adsabs.harvard.edu/abs/2005JCoPh.209..448U/abstract
https://arxiv.org/abs/1809.08170
https://arxiv.org/pdf/1809.08170.pdf

Finite volume method for simulation of extrusion processes

Authors: Bašić, H., Demirdžić, I., Muzaferija, S.

Source: International Journal for Numerical Methods in Engineering. 62:475-494

Subject Terms: Thermal effects in solid mechanics, Large-strain, rate-dependent theories of plasticity, 0203 mechanical engineering, Finite volume methods applied to problems in solid mechanics, friction, plastic flow, 02 engineering and technology, 0210 nano-technology

File Description: application/xml

Access URL: https://zbmath.org/2236513
https://doi.org/10.1002/nme.1168
https://ui.adsabs.harvard.edu/abs/2005IJNME..62..475B/abstract
https://onlinelibrary.wiley.com/doi/10.1002/nme.1168

Stress-induced phase-transition front propagation in thermoelastic solids

Authors: Gérard A. Maugin, Arkadi Berezovski

Source: European Journal of Mechanics - A/Solids. 24:1-21

Subject Terms: Thermal effects in solid mechanics, martensitic phase transitions, 0203 mechanical engineering, Dynamics of phase boundaries in solids, Finite volume methods applied to problems in solid mechanics, 02 engineering and technology, 0210 nano-technology, finite volume numerical scheme, non-equilibrium jump relations

File Description: application/xml

Access URL: http://www.cs.ioc.ee/~berez/texts/24.ejms-05.pdf
https://www.sciencedirect.com/science/article/pii/S0997753804001111
http://ui.adsabs.harvard.edu/abs/2005EJMS...24....1B/abstract
http://www.cs.ioc.ee/~berez/texts/24.ejms-05.pdf

Dynamic extension of a compressible nonlinearly elastic membrane tube

Authors: Erbay, Hüsnü Ata, Tüzel, Vasfiye Hande

Source: IMA Journal of Applied Mathematics. 70:25-38

Subject Terms: Blatz-Ko material, Mathematical models, Wave propagation, Membranes, Hyperelasticity, Nonlinear elasticity, 02 engineering and technology, Godunov finite volume method, 01 natural sciences, Deformation, Elasticity, Compressible, strain-energy function, 0203 mechanical engineering, Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, Numerical methods, Membrane tubes, Blatz-Ko model

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2208305
https://doi.org/10.1093/imamat/hxh061
https://academic.oup.com/imamat/article/70/1/25/626083
http://ui.adsabs.harvard.edu/abs/2005JApMa..70...25E/abstract
https://acikerisim.isikun.edu.tr/xmlui/handle/11729/188?show=full
https://hdl.handle.net/11729/188

Adaptivity for finite volume on unstructured triangular meshes: a study of thermal injury in teeth

Authors: Leandro S. Oliveira, Marcio Arêdes Martins, Ramon Molina Valle

Source: International Journal for Numerical Methods in Engineering. 61:1625-1643

Subject Terms: 03 medical and health sciences, Thermal effects in solid mechanics, convective heating, 0302 clinical medicine, Finite volume methods applied to problems in solid mechanics, Biomechanics, unstructured triangular meshes, Biomechanical solid mechanics, adaptive refinement, dental laser treatment

File Description: application/xml

Access URL: https://zbmath.org/2216622
https://doi.org/10.1002/nme.1160
https://www.onlinelibrary.wiley.com/doi/10.1002/nme.1160
http://ui.adsabs.harvard.edu/abs/2004IJNME..61.1625M/abstract

A toolkit for numerical simulation of PDEs. II. Solving generic multiphysics problems: A toolkit for numerical simulation of PDEs. II: Solving generic multiphysics problems

Authors: Carl Ollivier-Gooch, Charles Boivin

Source: Computer Methods in Applied Mechanics and Engineering. 193:3891-3918

Subject Terms: Other numerical methods (thermodynamics), Generic solver, Numerical solution of partial differential equations, Finite volume methods applied to problems in solid mechanics, 0211 other engineering and technologies, Finite volume methods applied to problems in fluid mechanics, 02 engineering and technology, Finite-volume method, Multiphysics problems

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0045782504001501
http://ui.adsabs.harvard.edu/abs/2004CMAME.193.3891B/abstract

A cell vertex and cell centred finite volume method for plate bending analysis

Authors: N. Fallah

Source: Computer Methods in Applied Mechanics and Engineering. 193:3457-3470

Subject Terms: 0203 mechanical engineering, Finite volume methods applied to problems in solid mechanics, Thick plate, Thin plate, 02 engineering and technology, Plates, 0201 civil engineering

File Description: application/xml

Access URL: https://zbmath.org/2191044
https://doi.org/10.1016/j.cma.2003.08.005
http://www.sciencedirect.com/science/article/pii/S0045782503005905
https://ui.adsabs.harvard.edu/abs/2004CMAME.193.3457F/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782503005905

An Efficient Multigrid Solver based on Distributive Smoothing for Poroelasticity Equations: An efficient multigrid solver based on distributive smoothing for poroelasticity equations

Authors: Cornelis W. Oosterlee, Francisco J. Lisbona, Francisco J. Gaspar, R. Wien

Source: Computing. 73:99-119

Subject Terms: Multigrid methods, domain decomposition for boundary value problems involving PDEs, staggered discretization, Finite volume methods applied to problems in solid mechanics, iterative methods, Stability and convergence of numerical methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), local Fourier analysis

File Description: application/xml

Access URL: http://ta.twi.tudelft.nl/mf/users/oosterle/oosterlee/poroel.pdf
https://zbmath.org/2113796
https://doi.org/10.1007/s00607-004-0078-y
http://ta.twi.tudelft.nl/mf/users/oosterlee/oosterlee/comp1.pdf
https://link.springer.com/article/10.1007/s00607-004-0078-y
https://link.springer.com/content/pdf/10.1007%2Fs00607-004-0078-y.pdf
https://dblp.uni-trier.de/db/journals/computing/computing73.html#WienandsGLO04
https://rd.springer.com/article/10.1007/s00607-004-0078-y
https://core.ac.uk/display/23440543

An assessment of the average nodal volume formulation for the analysis of nearly incompressible solids under finite strains

Authors: J. L. de la Cuesta Padilla, E.A. de Souza Neto, F.M. Andrade Pires

Source: Communications in Numerical Methods in Engineering. 20:569-583

Subject Terms: Finite volume methods applied to problems in solid mechanics, volumetric locking, finite strains, 0211 other engineering and technologies, 02 engineering and technology, incompressibility, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2081868
https://doi.org/10.1002/cnm.697
https://www.onlinelibrary.wiley.com/doi/abs/10.1002/cnm.697

Internal stress calculation in 2D time domain BEM for wave propagation in anisotropic media

Authors: Liu Hai-xiao, Zhang Chuhan

Source: Communications in Numerical Methods in Engineering. 19:637-643

Subject Terms: 0203 mechanical engineering, Finite volume methods applied to problems in solid mechanics, time domain, boundary element method (BEM), wave propagation, 02 engineering and technology, anisotropic media, numerical differentiation, 01 natural sciences, internal stress calculation, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: https://zbmath.org/1972235
https://doi.org/10.1002/cnm.617
http://onlinelibrary.wiley.com/doi/10.1002/cnm.617/full
https://www.onlinelibrary.wiley.com/doi/10.1002/cnm.617

A toolkit for numerical simulation of PDEs: I. Fundamentals of generic finite-volume simulation: A toolkit for numerical simulation of PDEs. I: Fundamentals of generic finite volume simulation.

Authors: Carl Ollivier-Gooch

Source: Computer Methods in Applied Mechanics and Engineering. 192:1147-1175

Subject Terms: Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, 0211 other engineering and technologies, generic solver, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, 02 engineering and technology, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1963660
https://doi.org/10.1016/s0045-7825(02)00602-3
http://www.sciencedirect.com/science/article/pii/S0045782502006023
https://www.sciencedirect.com/science/article/pii/S0045782502006023
https://ui.adsabs.harvard.edu/abs/2003CMAME.192.1147O/abstract

Dynamic solid mechanics using finite volume methods

Authors: A.K. Slone, Mark Cross, Chris Bailey

Source: Applied Mathematical Modelling. 27:69-87

Subject Terms: Vibrations in dynamical problems in solid mechanics, Finite volume methods applied to problems in solid mechanics, Modelling and Simulation, Applied Mathematics, 0103 physical sciences, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2077353
https://doi.org/10.1016/s0307-904x(02)00060-4
https://www.sciencedirect.com/science/article/pii/S0307904X02000604
https://cronfa.swan.ac.uk/Record/cronfa1977
http://www.sciencedirect.com/science/article/pii/S0307904X02000604
https://www.sciencedirect.com/science/article/abs/pii/S0307904X02000604
http://gala.gre.ac.uk/id/eprint/616
https://cronfa.swan.ac.uk/Record/cronfa1977