Search Results - finite volume methods for initial value and initial-boundary value problems involving des

A Higher-Order Chimera Method for Finite Volume Schemes: A higher-order Chimera method for finite volume schemes

Authors: Ramírez, Luis Nogueira, Xesús Ouro, Pablo et al.

Contributors: Ramírez, Luis Nogueira, Xesús Ouro, Pablo et al.

Source: Ramírez, L, Nogueira, X, Ouro, P, Navarrina, F, Khelladi, S & Colominas, I 2018, 'A Higher-Order Chimera Method for Finite Volume Schemes', Archives of Computational Methods in Engineering, vol. 25, no. 3, pp. 691-706. https://doi.org/10.1007/s11831-017-9213-8

Subject Terms: High-order methods, Sciences de l'ingénieur: Mécanique: Mécanique des fluides, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Moving Least Squares, 0103 physical sciences, [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Finite volume methods applied to problems in fluid mechanics, Chimera overset grids, Navier-Stokes equations, 0101 mathematics, Euler equations, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02470959/file/DYNFLUID_ACME_2018_KHELLADI.pdf
https://hal.archives-ouvertes.fr/hal-02470959
https://sam.ensam.eu/handle/10985/18046
https://hal.archives-ouvertes.fr/hal-02470959/document
http://orca.cf.ac.uk/id/eprint/104324
https://link.springer.com/article/10.1007/s11831-017-9213-8
https://www.research.manchester.ac.uk/portal/en/publications/a-higherorder-chimera-method-for-finite-volume-schemes(d2d66423-e297-4d36-87a5-eada8efe55bd).html
http://hdl.handle.net/10985/18046

New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes

Authors: Ramírez, Luis Foulquié, Charles Nogueira, Xesús et al.

Contributors: Ramírez, Luis Foulquié, Charles Nogueira, Xesús et al.

Source: Computers & Fluids. 118:114-130

Subject Terms: Sciences de l'ingénieur: Mécanique: Mécanique des fluides, Navier-Stokes equations for incompressible viscous fluids, [PHYS.MECA.BIOM] Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph], [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Finite volume methods applied to problems in fluid mechanics, Sliding mesh, 01 natural sciences, sliding mesh, Moving least-squares, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Unstructured grid, High-order finite volume scheme, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, unstructured grid, Compressible fluids and gas dynamics, moving least-squares, high-order finite volume scheme

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02444683/file/DYNFLUID_CF_2015_KHELLADI.pdf
https://hal.archives-ouvertes.fr/hal-01459725
https://www.sciencedirect.com/science/article/pii/S0045793015001917
http://hdl.handle.net/10985/17818

An Immersed Boundary Method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma: An immersed boundary method for pressure-based compressible solvers with applications to free-convection flows, acoustic wave propagation and thermal plasma

Authors: Coseru, Sergiu Tanguy, Sébastien Freton, Pierre et al.

Contributors: Coseru, Sergiu Tanguy, Sébastien Freton, Pierre et al.

Source: Journal of Computational Physics. 524:113714

Subject Terms: [PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Thermal plasma, Finite difference methods applied to problems in fluid mechanics

File Description: application/xml

Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts

Authors: Deng, Xi Xie, Bin Loubère, R. et al.

Contributors: Deng, Xi Xie, Bin Loubère, R. et al.

Source: Computers & Fluids. 171:1-14

Subject Terms: Reaction effects in flows, [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment, discontinuities, Gas dynamics (general theory), [SPI.FLUID] Engineering Sciences [physics]/Reactive fluid environment, Finite volume methods applied to problems in fluid mechanics, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Euler equations, 01 natural sciences, boundary variation diminishing, Finite volume methods for initial value and initial-boundary value problems involving PDEs, stiff detonation waves, THINC scheme, 0103 physical sciences, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-01791898/file/hthincBVD_final.pdf
https://hal.archives-ouvertes.fr/hal-01791898
https://www.sciencedirect.com/science/article/abs/pii/S0045793018302585
https://hal.archives-ouvertes.fr/hal-01791898/document
https://hal.science/hal-01791898v1
https://doi.org/10.1016/j.compfluid.2018.05.015
https://hal.science/hal-01791898v1/document

A SURVEY AND COMPARATIVE ANALYSIS OF DIFFERENT APPROACHES TO FUZZY DIFFERENTIAL EQUATIONS MODELING DYNAMICS WITH UNCERTAIN PARAMETERS OF DETERMINISTIC CHARACTER.

Authors: GASILOV, NIZAMI A. AMRAHOV, ŞAHIN EMRAH

Source: Kybernetika; 2025, Vol. 61 Issue 3, p289-347, 59p

Subject Terms: INITIAL value problems, BOUNDARY value problems, MATHEMATICAL models, FUZZY systems, PROBLEM solving, UNCERTAINTY (Information theory), FUZZY mathematics

A conservative multirate explicit time integration method for computation of compressible flows

Authors: Ramzi Messahel Gilles Grondin Jérémie Gressier et al.

Contributors: Ramzi Messahel Gilles Grondin Jérémie Gressier et al.

Source: Computers & Fluids. 229:105102

Subject Terms: Mécanique des fluides, Multirate explicit time integration, Finite volume methods applied to problems in fluid mechanics, 01 natural sciences, multirate explicit time integration, high performance computing, Finite volume methods for initial value and initial-boundary value problems involving PDEs, spectral-differences, direct numerical simulation, High performance computing, Compressible fluids and gas dynamics, 0101 mathematics, Finite volume, finite volume, Spectral-differences, Direct numerical simulation

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/7426338
https://doi.org/10.1016/j.compfluid.2021.105102
https://www.sciencedirect.com/science/article/pii/S004579302100253X
https://oatao.univ-toulouse.fr/28176/
https://oatao.univ-toulouse.fr/28176/

Internal symmetry to the rescue: well-posed 1 + 1 evolution of self-interacting vector fields.

Authors: Gómez, Gabriel Rodríguez, José F.

Source: European Physical Journal C -- Particles & Fields; Aug2025, Vol. 85 Issue 8, p1-18, 18p

Subject Terms: VECTOR fields, INITIAL value problems, NONABELIAN groups, MAGNETIC monopoles, NUMERICAL calculations, GAUGE symmetries, DYNAMIC stability

A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction

Authors: Michel-Dansac, Victor Berthon, Christophe Clain, Stéphane et al.

Contributors: Michel-Dansac, Victor Berthon, Christophe Clain, Stéphane et al.

Source: Computers & Fluids. 230:105152

Subject Terms: high-order schemes, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, shallow water equations, moving steady states, 65M12, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), 2010 MSC: 65M08, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], 01 natural sciences, Finite volume methods for initial value and initial-boundary value problems involving PDEs, well-balanced schemes, Manning friction, Godunov-type schemes, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Mathematics - Numerical Analysis, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], 65M08, 65M12

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02536791v2/file/Michel-Dansac_Berthon_Clain_Foucher.pdf
http://arxiv.org/abs/2004.04484
https://zbmath.org/7426366
https://doi.org/10.1016/j.compfluid.2021.105152
https://hal.science/hal-02536791v2
https://hal.science/hal-02536791v2/document
https://doi.org/10.1016/j.compfluid.2021.105152
https://dblp.uni-trier.de/db/journals/corr/corr2004.html#abs-2004-04484
https://www.sciencedirect.com/science/article/pii/S0045793021002851
https://hal.archives-ouvertes.fr/hal-02536791/document
https://hal.archives-ouvertes.fr/hal-02536791v2
https://arxiv.org/abs/2004.04484
https://hal.univ-antilles.fr/INRIA/hal-02536791v2

ANALYSIS OF A MULTISCALE INTERFACE PROBLEM BASED ON THE COUPLING OF PARTIAL AND ORDINARY DIFFERENTIAL EQUATIONS TO MODEL TISSUE PERFUSION.

Authors: BOCIU, LORENA BROUSSARD, MATTHEW GUIDOBONI, GIOVANNA et al.

Source: Multiscale Modeling & Simulation; 2025, Vol. 23 Issue 1, p1-24, 24p

Subject Terms: INITIAL value problems, ORDINARY differential equations, BOUNDARY value problems, PARTIAL differential equations, BLOOD circulation

Computational optimization in solving the geodetic boundary value problems.

Authors: Macák, Marek Čunderlík, Róbert Mikula, Karol et al.

Source: Discrete & Continuous Dynamical Systems - Series S; Mar2021, Vol. 14 Issue 3, p987-999, 13p

Subject Terms: BOUNDARY value problems, FINITE volume method, PARTIAL differential equations, DOMAIN decomposition methods, GEODESICS

Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).

Authors: Le Potier, Christophe

Subject Terms: gradient, highly anisotropic diffusion operators, algorithm, Finite difference methods for initial value and initial-boundary value problems involving PDEs, unstructured meshes, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, discrete maximum principle, finite volume method, Initial value problems for second-order parabolic equations, parabolic problems

File Description: application/xml

Access URL: https://zbmath.org/2242309

Schémas volumes finis sur des triangles couplés avec une analyse multirésolution

Authors: Kaber, Sidi Mahmoud Postel, Marie

Subject Terms: hyperbolic conservation law, multiresolution, finite volume scheme, algorithm, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, numerical experiments

File Description: application/xml

Access URL: https://zbmath.org/1334169

Convergence of the finite volume method for Friedrichs' systems

Authors: Vila, Jean-Paul Villedieu, Philippe

Subject Terms: Error bounds for initial value and initial-boundary value problems involving PDEs, convergence, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, finite volume method, error estimate, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Friedrichs' systems

File Description: application/xml

Access URL: https://zbmath.org/1121549

DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS.

Authors: ANDREIANOV, B. BENDAHMANE, M. KARLSEN, K. H.

Source: Journal of Hyperbolic Differential Equations; Mar2010, Vol. 7 Issue 1, p1-67, 67p, 3 Diagrams

Subject Terms: DIFFERENTIAL equations, BOUNDARY value problems, ENTROPY, FINITE volume method, NUMERICAL analysis

Convergence of a finite volume time-explicit scheme for symmetric linear hyperbolic systems on bounded domains

Authors: Coudière, Yves Vila, Jean-Paul Villedieu, Philippe

Subject Terms: Error bounds for initial value and initial-boundary value problems involving PDEs, convergence, symmetric linear hyperbolic systems, unstructured mesh, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, error estimate, Initial value problems for first-order hyperbolic systems, stability, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, finite volume time-explicit scheme

File Description: application/xml

Access URL: https://zbmath.org/1523679

A spacetime formulation for unsteady aerodynamics with geometry and topology changes.

Authors: Flamarique Ederra, I. Rendall, T. C. S. Gaitonde, A. L. et al.

Source: Aeronautical Journal; Oct2022, Vol. 126 Issue 1304, p1771-1800, 30p

Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire. (Convergence of an upwind uncentered scheme on a triangular mesh for a nonlinear hyperbolic equation)

Authors: Champier, S. Gallouet, T.

Subject Terms: convergence, triangular mesh, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Euler scheme, finite volume method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, nonlinear hyperbolic equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, First-order nonlinear hyperbolic equations, upwind uncentered scheme

File Description: application/xml

Access URL: https://zbmath.org/166098

A discrete domain decomposition algorithm for the one dimensional wave equation

Authors: Gander, Martin J. Halpern, Laurence

Subject Terms: domain decomposition, convergence, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Schwarz algorithm, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Wave equation, wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, nonconforming finite volume discretization

File Description: application/xml

Access URL: https://zbmath.org/1697753

Schéma nonlinéaire pour l'approximation numérique d'un système hyperbolique non conservatif. (Nonlinear scheme to approximate nonconservative hyperbolic system)

Authors: Berthon, Christophe

Subject Terms: KdV equations (Korteweg-de Vries equations), consistency, Hyperbolic conservation laws, diffusion tensor, Finite difference methods for initial value and initial-boundary value problems involving PDEs, bifluid flow, discontinuous shock wave solutions, finite volume method, conservation laws, nonconservative hyperbolic system, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Riemann problem, Burgers equation

File Description: application/xml

Access URL: https://zbmath.org/1921117

Entropy inequalities for a relaxation scheme

Authors: Berthon, Christophe

Subject Terms: Cauchy problem, finite differences, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, considering relaxation schemes, Gas dynamics (general theory), finite volume method, Euler equations, discrete entropy inequalities, singular perturbation

File Description: application/xml

Access URL: https://zbmath.org/2136407