Parallel Finite Volume Computation on General Meshes

DOI10.1007/978-3-030-47232-0zbMath1437.65003OpenAlexW3037527349MaRDI QIDQ5114465

Kirill M. Terekhov, Yuri V. Vassilevski, Kirill D. Nikitin, I. V. Kapyrin

Publication date: 23 June 2020

Full work available at URL: https://doi.org/10.1007/978-3-030-47232-0

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computational methods for problems pertaining to geophysics (86-08) Applications to the sciences (65Z05) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Computational methods for problems pertaining to biology (92-08) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (21)

General finite-volume framework for saddle-point problems of various physics ⋮ A nonlinear correction scheme for the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ Nonlinear finite volume method for the interface advection-compression problem on unstructured adaptive meshes ⋮ Presure boundary conditions in the collocated finite-volume method for the steady Navier-Stokes equations ⋮ Finite volume method for coupled subsurface flow problems. II: Poroelasticity ⋮ First-order continuation method for steady-state variably saturated groundwater flow modeling ⋮ How material and geometrical nonlinearity influences diastolic function of an idealized aortic valve ⋮ An interpolation-free cell-centered discretization of the heterogeneous and anisotropic diffusion problems on polygonal meshes ⋮ Explaining breakthrough behaviour in shale rock: influence of capillary effects and geomechanics ⋮ A monotone finite volume element scheme for diffusion equations on arbitrary polygonal grids ⋮ Two methods for the implicit integration of stiff reaction systems ⋮ Particle tracking for face-based flux data on general polyhedral grids with applications to groundwater flow modelling ⋮ CarNum: parallel numerical framework for computational cardiac electromechanics ⋮ An Interpolation-Free Cell-Centered Finite Volume Scheme for 3D Anisotropic Convection-Diffusion Equations on Arbitrary Polyhedral Meshes ⋮ Projection-grid schemes on irregular grids for a parabolic equation ⋮ Multi-physics flux coupling for hydraulic fracturing modelling within INMOST platform ⋮ Comparison of nonlinear solvers within continuation method for steady-state variably saturated groundwater flow modelling ⋮ The suite of Taylor-Galerkin class schemes for ice transport on sphere implemented by the INMOST package ⋮ An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes ⋮ Computational mimicking of surgical leaflet suturing for virtual aortic valve neocuspidization ⋮ Fully-Implicit Collocated Finite-Volume Method for the Unsteady Incompressible Navier–Stokes Problem

Uses Software

• Gmsh
• SuperLU
• UMFPACK
• DUNE
• PETSc
• Trilinos
• METIS
• COMSOL
• FLUENT
• OpenFOAM
• ParMETIS
• COOLFluiD
• STAR-CCM+
• SEAWAT
• FEFLOW
• MODFLOW
• OOFEM
• Elmer
• AS 136
• DuMuX
• SU2
• GeRa
• INMOST
• PhreeqcRM

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