A combined finite volume–nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems
We propose and analyze a numerical scheme for nonlinear degenerate parabolic
convection–diffusion–reaction equations in two or three space dimensions. We discretize …
convection–diffusion–reaction equations in two or three space dimensions. We discretize …
EBR-WENO scheme for solving gas dynamics problems with discontinuities on unstructured meshes
P Bakhvalov, T Kozubskaya - Computers & Fluids, 2017 - Elsevier
Abstract We develop the Edge-Based Reconstruction WENO scheme for solving Euler
equations on unstructured meshes. It belongs to the class of edge-based schemes with …
equations on unstructured meshes. It belongs to the class of edge-based schemes with …
Mixed-element-volume MUSCL methods with weak viscosity for steady and unsteady flow calculations
C Debiez, A Dervieux - Computers & fluids, 2000 - Elsevier
One of the most desirable approximation property in compressible flow simulation is the
avoidance of superfluous numerical spurious diffusion. We propose to reach this goal on …
avoidance of superfluous numerical spurious diffusion. We propose to reach this goal on …
Method of averaged element splittings for diffusion terms discretization in vertex-centered framework
PA Bakhvalov, MD Surnachev - Journal of Computational Physics, 2022 - Elsevier
Method of averaged element splittings is proposed for the discretization of the diffusion
terms of the Navier–Stokes equations on mixed-element unstructured meshes. It is …
terms of the Navier–Stokes equations on mixed-element unstructured meshes. It is …
Hybrid grid generation for two-dimensional high-Reynolds flows
D Dussin, M Fossati, A Guardone, L Vigevano - Computers & fluids, 2009 - Elsevier
An hybrid mesh generation algorithm for two-dimensional viscous flows at high-Reynolds
number is presented. An advancing-front method is used close to solid surfaces and in the …
number is presented. An advancing-front method is used close to solid surfaces and in the …
[图书][B] Computational fluid dynamics
F Magoulès - 2011 - books.google.com
Exploring new variations of classical methods as well as recent approaches appearing in
the field, Computational Fluid Dynamics demonstrates the extensive use of numerical …
the field, Computational Fluid Dynamics demonstrates the extensive use of numerical …
Construction of edge-based 1-exact schemes for solving the Euler equations on hybrid unstructured meshes
PA Bakhvalov, TK Kozubskaya - Computational Mathematics and …, 2017 - Springer
In this paper, 1-exact vertex-centered finite-volume schemes with an edge-based
approximation of fluxes are constructed for numerically solving hyperbolic problems on …
approximation of fluxes are constructed for numerically solving hyperbolic problems on …
Positivity statements for a Mixed-Element-Volume scheme on fixed and moving grids
PH Cournède, B Koobus, A Dervieux - European Journal of …, 2006 - Taylor & Francis
This paper considers a class of second-order accurate vertex centered mixed finite element
finite-volume MUSCL schemes. These schemes apply to unstructured triangulations and …
finite-volume MUSCL schemes. These schemes apply to unstructured triangulations and …
Vertex-Centered Mixed Finite Element–Finite Volume scheme for 2D anisotropic hybrid mesh adaptation
CT Morisco, LM Tenkès, F Alauzet - Computer Methods in Applied …, 2024 - Elsevier
The scope of this paper is to propose an appropriate numerical strategy to extend the Mixed
Finite Element–Finite Volume (MEV) scheme to adapted meshes composed of both …
Finite Element–Finite Volume (MEV) scheme to adapted meshes composed of both …
EBR schemes with curvilinear reconstructions for hybrid meshes
P Bakhvalov, T Kozubskaya, P Rodionov - Computers & Fluids, 2022 - Elsevier
In this paper, the vertex-centered EBR schemes, originally developed for solving the Euler
and Navier–Stokes equations on unstructured tetrahedral meshes, are generalized to …
and Navier–Stokes equations on unstructured tetrahedral meshes, are generalized to …