Discretisation of diffusive fluxes on hybrid grids

DOI10.1016/j.jcp.2009.10.037zbMath1329.76213OpenAlexW2081287852MaRDI QIDQ846574

V. Auffray, Guillaume Puigt, Jens-Dominik Müller

Publication date: 9 February 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2009.10.037

zbMATH Keywords

stabilityfinite volumehybrid meshgradient reconstructionconsistence

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

Evaluation of diffusive flux across faces of arbitrary shaped finite volume cells ⋮ Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes ⋮ Numerical analysis of a high-order unstructured overset grid method for compressible LES of turbomachinery ⋮ Robust and accurate viscous discretization via upwind scheme. I: Basic principle ⋮ Vertex-centered mixed finite element-finite volume scheme for 2D anisotropic hybrid mesh adaptation ⋮ The elastoplast discontinuous Galerkin (EDG) method for the Navier-Stokes equations ⋮ An axisymmetric unstructured finite volume method applied to the numerical modeling of an atmospheric pressure gas discharge ⋮ Euler – Navier–Stokes Coupling for Aeroacoustics Problems

Uses Software

• AVBP
• NSC2KE

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A cell-centered diffusion scheme on two-dimensional unstructured meshes
• A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
• An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations
• Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
• A class of implicit upwind schemes for Euler simulations with unstructured meshes
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Recent improvements in Galerkin and upwind Euler solvers and application to 3-D transonic flow in aircraft design
• Cell vertex algorithms for the compressible Navier-Stokes equations
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS
• TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
• Complex turbulent compressible flow computation using a two-layer approach
• Upwind finite-volume Navier-Stokes computations on unstructured triangular meshes
• A Unified Multigrid Solver for the Navier-Stokes Equations on Mixed Element Meshes
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Finite volume approximation of elliptic problems and convergence of an approximate gradient

This page was built for publication: Discretisation of diffusive fluxes on hybrid grids