First-, second-, and third-order finite-volume schemes for diffusion
From MaRDI portal
Publication:348400
DOI10.1016/j.jcp.2013.09.024zbMath1349.65380OpenAlexW1991884688MaRDI QIDQ348400
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.09.024
Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (29)
Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system ⋮ A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics ⋮ A hyperbolic Poisson solver for wall distance computation on irregular triangular grids ⋮ Improved second-order hyperbolic residual-distribution scheme and its extension to third-order on arbitrary triangular grids ⋮ Very efficient high-order hyperbolic schemes for time-dependent advection-diffusion problems: third-, fourth-, and sixth-order ⋮ Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver ⋮ A flux correction for finite-volume discretizations: achieving second-order accuracy on arbitrary polyhedral grids ⋮ Hyperbolic cell-centered finite volume method for steady incompressible Navier-Stokes equations on unstructured grids ⋮ Hyperbolic advection-diffusion schemes for high-Reynolds-number boundary-layer problems ⋮ On hyperbolic method for diffusion with discontinuous coefficients ⋮ Effective high-order energy stable flux reconstruction methods for first-order hyperbolic linear and nonlinear systems ⋮ Accuracy-preserving source term quadrature for third-order edge-based discretization ⋮ An efficient quadratic interpolation scheme for a third-order cell-centered finite-volume method on tetrahedral grids ⋮ Dimensional scaling and numerical similarity in hyperbolic method for diffusion ⋮ Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids ⋮ High order locally one-dimensional methods for solving two-dimensional parabolic equations ⋮ First order hyperbolic approach for anisotropic diffusion equation ⋮ Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids ⋮ From hyperbolic diffusion scheme to gradient method: implicit Green-Gauss gradients for unstructured grids ⋮ Unnamed Item ⋮ Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system ⋮ Efficient high-order discontinuous Galerkin schemes with first-order hyperbolic advection-diffusion system approach ⋮ First, second, and third order finite-volume schemes for advection-diffusion ⋮ Accuracy-preserving boundary flux quadrature for finite-volume discretization on unstructured grids ⋮ MIN3P-HPC: a high-performance unstructured grid code for subsurface flow and reactive transport simulation ⋮ High-order upwind and non-oscillatory approach for steady state diffusion, advection-diffusion and application to magnetized electrons ⋮ New very high-order upwind multi-layer compact (MLC) schemes with spectral-like resolution for flow simulations ⋮ A hyperbolic Poisson solver for tetrahedral grids ⋮ Entropy consistent methods for the Navier-Stokes equations. A first-order systems approach
Cites Work
- Unnamed Item
- Mesh quality effects on the accuracy of CFD solutions on unstructured meshes
- A first-order system approach for diffusion equation. II: Unification of advection and diffusion
- An efficient correction method to obtain a formally third-order accurate flow solver for node-centered unstructured grids
- Divergence formulation of source term
- A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes
- Total variation diminishing Runge-Kutta schemes
This page was built for publication: First-, second-, and third-order finite-volume schemes for diffusion
