Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion
type: Item
instance of: scholarly article
title: Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion
zbMATH Open document ID: 0845.76078
author: Luigi Martinelli
author: Kun Xue
author: Antony Jameson
published in: Journal of Computational Physics
publication date: 1995-11-22T00:00:00Z
review text: The authors found that the gas-kinetic discretization can be explained in terms of standard central difference and upwind schemes. Artificial viscosity concepts are reviewed and linked to the grid size and to the physical length scale of the discontinuity. Also, a new three-dimensional gas-kinetic scheme for the Navier-Stokes equations, whose solution satisfies the entropy condition, is presented. Two limiting cases of the scheme are discussed. The first one is the one-step Lax-Wendroff scheme, and the second one is the kinetic flux-vector splitting scheme. A new relaxation scheme for steady state calculations is also formulated and implemented in the frame of multigrid time stepping technique of Jameson. When applied to the Euler equations, the proposed method yields high accuracy and fast convergence to the steady state.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 819430
zbMATH Keywords: central difference and upwind schemes
zbMATH Keywords: grid size
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: one-step Lax-Wendroff scheme
zbMATH Keywords: relaxation scheme
zbMATH Keywords: multigrid time stepping technique
zbMATH Keywords: Euler equations
reviewed by: Agneta M. Balint
MaRDI profile type: Publication
full work available at URL: jcph.1995.1148
OpenAlex ID: W2041264726
DOI: 10.1006/JCPH.1995.1148
description: scientific article; zbMATH DE number 819430