Paper Info
Title
Verification of an Entropy Dissipative QGD-Scheme
Abstract
An entropy dissipative spatial discretization has recently been constructed for the multidimensional gas dynamics equations based on their preliminary parabolic quasi-gasdynamic (QGD) regularization. In this paper, an explicit finite-difference scheme with such a discretization is verified on several versions of the 1D Riemann problem, both well-known in the literature and new. The scheme is compared with the previously constructed QGD-schemes and its merits are noticed. Practical convergence rates in the mesh L-1-norm are computed. We also analyze the practical relevance in the nonlinear statement as the Mach number grows of recently derived necessary conditions for L-2-dissipativity of the Cauchy problem for a linearized QGD-scheme.
Year
DOI
Venue
2019
10.3846/mma.2019.013
MATHEMATICAL MODELLING AND ANALYSIS
Keywords
DocType
Volume
1D gas dynamics equations,entropy dissipative spatial discretization,explicit finite-difference scheme,verification on the Riemann problem,practical stability analysis
Journal
24
Issue
ISSN
Citations 
2
1392-6292
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
A.A. Zlotnik135.79
Timofey Lomonosov200.34