Upwind finite-volume method with a triangular mesh for conservation laws (Q686606)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Upwind finite-volume method with a triangular mesh for conservation laws |
scientific article; zbMATH DE number 428556
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Upwind finite-volume method with a triangular mesh for conservation laws |
scientific article; zbMATH DE number 428556 |
Statements
Upwind finite-volume method with a triangular mesh for conservation laws (English)
0 references
13 October 1993
0 references
A new upwind scheme for a finite-volume solution of hyperbolic conservation laws on triangular meshes is presented and analyzed. Some simple local limiters are constructed to enforce this scheme to satisfy a maximum principle. The introduced scheme is used for solving scalar conservation laws and Euler equations. Finally, a few numerical experiments are presented. The numerical results show that the order of convergence of the scheme varies from 1.6 to 1.9 in \(L^ 1\).
0 references
upwind scheme
0 references
finite-volume solution
0 references
hyperbolic conservation laws
0 references
maximum principle
0 references
Euler equations
0 references
numerical experiments
0 references
order of convergence
0 references
0.9318298
0 references
0 references
0.9211372
0 references
0.90474993
0 references
0.9020647
0 references
0.90075135
0 references
0.90035963
0 references
0.89952886
0 references
