Entropy controlled adaptive finite element simulations for compressible gas flow (Q1917121)
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: Entropy controlled adaptive finite element simulations for compressible gas flow |
scientific article; zbMATH DE number 896672
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Entropy controlled adaptive finite element simulations for compressible gas flow |
scientific article; zbMATH DE number 896672 |
Statements
Entropy controlled adaptive finite element simulations for compressible gas flow (English)
0 references
6 January 1997
0 references
The principal idea consists in using the entropy balance equation in its discrete form as a rationale for controling an optimal amount of artificial dissipation in finite element compressible gas simulations. The entropy control can be reinterpreted as a nonlinear stability estimate in terms of the so-called modified entropy function. The idea has been practically verified using the Taylor-Galerkin method combined with an artificial viscosity term, in context of \(h\)-adaptive linear finite elements.
0 references
entropy balance equation in discrete form
0 references
artificial dissipation
0 references
nonlinear stability estimate
0 references
modified entropy function
0 references
Taylor-Galerkin method
0 references
artificial viscosity
0 references
\(h\)-adaptive linear finite elements
0 references
