Name
Title | ||
|---|---|---|
Entropy stability and well-balancedness of space-time DG for the shallow water equations with bottom topography. |
Abstract | ||
|---|---|---|
We describe a shock-capturing streamline diffusion space-time discontinuous Galerkin (DG) method to discretize the shallow water equations with variable bottom topography. This method, based on the entropy variables as degrees of freedom, is shown to be energy stable as well as well-balanced with respect to the lake at rest steady state. We present numerical experiments illustrating the numerical method. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.3934/nhm.2016.11.145 | NETWORKS AND HETEROGENEOUS MEDIA |
Keywords | Field | DocType |
Well-balancedness,entropy stability,space-time DG,shallow water equations,bottom topography | Discontinuous Galerkin method,Space time,Discretization,Mathematical analysis,Entropy stability,Streamline diffusion,Steady state,Numerical analysis,Mathematics,Shallow water equations | Journal |
Volume | Issue | ISSN |
11 | SP1 | 1556-1801 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Hiltebrand | 1 | 14 | 1.18 |
| Siddhartha Mishra | 2 | 170 | 21.36 |