Name
Title | ||
|---|---|---|
Energy consistent discontinuous Galerkin methods for the Navier-Stokes-Korteweg system. |
Abstract | ||
|---|---|---|
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler-Korteweg and the Navier-Stokes-Korteweg systems. We show that the scheme for the Euler-Korteweg system is energy and mass conservative and that the scheme for the Navier-Stokes-Korteweg system is mass conservative and monotonically energy dissipative. In this case the dissipation is isolated to viscous effects, that is, there is no numerical dissipation. In this sense the methods are consistent with the energy dissipation of the continuous PDE systems. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1090/S0025-5718-2014-02792-0 | MATHEMATICS OF COMPUTATION |
Field | DocType | Volume |
Discontinuous Galerkin method,Monotonic function,Mathematical optimization,Dissipation,Mathematical analysis,Dissipative system,Finite element method,Viscosity,Mathematics | Journal | 83 |
Issue | ISSN | Citations |
289 | 0025-5718 | 6 |
PageRank | References | Authors |
0.61 | 3 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jan Giesselmann | 1 | 6 | 0.95 |
| Charalambos Makridakis | 2 | 253 | 48.36 |
| Tristan Pryer | 3 | 6 | 0.61 |