Name
Abstract | ||
|---|---|---|
This work develops novel time integration methods for the compressible Euler equations in the Lagrangian frame that are of arbitrary high order and exactly preserve the mass, momentum, and total energy of the system. The equations are considered in nonconservative form, that is, common for staggered grid hydrodynamics (SGH) methods; namely, the evolved quantities are mass, momentum, and internal energy. A general family of time integration schemes is formulated, and practical pairs for orders three and four are derived. Numerical results on standard hydrodynamics benchmarks confirm the high-order convergence on smooth problems and the exact numerical preservation of all physically conserved quantities. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1314495 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | DocType | Volume |
Lagrangian hydrodynamics, high-order time integration, energy conservation, IMEX Runge-Kutta pairs | Journal | 43 |
Issue | ISSN | Citations |
1 | 1064-8275 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adrian Sandu | 1 | 0 | 0.34 |
| Vladimir Tomov | 2 | 1 | 1.03 |
| Lenka Cervena | 3 | 0 | 0.34 |
| Tzanio Kolev | 4 | 0 | 1.35 |