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| Paper: |
Improved Time Integration for WENO Methods in Astrophysical Applications |
| Volume: |
488, 8th International Conference of Numerical Modeling of Space Plasma Flows (ASTRONUM 2013) |
| Page: |
243 |
| Authors: |
Kupka, F.; Grimm–Strele, H.; Happenhofer, N.; Higueras, I.; Koch, O.; Muthsam, H.J. |
| Abstract: |
Weighted essentially non-oscillatory methods are a powerful approach to discretize advection and pressure gradient terms in the hydrodynamical equations, since they yield higher effective resolution than traditional methods. But in some astrophysical problems, low Mach number flows have to be tackled or the flow may change from a low to a high Mach number flow, spatially or in time, and diffusion or radiative transfer can impose severe limitations on time steps allowed in explicit time integration methods. We provide a summary of new developments on semi-implicit time integration methods useful for astrophysical problems such as numerical simulations of stellar surfaces and envelopes, and the basic physical question of how to improve models of double–diffusive convection. We discuss several applications of these new methods. |
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