High-order accurate Lagrange-remap hydrodynamic schemes on staggered Cartesian grids

作者：Dakin Gautier^*; Jourdren Herve^*

来源：Comptes Rendus Mathematique, 2016, 354(2): 211-217.

DOI：10.1016/j.crma.2015.11.008

We consider a class of staggered grid schemes for solving the 1D Euler equations in internal energy formulation. The proposed schemes are applicable to arbitrary equations of state and high-order accurate in both space and time on smooth flows. Adding a discretization of the kinetic energy equation, a high-order kinetic energy synchronization procedure is introduced, preserving globally total energy and enabling proper shock capturing. Extension to nD Cartesian grids is done via C-type staggering and high-order dimensional splitting. Numerical results are provided up to 8th-order accuracy.

• 出版日期2016-2
• 单位中国地震局