A fully discrete ALE method over untwisted time-space control volumes

作者：Qi, Jin; Li, Jiequan^*

来源：International Journal for Numerical Methods in Fluids, 2017, 83(8): 625-641.

DOI：10.1002/fld.4283

• 2D Euler equations
• remapping-free ALE method
• generalized Riemann problem solver
• Helmholtz theorem
• untwisted time-space control volume

In this paper, a fully discrete high-resolution arbitrary Lagrangian-Eulerian (ALE) method is developed over untwisted time-space control volumes. In the framework of the finite volume method, 2D Euler equations are discretized over untwisted moving control volumes, and the resulting numerical flux is computed using the generalized Riemann problem solver. Then, the fluid flows between meshes at two successive time steps can be updated without a remapping process in the classic ALE method. This remapping-free ALE method directly couples the mesh motion into a physical variable update to reflect the temporal evolution in the whole process. An untwisted moving mesh is generated in terms of the vorticity-free part of the fluid velocity according to the Helmholtz theorem. Some typical numerical tests show the competitive performance of the current method.

• 出版日期2017-3-20
• 单位北京应用物理与计算数学研究所; 北京师范大学