|
|||||
|
|
A note on the stability of cut cells and cell merging |
|
| Institution: | 1. Department of Computational and Applied Mathematics, Rice University, 6100 Main St, Houston, TX, 77005, United States;2. Department of Mathematics, Virginia Tech, 225 Stanger Street, Blacksburg, VA 24061-0123, United States;1. Department of Computational and Applied Mathematics, Rice University, 6100 Main St, Houston, TX, 77005, United States of America;2. Naval Postgraduate School, Department of Applied Mathematics, 833 Dyer Road; Building 232, SP-262 Monterey, CA 93943, United States of America |
| Abstract: | Embedded boundary meshes may have cut cells of arbitrarily small volume which can lead to stability problems in finite volume computations with explicit time stepping. We show that time step constraints are not as strict as often believed. We prove this in one dimension for linear advection and the first order upwind scheme. Numerical examples in two dimensions demonstrate that this carries over to more complicated situations. This analysis sheds light on the choice of time step when using cell merging to stabilize the arbitrarily small cells that arise in embedded boundary schemes. |
| Keywords: | Cut cell Cell merging Stability Embedded boundary |
| 本文献已被 ScienceDirect 等数据库收录！ | |