A Cartesian cut cell method for rarefied flow simulations around moving obstacles
Abstract
For accurate simulations of rarefied gas flows around moving obstacles, we propose a cut cell method on Cartesian grids: it allows exact conservation and accurate treatment of boundary conditions. Our approach is designed to treat Cartesian cells and various kinds of cut cells by the same algorithm, with no need to identify the specific shape of each cut cell. This makes the implementation quite simple, and allows a direct extension to 3D problems. Such simulations are also made possible by using an adaptive mesh refinement technique and a hybrid parallel implementation. This is illustrated by several test cases, including a 3D unsteady simulation of the Crookes radiometer.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- June 2016
- DOI:
- 10.1016/j.jcp.2016.03.024
- arXiv:
- arXiv:1503.04544
- Bibcode:
- 2016JCoPh.314..465D
- Keywords:
-
- Kinetic equations;
- Deterministic method;
- Immersed boundaries;
- Cut cell method;
- Rarefied gas dynamics;
- Mathematics - Numerical Analysis;
- Physics - Classical Physics
- E-Print:
- doi:10.1016/j.jcp.2016.03.024