Application of local mesh refinement in the DSMC method

J. S. Wu, K. C. Tseng, C. H. Kuo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

The implementation of an adaptive mesh embedding (h-refinement) schemes using unstructured grid in two-dimensional Direct Simulation Monte Carlo (DSMC) method is reported. In this technique, local isotropic refinement is used to introduce new meshes where local cell Knudsen number is less than some preset value. This simple scheme, however, has several severe consequences affecting the performance of the DSMC method. Thus, we have applied a technique to remove the hanging mode, by introducing anisotropic refinement in the interfacial cells. This is completed by simply connect the hanging node(s) with the other non-hanging node(s) in the non-refined, interfacial cells. In contrast, this remedy increases negligible amount of work; however, it removes all the difficulties presented in the first scheme with hanging nodes. We have tested the proposed scheme for Argon gas using different types of mesh, such as triangular and quadrilateral or mixed, to high-speed driven cavity flow. The results show an improved flow resolution as compared with that of unadaptive mesh. Finally, we have triangular adaptive mesh to compute two near-continuum gas flows, including a supersonic flow over a cylinder and a supersonic flow over a 35° compression ramp. The results show fairly good agreement with previous studies. In summary, the computational penalties by the proposed adaptive schemes are found to be small as compared with the DSMC computation itself. Nevertheless, we have concluded that the proposed scheme is superior to the original unadaptive scheme considering the accuracy of the solution.

Original languageEnglish
Title of host publicationRarefied Gas Dynamics
Subtitle of host publication22nd International Symposium
EditorsTimothy J. Bartel, Michael A. Gallis
PublisherAmerican Institute of Physics Inc.
Pages417-425
Number of pages9
ISBN (Electronic)0735400253
DOIs
StatePublished - 30 Aug 2001
Event22nd International Symposium on Rarefied Gas Dynamics - Sydney, Australia
Duration: 9 Jul 200014 Jul 2000

Publication series

NameAIP Conference Proceedings
Volume585
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference22nd International Symposium on Rarefied Gas Dynamics
CountryAustralia
CitySydney
Period9/07/0014/07/00

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    Wu, J. S., Tseng, K. C., & Kuo, C. H. (2001). Application of local mesh refinement in the DSMC method. In T. J. Bartel, & M. A. Gallis (Eds.), Rarefied Gas Dynamics: 22nd International Symposium (pp. 417-425). (AIP Conference Proceedings; Vol. 585). American Institute of Physics Inc.. https://doi.org/10.1063/1.1407591