Volume 12, Issue 1
Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows

V. A. Titarev

Commun. Comput. Phys., 12 (2012), pp. 162-192.

Published online: 2012-12

Preview Full PDF 422 849
Export citation
  • Abstract

The paper is devoted to the development of anefficient deterministic framework for modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of the Boltzmann kinetic equation with the model collision integrals. The framework consists of a high-order accurate implicit advection scheme on arbitrary unstructured meshes, the conservative procedurefor the calculationof the model collision integral and efficient implementation on parallel machines. The main application area of the suggested methods is micro-scale flows. Performance of the proposed approach is demonstrated on a rarefied gas flow through the finite-length circular pipe. The results show good accuracy of the proposed algorithm across all flow regimes and its high efficiency and excellent parallel scalability for up to 512 cores. 

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

  • BibTex
  • RIS
  • TXT
@Article{CiCP-12-162, author = {V. A. Titarev}, title = {Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {1}, pages = {162--192}, abstract = {

The paper is devoted to the development of anefficient deterministic framework for modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of the Boltzmann kinetic equation with the model collision integrals. The framework consists of a high-order accurate implicit advection scheme on arbitrary unstructured meshes, the conservative procedurefor the calculationof the model collision integral and efficient implementation on parallel machines. The main application area of the suggested methods is micro-scale flows. Performance of the proposed approach is demonstrated on a rarefied gas flow through the finite-length circular pipe. The results show good accuracy of the proposed algorithm across all flow regimes and its high efficiency and excellent parallel scalability for up to 512 cores. 

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.220111.140711a}, url = {http://global-sci.org/intro/article_detail/cicp/7288.html} }
TY - JOUR T1 - Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows AU - V. A. Titarev JO - Communications in Computational Physics VL - 1 SP - 162 EP - 192 PY - 2012 DA - 2012/12 SN - 12 DO - http://dor.org/10.4208/cicp.220111.140711a UR - https://global-sci.org/intro/cicp/7288.html KW - AB -

The paper is devoted to the development of anefficient deterministic framework for modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of the Boltzmann kinetic equation with the model collision integrals. The framework consists of a high-order accurate implicit advection scheme on arbitrary unstructured meshes, the conservative procedurefor the calculationof the model collision integral and efficient implementation on parallel machines. The main application area of the suggested methods is micro-scale flows. Performance of the proposed approach is demonstrated on a rarefied gas flow through the finite-length circular pipe. The results show good accuracy of the proposed algorithm across all flow regimes and its high efficiency and excellent parallel scalability for up to 512 cores. 

V. A. Titarev. (1970). Efficient Deterministic Modelling of Three-Dimensional Rarefied Gas Flows. Communications in Computational Physics. 12 (1). 162-192. doi:10.4208/cicp.220111.140711a
Copy to clipboard
The citation has been copied to your clipboard