The paper is devoted to the development of an efficient deterministic framework for modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of the Boltzmann kinetic equation with the m...The paper is devoted to the development of an efficient 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 unstructuredmeshes,the conservative procedure for the calculation of themodel 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.展开更多
基金This work was supported by the Russian Foundation for Basic Research,project no.10-01-00721-a.The author would also like to thank Dr.Les Oswald from the IT department of Cranfield University for his help with running large-scale parallel simulations on university’s HPC facility Astral and anonymous reviewers whose critical comments helped to improve the paper.
文摘The paper is devoted to the development of an efficient 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 unstructuredmeshes,the conservative procedure for the calculation of themodel 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.
