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Conserved Discrete Unified Gas-kinetic Scheme with Unstructured Discrete Velocity Space by Chen, Jianfeng; Liu, Sha; Wang, Yong; Zhong, Chengwen is a scholarly article available to read on EtoBox.

What is Conserved Discrete Unified Gas-kinetic Scheme with Unstructured Discrete Velocity Space about?

Discrete unified gas-kinetic scheme (DUGKS) is a multi-scale numerical method for flows from continuum limit to free molecular limit, and is especially suitable for the simulation of multi-scale flows, benefiting from its multi-scale property. To reduce integration error of the DUGKS and ensure the conservation property of the collision term in isothermal flow simulations, a Conserved-DUGKS (C-DUGKS) is proposed. On the other hand, both DUGKS and C-DUGKS adopt Cartesian-type discrete velocity space, in which Gaussian and Newton-Cotes numerical quadrature are used for calculating the macroscopic physical variables in low speed and high speed flows, respectively. While, the Cartesian-type discrete velocity space leads to huge computational cost and memory demand. In this paper, the isothermal C-DUGKS is extended to the non-isothermal case by adopting coupled mass and inertial energy distribution functions. Moreover, since the unstructured mesh, such as the triangular mesh in two dimensional case, is more flexible than the structured Cartesian mesh, it is introduced to the discrete velocity space of C-DUGKS, such that more discrete velocity points can be arranged in the velocity regio

Author

Chen, Jianfeng; Liu, Sha; Wang, Yong; Zhong, Chengwen

Published

2019

Language

EN