标题：
Development of circular function-based gas-kinetic scheme (CGKS) on moving grids for unsteady flows through oscillating cascades
点击次数：
所属单位：
航空学院
发表刊物：
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
关键字：
circular function gas-kinetic scheme moving grids dynamic mesh method unsteady flows oscillating cascades
摘要：
In this paper, the circular function-based gas-kinetic scheme (CGKS), which was originally developed for simulation of flows on stationary grids, is extended to solve moving boundary problems on moving grids. Particularly, the unsteady flows through oscillating cascades are our major interests. The main idea of the CGKS is to discretize the macroscopic equations by the finite volume method while the fluxes at the cell interface are evaluated by locally reconstructing the solution of the continuous Boltzmann Bhatnagar-Gross-Krook equation. The present solver is based on the fact that the modified Boltzmann equation, which is expressed in a moving frame of reference, can recover the corresponding macroscopic equations with Chapman-Enskog expansion analysis. Different from the original Maxwellian function-based gas-kinetic scheme, in improving the computational efficiency, a simple circular function is used to describe the equilibrium state of distribution function. Considering that the concerned cascade oscillating problems belong to cases that the motion of surface boundary is known a priori, the dynamic mesh method is suitable and is adopted in the present work. In achieving the mesh deformation with high quality and efficiency, a hybrid dynamic mesh method named radial basic functions-transfinite interpolation is presented and applied for cascade geometries. For validation, several numerical test cases involving a wide range are investigated. Numerical results show that the developed CGKS on moving grids is well applied for cascade oscillating flows. And for some cases where nonlinear effects are strong, the solution accuracy could be effectively improved by using the present method. Copyright (c) 2017 John Wiley & Sons, Ltd.
ISSN号：
0271-2091
是否译文：
否
发表时间：
2017-08-30
合写作者：
Zhou, Di,郭同庆,Yang, Liming
通讯作者：
陆志良
发表时间：
2017-08-30
学位：工学博士学位
职称：教授
所在单位：航空学院