A high-resolution gas-kinetic scheme with minimized dispersion and controllable dissipation reconstruction

• 来源期刊: 中国科学:物理学 力学 天文学（英文版）
• 年，卷（期）: 2017,（11）
• 页码范围: 50-67
• 页数: 18页
• 语种: 英文
• DOI: 10.1007/s11433-017-9077-2

摘要

In order to simulate multiscale problems such as turbulent flows effectively,the high-order accurate reconstruction based on minimized dispersion and controllable dissipation (MDCD) is implemented in the second-order accurate gas-kinetic scheme (GKS) to improve the accuracy and resolution.MDCD is firstly extended to non-uniform grids through the modification of dissipation and dispersion coefficients for uniform grids based on the local stretch ratio.Remarkable improvements in accuracy and resolution are achieved on general grids.Then a new scheme,MDCD-GKS is constructed,with the help of MDCD reconstruction,not only for conservative variables,but also for their gradients.MDCD-GKS shows good accuracy and efficiency in typical numerical tests.MDCD-GKS is also coupled with the improved delayed detached-eddy simulation (IDDES) hybrid model and applied in the fine simulation of turbulent flow around a cylinder,and the prediction is in good agreement with experiments when using the relatively coarse grid.The high accuracy and resolution of the developed GKS guarantee its high efficiency in practical applications.