论文标题
旋转坐标框架和滑动网格中的高阶紧凑型气动方案
A high-order compact gas-kinetic scheme in a rotating coordinate frame and on sliding mesh
论文作者
论文摘要
本文将高阶紧凑型气体运动方案(CGK)扩展到旋转坐标框架上的可压缩流仿模拟。在构建方案中,使用了与离心机和科里奥利加速度的包含的动力学方程。随着在旋转和固定域中平均的保守变量及其梯度的更新,开发了三阶紧凑型重建,它们之间的滑动接口。为了正确捕获冲击波和复杂的波相互作用,该方案中纳入了Hweno型非线性重建和梯度压缩因子。为了实现高阶时间准确性,基于通量函数及其时间导数,在方案中实现了多个阶段的多阶段多衍生(MSMD)时间步进方法,以实现两个阶段的第四阶准确度。从亚音速传播传播到旋转框架中高马赫数冲击相互作用的许多测试用例验证了CGK。紧凑的方案具有高阶精度和出色的鲁棒性。
This paper extends the high-order compact gas-kinetic scheme (CGKS) to compressible flow simulations on a rotating coordinate frame. The kinetic equation with the inclusion of centrifugal and Coriolis acceleration is used in the construction of the scheme. With the updates of both cell averaged conservative variables and their gradients in the rotating and stationary domains, a third-order compact reconstruction is developed with sliding interface between them. To properly capture shock wave and complicated wave interaction, the HWENO-type non-linear reconstruction and gradient compression factors are incorporated in the scheme. For achieving high-order time accuracy, based on the flux function and its time derivative the multi-stage multi-derivative (MSMD) time stepping method is implemented in the scheme for the fourth-order accuracy with two stages. The CGKS is validated by many test cases from subsonic acoustic wave propagation to the high Mach number shock interaction in a rotating frame. The compact scheme achieves high-order accuracy and remarkable robustness.