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A High-Order Dual-Time Stepping FR/CPR Method for Unsteady Incompressible Navier-Stokes Equations on Unstructured Moving Grids

机译:非结构化运动网格上非定常不可压缩Navier-Stokes方程的高阶双时间步进FR / CPR方法

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A high-order accurate flux reconstruction/correction procedure via reconstruction (FR/CPR) method is developed to solve incompressible Navier-Stokes equations on unstructured moving grids. An artificial compressibility method is adopted to facilitate the common flux reconstruction on element interfaces. For unsteady flow simulations, a dual-time stepping method is used for temporal discretization. For simulations on deformable/moving grids, the Geometric Conservation Law (GCL) introduced in dynamic spatial coordinate transformation has been enforced. The newly developed method is verified with several steady and unsteady benchmark incompressible flow problems.
机译:为了解决非结构化运动网格上不可压缩的Navier-Stokes方程,提出了一种通过重构的高阶精确通量重构/校正程序(FR / CPR)。采用人工可压缩性的方法来简化单元界面上的通量重建。对于非恒定流模拟,使用双重时间步进方法进行时间离散化。对于可变形/移动网格的模拟,已执行了在动态空间坐标变换中引入的几何守恒定律(GCL)。新开发的方法已通过几个稳态和非稳态基准不可压缩流动问题进行了验证。

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