A Unified Conservative Interface Treatment for Arbitrarily Overset and Patched Multi-Zone Grids in Computational Fluid Dynamics

小行星9360558 在计算流体动力学（CFD）领域，多区域方法极大地简化了复杂几何细节的解决方案以及在流域的不同区域中应用不同的流动物理。 先前的多区域修补和重叠方法遭受以下问题中的一个或两个。 在所提出的方法中，重叠的边界之一是用来划分的物理流域到非重叠的区域和通量守恒在这个重叠的边界上局部和全局强制执行。 该方法统一了对任意拼接和重叠网格的处理。 从一个区域到另一个区域的流动变量的插值是不必要的。 所提出的方法是完全保守的，高精度，适用于定常和非定常流动问题，并易于实现在有限差分/有限体积CFD代码。 在第一阶段，将实施和评估所提出的方法，用于解决一些没有相对网格移动的2D和3D问题。 第二阶段将进一步扩展到粘性流和非定常流，并在生产级流分析代码中实施所提出的方法。

9360558 Wang In the field of Computational Fluid Dynamics (CFD), a multi-zonal approach greatly simplifies the resolution of complex geometrical details and the application of different flow physics in different zones of the flow domain. Previous multi-zonal patched and overlapped approaches suffered from one or both of the following problems. In the proposed approach, one of the overlapping boundaries is used to divide the physical flow domain into non-overlapping regions and flux conservation is enforced on this overlapping boundary locally and globally. The proposed approach unifies the treatment for arbitrarily patched and overlapped meshes. The interpolation of flow variables from one zone to another is not necessary. The proposed approach is fully conservative, highly accurate, suitable for both steady and unsteady flow problems and easy to implement in finite-difference/finite volume CFD codes. In Phase I, the proposed methodology will be implemented and assessed for several 2D and 3D problems without relative mesh movement. Further extension to viscous flow and unsteady flow with relative mesh movement and implementation of the proposed methodology in a production-level flow analysis code will be carried out in Phase II.