重叠网格方法的研究进展

从网格装配和插值计算两个主要方面对现有的重叠网格方法进行了综述。首先，从挖洞方法和建立嵌入网格关系环节的寻点技术出发归纳和介绍了网格装配方法；其次，介绍了数值迭代过程中的插值计算方法，并特别讨论了插值守恒性以及插值计算精度等问题；另外，对重叠网格方法的并行计算和应用成果也作了介绍；最后，通过总结认为重叠网格方法在改进网格装配方法、改善插值和并行计算效率等方面仍需进一步研究。

THE PROGRESS OF THE OVERLAPPING GRID TECHNIQUES

Overlapping grid techniques, from two major aspects, the grids assembly process and the interpo-lating computations in the numerical iterations, are reviewed in this paper. First, the grid assembly algorithms in the preconditioning step are discussed from two aspects, including the hole-cutting algorithms and the node-searching algorithms for building inter-grid links. Secondly, the interpolation methods for communication among overset grids in the numerical computations are illustrated. Meantime, the issues of conservative laws for in-compressible and compressible flows are discussed and the accuracy of interpolation is analyzed. The parallel implementations of overset grids and achievements in engineering applications are also reviewed. Finally, some conclutions are reached. There are wide spaces for further studies of overlapping grid techniques, such as the improvements of grid assembly,the interpolation and the parallel computations.