Moving Mesh Method

Adaptive gridding techniques fall into two broad classes, adaptive mesh redistribution (i.e. Movind Mesh Method) and adaptive mesh refinement, both contained in the acronym AMR. Techniques for the moving mesh method continuously reposition a fixed number of cells, and so they improve the resolution in particular locations of the computational domain.

It has been amply demonstrated that significant improvements in accuracy and efficiency can be gained by using the moving mesh methods for problems having large solution variations. This is especially true in areas such as fluid dynamics, hydraulics, combustion, and heat transfer. For problems in these areas, very fine meshes are often required over a small portion of the physical domain to resolve large solution variations there. Numerical solution of these problems using uniform meshes is formidable, even with the use of supercomputers when the systems involve two or more spatial dimensions. Because of the great potential of the moving mesh methods for reducing computational costs and data storages without reducing the overall level of accuracy, it is a forefront area in scientific computation.


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Project Leader: Tao Tang
Project Members: Ruo Li, Huazhong Tang, Zhenru Zhang