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The Immersed Boundary method (IBM) has received wide attention from last decade, due to its promising application to solve the fluid-solid interaction problems in large quantities of practical engineering areas. This paper implemented IBM with Multi-Direct-Forcing (MDF), presenting the evaluation of momentum forces on the body surface interaction forces between fluid-solid. Grounded on the Multi-Direct-Forcing method, we constructed a new system that could be efficiently and fast solved. Meanwhile, this proposed algorithm is easy to code and implement parallelization. Besides, it can be extended to three-dimensional simulation without much more extra efforts. Accuracy of the proposed MDF immersed boundary method has been investigated, as well as some applications such as flow past the cylinder at a set of low Reynolds numbers.

A Fast, Efficient Multi-Direct Forcing of Immersed Boundary Method for Flow in Complex Geometry