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

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.

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