交叉口(航空)
曲面(拓扑)
算法
符号距离函数
边界(拓扑)
背景(考古学)
领域(数学)
笛卡尔坐标系
浸入边界法
计算机科学
投影(关系代数)
数学
几何学
数学分析
工程类
生物
航空航天工程
古生物学
纯数学
作者
Chenguang Zhang,Chunliang Wu,K. Nandakumar
出处
期刊:Journal of Fluids Engineering-transactions of The Asme
[ASME International]
日期:2018-12-10
卷期号:141 (6)
被引量:9
摘要
We present three algorithms for robust and efficient geometric calculations in the context of immersed boundary method (IBM), including classification of mesh cells as inside/outside of a closed surface, projection of points onto a surface, and accurate calculation of the solid volume fraction field created by a closed surface overlapping with a background Cartesian mesh. The algorithms use the signed distance field (SDF) to represent the surface and remove the intersection tests, which are usually required by other algorithms developed before, no matter the surface is described in analytic or discrete form. The errors of the algorithms are analyzed. We also develop an approximate method on efficient SDF field calculation for complex geometries. We demonstrate how the algorithms can be implemented within the framework of IBM with a volume-average discrete-forcing scheme and applied to simulate fluid–structure interaction problems.
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