Effective geometric algorithms for immersed boundary method using signed distance field

[+] Author and Article Information
Chenguang Zhang

Department of Chemical Engineering, Louisiana State University, 70803

Chunliang Wu

ANSYS Inc, 10 Cavendish Court, Lebanon NH 03766, Department of Chemical Engineering, Louisiana State University, 70803

Kumar Nandakumar

Department of Chemical Engineering, Louisiana State University, 70803

1Corresponding author.

ASME doi:10.1115/1.4041758 History: Received May 04, 2018; Revised October 15, 2018


We present three algorithms for robust and efficient geometric calculations in the context of immersed boundary method, 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 an enclosed 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 efficiently implemented within the framework of immersed boundary method with a volume-average discrete-forcing scheme and can be applied to simulate fluid-structure interaction problems.

Copyright (c) 2018 by ASME
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