Effective geometric algorithms for immersed boundary method using signed distance field

Chenguang Zhang; Chunliang Wu; Krishnaswamy Nandakumar

doi:10.1115/1.4041758

Effective geometric algorithms for immersed boundary method using signed distance field

Chenguang Zhang, Chunliang Wu, Krishnaswamy Nandakumar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English
Article number	061401
Journal	Journal of Fluids Engineering, Transactions of the ASME
Volume	141
Issue number	6
DOIs	https://doi.org/10.1115/1.4041758
State	Published - 1 Jun 2019
Externally published	Yes

Keywords

fluid-structure interaction
immersed boundary method
signed distance field

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10.1115/1.4041758

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AB - 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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Effective geometric algorithms for immersed boundary method using signed distance field

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