TY - JOUR
T1 - Effective geometric algorithms for immersed boundary method using signed distance field
AU - Zhang, Chenguang
AU - Wu, Chunliang
AU - Nandakumar, Krishnaswamy
N1 - Publisher Copyright:
© 2019 by ASME.
PY - 2019/6/1
Y1 - 2019/6/1
N2 - 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.
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.
KW - fluid-structure interaction
KW - immersed boundary method
KW - signed distance field
UR - http://www.scopus.com/inward/record.url?scp=85058470532&partnerID=8YFLogxK
U2 - 10.1115/1.4041758
DO - 10.1115/1.4041758
M3 - 文章
AN - SCOPUS:85058470532
SN - 0098-2202
VL - 141
JO - Journal of Fluids Engineering, Transactions of the ASME
JF - Journal of Fluids Engineering, Transactions of the ASME
IS - 6
M1 - 061401
ER -