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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June 2019
Research-Article
Effective Geometric Algorithms for Immersed Boundary Method Using Signed Distance Field
Chenguang Zhang,
Chenguang Zhang
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mails: zhan21@lsu.edu;
hi.chenguang@gmail.com
Louisiana State University,
Baton Rouge, LA 70803
e-mails: zhan21@lsu.edu;
hi.chenguang@gmail.com
Search for other works by this author on:
Chunliang Wu,
Chunliang Wu
ANSYS, Inc.,
10 Cavendish Court,
Lebanon, NH 03766;
10 Cavendish Court,
Lebanon, NH 03766;
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: chunliangwu@gmail.com
Louisiana State University,
Baton Rouge, LA 70803
e-mail: chunliangwu@gmail.com
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Krishnaswamy Nandakumar
Krishnaswamy Nandakumar
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: nandakumar@lsu.edu
Louisiana State University,
Baton Rouge, LA 70803
e-mail: nandakumar@lsu.edu
Search for other works by this author on:
Chenguang Zhang
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mails: zhan21@lsu.edu;
hi.chenguang@gmail.com
Louisiana State University,
Baton Rouge, LA 70803
e-mails: zhan21@lsu.edu;
hi.chenguang@gmail.com
Chunliang Wu
ANSYS, Inc.,
10 Cavendish Court,
Lebanon, NH 03766;
10 Cavendish Court,
Lebanon, NH 03766;
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: chunliangwu@gmail.com
Louisiana State University,
Baton Rouge, LA 70803
e-mail: chunliangwu@gmail.com
Krishnaswamy Nandakumar
Department of Chemical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: nandakumar@lsu.edu
Louisiana State University,
Baton Rouge, LA 70803
e-mail: nandakumar@lsu.edu
1Corresponding author.
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received May 4, 2018; final manuscript received October 15, 2018; published online December 10, 2018. Assoc. Editor: Samuel Paolucci.
J. Fluids Eng. Jun 2019, 141(6): 061401 (13 pages)
Published Online: December 10, 2018
Article history
Received:
May 4, 2018
Revised:
October 15, 2018
Citation
Zhang, C., Wu, C., and Nandakumar, K. (December 10, 2018). "Effective Geometric Algorithms for Immersed Boundary Method Using Signed Distance Field." ASME. J. Fluids Eng. June 2019; 141(6): 061401. https://doi.org/10.1115/1.4041758
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