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Volume 33, Issue 2
SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

Cheng Peng, Shihao Liu & Zhouwang Yang

DOI: 10.4208/cicp.OA-2022-0208

Commun. Comput. Phys., 33 (2023), pp. 538-567.

Published online: 2023-03

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  • Abstract

This paper studies the geometric boundary representations for Inverse Lax-Wendroff (ILW) method, aiming to develop a practical computer-aided engineering method without body-fitted meshes. We propose the signed distance function (SDF) representation of the geometric boundary and design an extremely efficient algorithm for foot point calculation, which is particularly in line with the needs of ILW. Theoretical and numerical analyses demonstrate that the SDF representation of geometric boundary can satisfy ILW’s needs better than others. The effectiveness and robustness of our proposed method are verified by simulating initial boundary value computational physical problems of Euler equation for compressible fluids.

  • Keywords

Computer-aided engineering, Inverse Lax-Wendroff, signed distance function, Euler equation.

  • AMS Subject Headings

65M06, 65M99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-33-538, author = {Peng , ChengLiu , Shihao and Yang , Zhouwang}, title = {SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary}, journal = {Communications in Computational Physics}, year = {2023}, volume = {33}, number = {2}, pages = {538--567}, abstract = {

This paper studies the geometric boundary representations for Inverse Lax-Wendroff (ILW) method, aiming to develop a practical computer-aided engineering method without body-fitted meshes. We propose the signed distance function (SDF) representation of the geometric boundary and design an extremely efficient algorithm for foot point calculation, which is particularly in line with the needs of ILW. Theoretical and numerical analyses demonstrate that the SDF representation of geometric boundary can satisfy ILW’s needs better than others. The effectiveness and robustness of our proposed method are verified by simulating initial boundary value computational physical problems of Euler equation for compressible fluids.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2022-0208}, url = {http://global-sci.org/intro/article_detail/cicp/21499.html} }
TY - JOUR T1 - SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary AU - Peng , Cheng AU - Liu , Shihao AU - Yang , Zhouwang JO - Communications in Computational Physics VL - 2 SP - 538 EP - 567 PY - 2023 DA - 2023/03 SN - 33 DO - http://doi.org/10.4208/cicp.OA-2022-0208 UR - https://global-sci.org/intro/article_detail/cicp/21499.html KW - Computer-aided engineering, Inverse Lax-Wendroff, signed distance function, Euler equation. AB -

This paper studies the geometric boundary representations for Inverse Lax-Wendroff (ILW) method, aiming to develop a practical computer-aided engineering method without body-fitted meshes. We propose the signed distance function (SDF) representation of the geometric boundary and design an extremely efficient algorithm for foot point calculation, which is particularly in line with the needs of ILW. Theoretical and numerical analyses demonstrate that the SDF representation of geometric boundary can satisfy ILW’s needs better than others. The effectiveness and robustness of our proposed method are verified by simulating initial boundary value computational physical problems of Euler equation for compressible fluids.

Peng , ChengLiu , Shihao and Yang , Zhouwang. (2023). SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary. Communications in Computational Physics. 33 (2). 538-567. doi:10.4208/cicp.OA-2022-0208
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