SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary
Year: 2023
Author: Cheng Peng, Shihao Liu, Zhouwang Yang
Communications in Computational Physics, Vol. 33 (2023), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.OA-2022-0208
Communications in Computational Physics, Vol. 33 (2023), Iss. 2 : pp. 538–567
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Computer-aided engineering Inverse Lax-Wendroff signed distance function Euler equation.