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Title:

A fourth-order kernel for improving numerical accuracy and stability in Eulerian SPH for fluids and total Lagrangian SPH for solids

Document type:
Zeitschriftenaufsatz
Author(s):
Wang, Zhentong; Zhang, Bo; Haidn, Oskar J.; Hu, Xiangyu
Abstract:
The error of smoothed particle hydrodynamics (SPH) using a kernel for particle-based approximation mainly arises from smoothing and integration errors. The choice of the kernel significantly impacts numerical accuracy, stability and computational efficiency. Currently, the most popular kernels, such as B-spline, truncated Gaussian (for compact support), and Wendland kernels, have 2nd-order smoothing errors, and the Wendland kernel has become mainstream in the SPH community due to its stability a...     »
Keywords:
Computational efficiency; Eulerian SPH; Fourth-order; Numerical accuracy; Stability; Total Lagrangian SPH; Truncated Laguerre-Gauss kernel
Dewey Decimal Classification:
620 Ingenieurwissenschaften
Journal title:
Journal of Computational Physics
Year:
2024
Journal volume:
519
Pages contribution:
113385
Covered by:
Scopus
Language:
en
Fulltext / DOI:
doi:10.1016/j.jcp.2024.113385
Publisher:
Elsevier BV
E-ISSN:
0021-9991
Submitted:
07.09.2023
Accepted:
29.08.2024
Date of publication:
01.12.2024
TUM Institution:
Lehrstuhl für Aerodynamik und Strömungsmechanik
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