Abstract
We present a formulation of incompressible smoothed particle hydrodynamics (ISPH) method that utilizes pairwise-relaxing kernel to achieve approximately first-order consistency. Previous high-order formulations by using reproduced and corrected kernel function have had difficulties in ensuring momentum conservation. In the new scheme, relaxing constants for each kernel function are determined pair-wisely throughout the entire calculation domain by enforcing the Taylor-series consistency condition. We call this modified ISPH method Pairwise-Relaxing ISPH, or PR-ISPH. PR-ISPH retains high-order accuracy for non-uniform particle distributions. The spatial symmetry of the kernel function is kept in PR-ISPH thus momentum is strictly conserved. Several two-dimensional benchmark calculations are conducted to demonstrate the accuracy as well as the conservation property of the PR-ISPH.
| Original language | English |
|---|---|
| Pages (from-to) | 297-312 |
| Number of pages | 16 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 348 |
| DOIs | |
| Publication status | Published - May 1 2019 |
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All Science Journal Classification (ASJC) codes
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications
Cite this
A pairwise-relaxing incompressible smoothed particle hydrodynamics scheme. / Liu, Xiaoxing; Morita, Koji; Zhang, Shuai.
In: Computer Methods in Applied Mechanics and Engineering, Vol. 348, 01.05.2019, p. 297-312.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A pairwise-relaxing incompressible smoothed particle hydrodynamics scheme
AU - Liu, Xiaoxing
AU - Morita, Koji
AU - Zhang, Shuai
PY - 2019/5/1
Y1 - 2019/5/1
N2 - We present a formulation of incompressible smoothed particle hydrodynamics (ISPH) method that utilizes pairwise-relaxing kernel to achieve approximately first-order consistency. Previous high-order formulations by using reproduced and corrected kernel function have had difficulties in ensuring momentum conservation. In the new scheme, relaxing constants for each kernel function are determined pair-wisely throughout the entire calculation domain by enforcing the Taylor-series consistency condition. We call this modified ISPH method Pairwise-Relaxing ISPH, or PR-ISPH. PR-ISPH retains high-order accuracy for non-uniform particle distributions. The spatial symmetry of the kernel function is kept in PR-ISPH thus momentum is strictly conserved. Several two-dimensional benchmark calculations are conducted to demonstrate the accuracy as well as the conservation property of the PR-ISPH.
AB - We present a formulation of incompressible smoothed particle hydrodynamics (ISPH) method that utilizes pairwise-relaxing kernel to achieve approximately first-order consistency. Previous high-order formulations by using reproduced and corrected kernel function have had difficulties in ensuring momentum conservation. In the new scheme, relaxing constants for each kernel function are determined pair-wisely throughout the entire calculation domain by enforcing the Taylor-series consistency condition. We call this modified ISPH method Pairwise-Relaxing ISPH, or PR-ISPH. PR-ISPH retains high-order accuracy for non-uniform particle distributions. The spatial symmetry of the kernel function is kept in PR-ISPH thus momentum is strictly conserved. Several two-dimensional benchmark calculations are conducted to demonstrate the accuracy as well as the conservation property of the PR-ISPH.
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UR - http://www.scopus.com/inward/citedby.url?scp=85061429810&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2019.01.029
DO - 10.1016/j.cma.2019.01.029
M3 - Article
AN - SCOPUS:85061429810
VL - 348
SP - 297
EP - 312
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
ER -