TY - JOUR
T1 - A pairwise-relaxing incompressible smoothed particle hydrodynamics scheme
AU - Liu, Xiaoxing
AU - Morita, Koji
AU - Zhang, Shuai
N1 - Publisher Copyright:
© 2019 Elsevier B.V.
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.
UR - http://www.scopus.com/inward/record.url?scp=85061429810&partnerID=8YFLogxK
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 -