TY - JOUR
T1 - The stability criterion based on the spurious pressure oscillation analysis of MPS method
AU - Cai, Qinghang
AU - Chen, Ronghua
AU - Li, Yonglin
AU - Guo, Kailun
AU - Tian, Wenxi
AU - Qiu, Suizheng
AU - Su, G. H.
N1 - Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2022/12/15
Y1 - 2022/12/15
N2 - The Moving Particle Semi-implicit (MPS) method has been widely used in nuclear engineering due to its unique advantages in capturing moving interfaces. However, the unphysical numerical oscillation in MPS method is still a hotspot and difficulty in current study, and also a bottleneck hindering its high-accuracy numerical simulation of nuclear engineering. To obtain more accurate and stable numerical simulation, the spurious pressure oscillation behavior is studied theoretically and numerically. Through theoretical analysis, it is found that the incompressible compensation term is the main cause of spurious pressure oscillation. Besides, three mainstream forms of PPE are analyzed in detail. The simulations are carried out to study the effects of corrective matrix, time step, external force, numerical resolution and velocity on pressure oscillation. Finally, the stability criterion of spurious oscillation phenomenon is newly proposed to determine the time step, and reliable simulation results are obtained as well.
AB - The Moving Particle Semi-implicit (MPS) method has been widely used in nuclear engineering due to its unique advantages in capturing moving interfaces. However, the unphysical numerical oscillation in MPS method is still a hotspot and difficulty in current study, and also a bottleneck hindering its high-accuracy numerical simulation of nuclear engineering. To obtain more accurate and stable numerical simulation, the spurious pressure oscillation behavior is studied theoretically and numerically. Through theoretical analysis, it is found that the incompressible compensation term is the main cause of spurious pressure oscillation. Besides, three mainstream forms of PPE are analyzed in detail. The simulations are carried out to study the effects of corrective matrix, time step, external force, numerical resolution and velocity on pressure oscillation. Finally, the stability criterion of spurious oscillation phenomenon is newly proposed to determine the time step, and reliable simulation results are obtained as well.
KW - MPS method
KW - Numerical stability
KW - Spurious oscillation
UR - https://www.scopus.com/pages/publications/85137178388
U2 - 10.1016/j.anucene.2022.109437
DO - 10.1016/j.anucene.2022.109437
M3 - 文章
AN - SCOPUS:85137178388
SN - 0306-4549
VL - 179
JO - Annals of Nuclear Energy
JF - Annals of Nuclear Energy
M1 - 109437
ER -