TY - GEN
T1 - Development of least squares moving particle semi-implicit method
AU - Tamai, Tasuku
AU - Shibata, Kazuya
AU - Koshizuka, Seiichi
PY - 2013
Y1 - 2013
N2 - In this paper, with focusing particular attention on a major issue - the lack of consistency conditions on the spatial discretization schemes of the existing MPS method, we develop a new meshfree particle method named Least Squares Moving Particle Semi-implicit/Simulation (LSMPS) method. The new schemes have arbitraly higher order consistency conditions, make treatment of boundary conditions exceedingly easy, and can be applied for both Eulerian and Lagrangian framework. Moreover, applications of the new schemes for numerical analysis of incompressible flows with the free surfaces result in enhancement of numerical accuracy and stability.
AB - In this paper, with focusing particular attention on a major issue - the lack of consistency conditions on the spatial discretization schemes of the existing MPS method, we develop a new meshfree particle method named Least Squares Moving Particle Semi-implicit/Simulation (LSMPS) method. The new schemes have arbitraly higher order consistency conditions, make treatment of boundary conditions exceedingly easy, and can be applied for both Eulerian and Lagrangian framework. Moreover, applications of the new schemes for numerical analysis of incompressible flows with the free surfaces result in enhancement of numerical accuracy and stability.
KW - High order schemes
KW - Least squares moving particle semi-implicit method
KW - Least squares moving particle simulation method
KW - Lsmps method
KW - Moving particle semi-implicit method mps method
UR - http://www.scopus.com/inward/record.url?scp=84891275289&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84891275289&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84891275289
SN - 9788494153181
T3 - Particle-Based Methods III: Fundamentals and Applications - Proceedings of the 3rd International Conference on Particle-based MethodsFundamentals and Applications, Particles 2013
SP - 840
EP - 851
BT - Particle-Based Methods III
T2 - 3rd International Conference on Particle-Based Methods Fundamentals and Applications, Particles 2013
Y2 - 18 September 2013 through 20 September 2013
ER -