Journal
COMPUTATIONAL PARTICLE MECHANICS
Volume 1, Issue 3, Pages 277-305Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s40571-014-0027-2
Keywords
Least squares moving particle semi-implicit method; LSMPS method; High order scheme; Mesh free compact scheme; Moving particle semi-implicit method
Funding
- Grants-in-Aid for Scientific Research [14J09735] Funding Source: KAKEN
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In this paper, a consistent meshfree Lagrangian approach for numerical analysis of incompressible flow with free surfaces, named least squares moving particle semi-implicit (LSMPS) method, is developed. The present methodology includes arbitrary high-order accurate meshfree spatial discretization schemes, consistent time integration schemes, and generalized treatment of boundary conditions. LSMPS method can resolve the existing major issues of widely used strong-form particle method for incompressible flow-particularly, the lack of consistency condition for spatial discretization schemes, difficulty in enforcing consistent Neumann boundary conditions, and serious instability like unphysical pressure oscillation. Applications of the present proposal demonstrate remarkable enhancements of stability and accuracy.
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