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A volume-conservation particle shifting scheme for moving particle method simulating free-surface flow

Xiaoxing Liu, K. Wang, Guangtao Duan, Shuai Zhang

2024Computational Particle Mechanics10 citationsDOIOpen Access PDF

Abstract

In this study, a novel particle shifting scheme for the moving particle method simulating free surface flow is developed. The overall method is based on the framework of least square moving particle semi-implicit (LSMPS) method, enabling accurate and stable treatment of wall boundary without configuration of dummy or virtual wall particles. To avoid volume expansion, a volume-conservation particle shifting (VCPS) model is developed. An additional term considering the variation of particle numerical density is incorporated into the VCPS model to avoid volume expansion. Several numerical simulations are calculated to validate the effectiveness of the VCPS. It is demonstrated that LSMPS incorporating with VCPS shows satisfactory accuracy and superior capability to conserve volume.

Topics & Concepts

Particle (ecology)Flow (mathematics)Free surfaceSurface (topology)MechanicsVolume (thermodynamics)Scheme (mathematics)Particle methodComputer sciencePhysicsGeologyMathematicsGeometryMathematical analysisThermodynamicsOceanographyBoundary value problemFluid Dynamics Simulations and InteractionsFluid Dynamics and Heat TransferRobotic Path Planning Algorithms