Stochastic moving particle semi-implicit for inviscid fluid wave simulation

TL;DR

This paper introduces a stochastic velocity enhancement to the moving particle semi-implicit method, significantly reducing energy loss and prolonging wave survival in inviscid fluid simulations.

Contribution

The paper proposes a novel stochastic velocity addition to MPS, improving wave longevity and accuracy in inviscid fluid wave simulations compared to the basic method.

Findings

Stochastic velocity extends wave lifespan in simulations.

Improved wave parameter accuracy with stochastic enhancement.

Efficient surface detection and curve fitting methods.

Abstract

The present paper introduces stochastic velocity as improvement for moving particle semi-implicit (MPS) method. This improvement is to overcome energy loss caused by numerical dissipation in the basic MPS that brings about rapid decay of waves. Stochastic velocity is added in the explicit step of the basic MPS method. MPS with stochastic improvement is compared with the basic method in the case of linear water waves, in particular dam break problem and standing wave in a rectangular tank. Surface detection and curve fitting are used to analyze the parameters of wave on the standing wave case. The surface detection and curved fitting was efficient to determine parameters of the wave and it was found that the stochastic improvement made the waves survived longer than in the basis method.