Incompressible Fluids Simulation by Relaxing the Density-Invariant Condition in a Marine Simulator

Abstract

To achieve small-scale ocean scene simulation in a marine simulator, we present an incompressible SPH algorithm by relaxing the density-invariant condition for incompressible fluids. As there are larger density errors of the fluid particles near or on the boundary, more iteration numbers are required. Taking boundary handling to modify the density of the fluid particles, the relaxation method is used to optimize the iterative method to solve the density-invariant condition, which can reduce the iteration numbers and average density deviation and improve the accuracy. Our proposed approach can achieve incompressible SPH and solve the problem of the particle deficiency. While ensuring the stability, the approach can allow large time steps and control the density deviation below 0.01% and improve the efficiency by reducing the iteration numbers and optimizing the calculating procedure and the initial value selection.