Lagrangian formulations to solve free surface incompressible inviscid fluid flows

摘要

A particle method is presented for the solution of the incompressible inviscid fluid flow equation using a Lagrangian formulation. The interpolated function are those used in "meshless" approximations and the time integration is introduced in a semi-implicit way by A fractional step method. In this manner, both classical stabilization terms used in incompressible Euler equations are unnecessary: Numerical diffusion for convective terms are unnecessary due to the lagrangian formulation, and stabilization of pressure due to the Incompressibility constraint order interpolations is eliminated using the fractional step method.