A Meshfree Method For Incompressible Fluid Flows with Incorporated Surface Tension
Keywords:
Meshfree method, incompressible Navier-Stokes equations, projection method, free surface flow, least squares (LSQ) approximationAbstract
A meshfree particle method is used to simulate free surface flows. This is a Lagrangian method. Flows are modeled by the incompressible Navier-Stokes equations. The particle projection method is used to solve the Navier-Stokes equations. The spatial derivatives are approximated by the weighted least squares method (WLS). The pressure Poisson equation is solved by a local iterative procedure with the help of WLS. Numerical experiments are presented for two dimensional cases. In the case of breaking dam problem the numerical result is compared with the experimental result. The surface tension effects are studied in different shapes of drops and Laplace's law is verified. Finally, the collisions of two drops are simulated.
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