SPH에서 압력변동의 개선을 위한 기초연구

초록

Traditional Smoothed Particle Hydrodynamics(SPH) method has weakly compressible assumption to solve the basic equations composed of Navier-Stokes equations and Continuity equation. This leads to some drawbacks such as non-physical pressure fluctuations and a limitation as like small time steps. In this paper, we assume that the fluid is incompressible and the velocity-pressure coupling problem is solved by an approximate projection method. The boundary particles have repulsive force and its pressure is calculated through a pressure Poisson equation. Two-dimensional dam breaking and nonlinear waves on a beach are simulated using SPH method and incompressible SPH(ISPH) method. The results of numerical simulations are compared each other. The wave patterns from the nonlinear wave simulations on the beach are compared with those of existing experimental and computational results. In the pressure fields, each simulation result of the Incompressible SPH method is improved more than what is solved by the SPH method. The numerical simulation results are in good agreement with corresponding experimental data.