Particle-based simulations of flows with free surfaces using hyperbolic-typeweighting functions. (English) Zbl 1356.76277
Summary: In this paper, we present the application of the particle-based simulations to complicated fluid flow problem with free surfaces. The particle approach is based on the MPS (Moving Particle Simulation) method using hyperbolic-type weighting function to stabilize the spurious oscillatory solutions for solving the Poisson equation with respect to the pressure fields. The hyperbolic-type weighting function is constructed by differentiating the characteristic function based on neural network framework. The weighting function proposed herein is collaterally applied to the kernel function in the SPH-framework. Numerical results demonstrate the workability and validity of the present MPS approach through the dambreaking flow problem.
MSC:
76M28 | Particle methods and lattice-gas methods |
65M75 | Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs |