TY  - EJOU
AU  - Kakuda, K. 
AU  - Hayashi, Y. 
AU  - Toyotani, J. 

TI  - Particle-based Simulations of Flows with Free Surfaces Using Hyperbolic-typeWeighting Functions
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 103
IS  - 4
SN  - 1526-1506

AB  - 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.
KW  - Particle method
KW  -  MPS
KW  -  hyperbolic-type weighting function
KW  -  neural network
KW  -  Laitone's approximate solutions
KW  -  dam-breaking flow

DO  - 10.3970/cmes.2014.103.229