@Article{cmes.2014.103.229,
AUTHOR = {K. Kakuda, Y. Hayashi, J. Toyotani},
TITLE = {Particle-based Simulations of Flows with Free Surfaces Using Hyperbolic-typeWeighting Functions},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {103},
YEAR = {2014},
NUMBER = {4},
PAGES = {229--249},
URL = {http://www.techscience.com/CMES/v103n4/27118},
ISSN = {1526-1506},
ABSTRACT = {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.},
DOI = {10.3970/cmes.2014.103.229}
}