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Particle-based Simulations of Flows with Free Surfaces Using Hyperbolic-typeWeighting Functions

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1 College of Industrial Technology, Nihon University, Narashino, Chiba 275-8575, Japan.

Computer Modeling in Engineering & Sciences 2014, 103(4), 229-249. https://doi.org/10.3970/cmes.2014.103.229

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.

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APA Style
Kakuda, K., Hayashi, Y., Toyotani, J. (2014). Particle-based simulations of flows with free surfaces using hyperbolic-typeweighting functions. Computer Modeling in Engineering & Sciences, 103(4), 229-249. https://doi.org/10.3970/cmes.2014.103.229
Vancouver Style
Kakuda K, Hayashi Y, Toyotani J. Particle-based simulations of flows with free surfaces using hyperbolic-typeweighting functions. Comput Model Eng Sci. 2014;103(4):229-249 https://doi.org/10.3970/cmes.2014.103.229
IEEE Style
K. Kakuda, Y. Hayashi, and J. Toyotani, “Particle-based Simulations of Flows with Free Surfaces Using Hyperbolic-typeWeighting Functions,” Comput. Model. Eng. Sci., vol. 103, no. 4, pp. 229-249, 2014. https://doi.org/10.3970/cmes.2014.103.229



cc Copyright © 2014 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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