A Well-Balanced SPH-ALE Scheme for Shallow Water Applications-Reference-Cited by-同舟云学术

A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

Published:2021-08-08 Issue:3 Volume:88 Page:
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Prieto-Arranz Alberto,Ramírez Luis^ORCID,Couceiro Iván,Colominas Ignasi,Nogueira Xesús

Abstract

AbstractIn this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.

Funder

Ministerio de Ciencia, Innovación y Universidades

Xunta de Galicia

Consellería de Cultura, Educación e Ordenación Universitaria, Xunta de Galicia

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10915-021-01600-1.pdf

Reference63 articles.

1. LeVeque, R.J.: Balancing source terms and flux gradients in high-resolution godunov methods: the quasi-steady wave-propagation algorithm. J. Comput. Phys. 146(1), 346–365 (1998)

2. Zhou, J.G., Causon, D.M., Mingham, C.G., Ingram, D.M.: The surface gradient method for the treatment of source terms in the shallow-water equations. J. Comput. Phys. 168(1), 1–25 (2001)

3. Vukovic, S., Sopta, L.: ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations. J. Comput. Phys. 179(2), 593–621 (2002)

4. Chacón Rebollo, T., Domínguez Delgado, A., Fernández Nieto, E.. D.: A family of stable numerical solvers for the shallow water equations with source terms. Comput. Methods Appl. Mech. Eng. 192(1–2), 203–225 (2003)

5. Xing, Y., Shu, C.W.: High order finite difference WENO schemes with the exact conservation property for the shallow water equations. J. Comput. Phys. 208(1), 206–227 (2005)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A depth‐integrated SPH framework for slow landslides;International Journal for Numerical and Analytical Methods in Geomechanics;2024-08-08

2. A novel coupled Euler–Lagrange method for high resolution shock and discontinuities capturing;International Journal for Numerical Methods in Fluids;2023-12-17

3. Evaluating the Stability of Numerical Schemes for Fluid Solvers in Game Technology;International Journal of Computer Games Technology;2022-06-02

4. A Massively Parallel Hybrid Finite Volume/Finite Element Scheme for Computational Fluid Dynamics;Mathematics;2021-09-18