A combined computational algorithm for solving the problem of long surface waves runup on the shore-Reference-Cited by-同舟云学术

A combined computational algorithm for solving the problem of long surface waves runup on the shore

Published:2016-01-01 Issue:4 Volume:31 Page:
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:
Short-container-title:

Author:

Shokin Yurii I.,Rychkov Alexander D.,Khakimzyanov Gayaz S.,Chubarov Leonid B.

Abstract

AbstractIn the present paper we study features and abilities of the combined TVD+SPH method relative to problems of numerical simulation of long waves runup on a shore within the shallow water theory. The results obtained by this method are compared to analytic solutions and to the data of laboratory experiments. Examples of successful application of the TVD+SPH method are presented for the case of study of runup processes for weakly nonlinear and strongly nonlinear waves, and also for

Publisher

Walter de Gruyter GmbH

Subject

Modelling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2016-0022/pdf

Reference5 articles.

1. Simulating free surface flows with SPH No Simulating free surface flows with SPHJ Comp;Monaghan;Phys,1994

2. On some numerical algorithms for computation of tsunami runup in the framework of shallow water model No On some numerical algorithms for computation of tsunami runup in the framework of shallow water model IComp;Beizel;Technol,2014

3. Use of analytic solutions in the statement of difference boundary conditions on a movable shoreline Anal Math Modelling No Use of analytic solutions in the statement of difference boundary conditions on a movable shorelineRuss Anal Math;Bautin;Modelling,2011

4. On numerical methods for solving runup problems II Experience with model problems Comp No On numerical methods for solving runup problems II Experience with model problemsComp;Shokin;Technol,2015

5. A new runup algorithm based on local high - order analytic expansions Math A new runup algorithm based on local high - order analytic expansionsJ;Khakimzyanov;Math,2016

Cited by 5 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. Stability Analysis of an Upwind Difference Splitting Scheme for Two-Dimensional Saint–Venant Equations;Symmetry;2022-09-22

2. Open Water Flow in a Wet/Dry Multiply-Connected Channel Network: A Robust Numerical Modeling Algorithm;Pure and Applied Geophysics;2020-02-05

3. An Algorithm for Source Reconstruction in Nonlinear Shallow-Water Equations;Computational Mathematics and Mathematical Physics;2018-08

4. Dynamics of unstable sound waves in a non-equilibrium medium at the nonlinear stage;Journal of Physics: Conference Series;2018-03

5. Bottom friction models for shallow water equations: Manning’s roughness coefficient and small-scale bottom heterogeneity;Journal of Physics: Conference Series;2018-03