Simulation of Shallow Water Flows with Shoaling Areas and Bottom Discontinuities

被引：20

作者：

Aleksyuk, A. I. ^{[1
,2
]}

Belikov, V. V. ^{[2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119991, Russia

[2] Russian Acad Sci, Inst Water Problems, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 02期

关键词：

shallow water equations; finite-volume method; Riemann problem; discontinuous bottom surface; dry-bottom areas; EQUATIONS; WAVES;

D O I：

10.1134/S0965542517020026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method based on a second-order accurate Godunov-type scheme is described for solving the shallow water equations on unstructured triangular-quadrilateral meshes. The bottom surface is represented by a piecewise linear approximation with discontinuities, and a new approximate Riemann solver is used to treat the bottom jump. Flows with a dry sloping bottom are computed using a simplified method that admits negative depths and preserves the liquid mass and the equilibrium state. The accuracy and performance of the approach proposed for shallow water flow simulation are illustrated by computing one-and two-dimensional problems.

引用

页码：318 / 339

页数：22

共 42 条

[1] Exact solutions to the Riemann problem of the shallow water equations with a bottom step
Alcrudo, F
Benkhaldoun, F
[J]. COMPUTERS & FLUIDS, 2001, 30 (06) : 643 - 671
[2] Alekseevskii N.I., 2014, POWER TECHNOL ENG, V48, P179, DOI [10.1007/s10749-014-0505-y, DOI 10.1007/S10749-014-0505-Y]
[3] Bazarov D. R., 1999, WATER RESOUR, V26, P17
[4] Belikov V. V., 1985, HYDRAULICS ROAD DISC, P54
[5] Belikov V. V., 1988, 42 USSR ACAD SCI GEN
[6] Belikov V. V., 2001, RF Patent, Patent No. 2001610638
[7] Belikov V. V., 1987, THESIS
[8] Belikov V. V., 2009, POWER TECHNOL ENG, V43, P296
[9] Belikov V.V., 2007, SAFETY ENERGY STRUCT, V16
[10] Belikov V. V., 2014, DAM BREAK POLDERS, P25

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