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2010•Journal of Water Resources and Architectural EngineeringRequires access

Numerical Model of Shallow Water Flow with Irregular Topography Based on Unstructured Grids

Song Xu

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Abstract

A finite volume method is applied to set up the numerical model for solving the shallow water flow with complicated topography based on unstructured grids.The Roe's scheme is used in the calculation of interfacial flux.An efficient method using a modified water depth is proposed to treat the source term of bed slope and could satisfy the compatibility condition on unstructured grids.It can be also used with a large range of existing shock-capturing schemes such as the HLL,HLLC,CU method,etc.At last,the good quality and results are illustrated by means of two examples.

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What this paper is about

A finite volume method is applied to set up the numerical model for solving the shallow water flow with complicated topography based on unstructured grids.The Roe's scheme is used in the calculation of interfacial flux.An efficient method using a modified water depth is proposed to treat the source term of bed slope and could satisfy the compatibility condition on unstructured grids.It can be also used with a large range of existing shock-capturing schemes such as the HLL,HLLC,CU method,etc.At last,the good quality and results are illustrated by means of two examples.

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Available abstract

A finite volume method is applied to set up the numerical model for solving the shallow water flow with complicated topography based on unstructured grids.The Roe's scheme is used in the calculation of interfacial flux.An efficient method using a modified water depth is proposed to treat the source term of bed slope and could satisfy the compatibility condition on unstructured grids.It can be also used with a large range of existing shock-capturing schemes such as the HLL,HLLC,CU method,etc.At last,the good quality and results are illustrated by means of two examples.

Key concepts: Finite volume method, Unstructured grid, Shallow water equations, Computer science, Mathematical optimization, Flow (mathematics), Grid, Geology

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