基于非结构化网格建立求解具有复杂地形的浅水流动的数值模型

采用有限体积法,基于非结构化网格上建立求解具有复杂地形的浅水流动数值模型。采用Roe格式的计算界面通量,引入一种单元界面处近似水深的方法来处理地形变化源项,并证明了在非结构化网上满足和谐性条件,此外,此方法还能有效的应用到现存的激波捕捉方法,如HLL、HLLC和CU格式等。通过两个算例,验证了格式是和谐的并具有良好的间断捕捉能力。

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

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.