摘要
Abstract
Based on the solution structures of 1D Riemann problem, the analytical solution form is derived on the analysis of the conditions of wet and dry bed , and then the existence and uniqueness of the solution are discussed in details as well .For the 2D Ri-emann problem in the shallow water equations , a coordinate transformation method is proposed based on the rotational invariance principle , and then the global coordinate will be rotated such that the local one will coincide with the direction of outward vector nor -mal to the cell interface .Through the numerical simulation of the three dam -break cases , the feasibility of implementing exact Rie-mann problem solutions in the shallow water equations are proved , and the validity and reasonableness in handling wet /dry problem are confirmed.And this scheme has been proved to have the capability of accurately capturing the waves in dam -break problems.关键词
溃坝/浅水方程/Riemann问题/有限体积法Key words
dam-break/shallow water equation/Riemann problem/Finite Volume Method分类
建筑与水利
