【摘要】 采用5阶精度的非MUSCL型WENO格式对界面变量进行数值重构,形成了高精度的数值离散格式,再对其捕捉溃坝波的能力进行分析。针对一维浅水方程,用线性平均对方程组进行局部线性化,引入特征变量进行解耦,对解耦方程中的通量经LF分裂后采用WENO重构,数值模拟溃坝洪水向下游的推进过程,得到沿程的水位和流速分布。通过和理论解的比较表明,基于非MUSCL型WENO5重构的数值格式具有很高的分辨率,展现了溃坝涌波的运动特性。更多还原

【Abstract】 Fifth-order non-MUSCL weighed essentially non-oscillatory is applied to reconstruct the interface variables.A high resolution scheme is proposed and the performance of capturing dam-break waves is analyzed.After some part is linearized through linear average equation,the lax-friedrichs splitting and WENO reconstruction is used for the decoupled interface flux.The process of flood pushing to the downriver is simulated numerically,which finds the velocity distribution and depth distribution of the flood.By comparing with the results of the analytical solutions,the schemes with non-muscl WENO5 reconstruction has higher resolution,which shows the movement characteristics of dam-break wave.更多还原