拉格朗日高阶中心型守恒气体动力学格式  

Lagrangian high order cell-centered conservative scheme

作　　者：葛全文[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《计算力学学报》2014年第6期714-721,共8页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(11172050;11372051;11001027)资助项目

摘　　要：提出了拉格朗日高阶中心型守恒气体动力学格式。用产生于当前时刻子网格密度和当前时刻网格声速的子网格压力构造了子网格力,用加权本质无震荡方法构造的高阶子网格力构造了高阶空间通量,借助时间中点通量的泰勒展开完成了高阶时间通量离散,利用动量守恒条件使得格点速度以与网格面的数值通量相容的方式计算。编制了拉格朗日高阶中心型守恒气体动力学格式,对Saltzman活塞问题进行了数值模拟,数值结果表明,拉格朗日高阶中心型守恒气体动力学格式的有效性和精确性.It presents Lagrangian high order cell-centered conservative gas dynamics scheme.The high or-der piecewise pressure of cell arising from the current time the sub cell density and the current time the isentropic speed of sound of cell are introudced.Using high order piecewise pressure of cell,the high or-der spatial discretization fluxes are constructed by means of weighted essentially non-oscillatory method. The time discretization of the spatial fluxes performed by means of the Taylor expansions of the spatial discretization fluxes centered in time.The vertex velocities and the numerical fluxes through the cell in-terfaces are evaluated in a consistent manner due to an original solver located at the nodes by means of momentum conservation.A Lagrangian high order cell-centered conservative gas dynamics scheme is con-structed.Many numerical tests are presented.They demonstrate the robustness and the accuracy of new scheme.

关 键 词：子网格力 拉格朗日中心型守恒格式 拉格朗日高阶中心型守恒格式 网格内高阶分片压力 

分 类 号：O241.82[理学—计算数学]