拉格朗日高阶中心型守恒气体动力学格式

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.

Lagrangian high order cell-centered conservative scheme

It presents Lagrangian high order cell-centered conservative gas dynamics scheme.The high order 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 order 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 interfaces 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 constructed.Many numerical tests are presented.They demonstrate the robustness and the accuracy of new scheme.