| 葛全文.拉格朗日高阶中心型守恒气体动力学格式[J].计算力学学报,2014,31(6):714~721 |
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| 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 |
| 投稿时间：2013-07-06 修订日期：2013-11-23 |
| DOI：10.7511/jslx201406006 |
| 中文关键词: 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 |
| 英文关键词:a sub-cell force a Lagrange cell-centered conservative scheme a Lagrange high order cell-centered conservative scheme high order piecewise pressure of cell |
| 基金项目:国家自然科学基金(11172050,11372051,11001027)资助项目. |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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. |
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