Lagrange非结构网格高阶交错型守恒气体动力学格式  

Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes

作　　者：葛全文 

机构地区：[1]应用物理与计算数学研究所,北京100094

出　　处：《应用数学和力学》2014年第1期92-101,共10页Applied Mathematics and Mechanics

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

摘　　要：提出Lagrange(拉格朗日)非结构网格高阶交错型守恒气体动力学格式.用产生于当前时刻子网格密度和网格声速的子网格压力和MUSCL方法构造了高阶子网格力,利用高阶子网格力构造了高阶空间通量,借助时间中点通量的Taylor(泰勒)展开完成了高阶时间通量离散.研制了Lagrange非结构网格高阶交错型守恒气体动力学格式.对Saltzman活塞问题等进行了数值模拟,数值结果显示了Lagrange非结构网格高阶交错型守恒气体动力学格式的有效性和精确性.A Lagrangian highorder staggered conservative gasdynamics scheme on unstructured meshes was presented.The highorder piecewise pressure on the cell arising from the present moment subcell density and presentmoment subcell acoustic speed was used to construct the highorder subcell force with the MUSCL method. The time discretization of the spatial fluxes was performed by means of the Taylor expansions of the spatial fluxes centered in time. There upon the Lagrangian highorder staggered conservative gasdynamics scheme was established. Several numerical tests were presented to demonstrate the robustness and accuracy of the new scheme.

关 键 词：高阶子网格力 Lagrange非结构网格高阶交错型守恒格式 Lagrange非结构网格高阶交错型格式 高阶分片压力 

分 类 号：O354[理学—流体力学]