计算物理
計算物理
계산물리
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2009年
6期
799-805
,共7页
非结构网格%旋转Riemann求解器%欧拉方程%Riemann邶求解器%多维格式%激波捕捉%"红斑"现象
非結構網格%鏇轉Riemann求解器%歐拉方程%Riemann邶求解器%多維格式%激波捕捉%"紅斑"現象
비결구망격%선전Riemann구해기%구랍방정%Riemann패구해기%다유격식%격파포착%"홍반"현상
unstructured grid%hybrid rotated Riemann solver%Elder equation%Riemann solver%multi-dimensionul scheme%shock capture%carbuncle phenomena
将基于旋转近似Riemann求解器的二阶精度迎风型有限体积方法推广到非结构网格,采用基于网格中心的有限体积法,梯度的计算采用基于节点的方法引入更多的控制体模板,限制器的构造采用与非结构化网格相适应的形式.在求解Riemann问题时,沿具有一定物理意义的两个迎风方向,即控制体界面两侧速度差矢量方向及与之正交的方向.能够完全消除基于Riemann求解器的通量差分裂格式存在的激波不稳定或"红斑"现象.为减小计算量,采用HLL和Roe FDS混合旋转格式.
將基于鏇轉近似Riemann求解器的二階精度迎風型有限體積方法推廣到非結構網格,採用基于網格中心的有限體積法,梯度的計算採用基于節點的方法引入更多的控製體模闆,限製器的構造採用與非結構化網格相適應的形式.在求解Riemann問題時,沿具有一定物理意義的兩箇迎風方嚮,即控製體界麵兩側速度差矢量方嚮及與之正交的方嚮.能夠完全消除基于Riemann求解器的通量差分裂格式存在的激波不穩定或"紅斑"現象.為減小計算量,採用HLL和Roe FDS混閤鏇轉格式.
장기우선전근사Riemann구해기적이계정도영풍형유한체적방법추엄도비결구망격,채용기우망격중심적유한체적법,제도적계산채용기우절점적방법인입경다적공제체모판,한제기적구조채용여비결구화망격상괄응적형식.재구해Riemann문제시,연구유일정물리의의적량개영풍방향,즉공제체계면량측속도차시량방향급여지정교적방향.능구완전소제기우Riemann구해기적통량차분렬격식존재적격파불은정혹"홍반"현상.위감소계산량,채용HLL화Roe FDS혼합선전격식.
A second-order rotational upwind transport scheme for multidimensionul compressible Euler equations on unstructured meshes is presented. Cell-centered FVM is employed in which gradient calculation is node-based with more neighbor cells. Slope limiter schemes are constructed for unstructured meshes. Numerical fluxes are evaluated by solving two Riemann problems in two upwind directions, including velocity-difference vector and perpendicular direction. The scheme eliminate shock instabilities or carbuncle phenomena in flux-difference splitting type schemes completely. A hybrid rotated Riemann solver is employed to form an economical numeric flux function and base Riemann solvers employ HLL and Roe FDS.
