摘要
本文提出了一个新的杂交格式,它将Steger-Warming的矢通量分裂与Harten的TVD格式紧密结合在一起,构造了一个高分辨率的新格式,用于计算跨声速流场和捕获激波。典型的定常跨声速叶栅流算例表明:当Courant数取6～100时,一般在90步内残差的二范数下降三个数量级,这样的收敛率要比Beam-Warming格式快得多;观察残差的收敛历史发现:收敛曲线并无大的波动;分析激波附近的数值结果,没出现“低亏,过跳”、伪振荡现象,叶盆和叶背面上激波前或激波后的参数无波动;在60×15网格下捕获的激波过渡区不超过2个网格,表明了该格式具有较高的分辨率,能在不人为附加耗散项的条件下给出高质量无数值波动的激波流场解。
The paper presents a new high-resolution hybird scheme, combining the implicit flux vector splittings and Harten's TVD (total variation diminishing), which is suitable for computation of shock -on-shock interaction in gasdynamics. The hybrid scheme uses the Harten's TVD scheme to calculate numerical fluxs and the first-order flux splitting upwind scheme is applied to discretize the equations. It is one time-level and is second-order accurate in space almost everywhere exbept for some critidal points. The scheme neither destroys the TVD properties nor degenerates the accuracy of the converged steady-state solutions, thus is excludes expansion shoeds and leads only to physically relevant solutions.
出处
《应用力学学报》
CAS
CSCD
北大核心
1990年第2期83-89,144,共7页
Chinese Journal of Applied Mechanics
基金
国家自然科学基金
关键词
知通量
分裂
差分格式
流动
跨音速
numerical calculation, finite difference scheme, Euler equation, transonic flow.
