High-resolution viscous flow simulations at arbitrary Mach number
High-resolution viscous flow simulations at arbitrary Mach number
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DOI：
10.1016/s0021-9991(02)00018-9
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发表时间：
2003-01-01
影响因子：
4.1
通讯作者：
Whitfield, DL
中科院分区：
文献类型：
--
作者：
Briley, WR;Taylor, LK;Whitfield, DL
基于特征线的非定常粘性流求解器的开发与预处理，是均匀适用于马赫数范围从基本上不可压缩的超音速。无量纲原始变量的预处理通量差公式是本方法的关键要素。简单的原始变量数值通量与Roe的通量差分格式相关，并且在有或没有预处理的情况下使用原始变量保留接触不连续性。通过单参数对角矩阵的预处理条件的无量纲的局部速度和局部温度的系统特征值。一个迭代隐式求解算法的预处理配方，并用于几个简单的测试和验证情况。这些包括无粘性激波管的情况下，平板边界层流动在低马赫数，粘性流通过一个圆柱体在低雷诺数和不同的热边界条件，和不可压缩和跨音速流动的验证情况。(C)2002 Elsevier Science B.V.保留所有权利。
A characteristic-based unsteady viscous flow solver is developed with preconditioning that is uniformly applicable for Mach numbers ranging from essentially incompressible to supersonic. A preconditioned flux-difference formulation for nondimensional primitive variables is a key element of the present approach. The simple primitive-variable numerical flux is related to Roe's flux-difference scheme and preserves contact discontinuities using primitive variables, with or without preconditioning. Preconditioning by a single-parameter diagonal matrix conditions the system eigenvalues in terms of nondimensional local velocity and local temperature. An iterative implicit solution algorithm is given for the preconditioned formulation and is used for several simple test and validation cases. These include an inviscid shock-tube case, flat-plate boundary layer flow at low Mach number, viscous flow past a circular cylinder at low Reynolds number and with different thermal boundary conditions, and validation cases for incompressible and transonic flows. (C) 2002 Elsevier Science B.V. All rights reserved.