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首页> 外文期刊>International Journal for Numerical Methods in Fluids >ROBUST NUMERICAL METHODS FOR TRANSONIC FLOWS
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ROBUST NUMERICAL METHODS FOR TRANSONIC FLOWS

机译：跨音速流动的鲁棒数值方法

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In this paper, numerical methods for solving the transonic full potential equation are developed. The governing equation is discretized by a flux-biasing finite volume method. The resulting non-linear algebraic system is solved by using a continuation method with full Newton iteration. The continuation method is based on solving a highly upstream-weighted discretization and then gradually reducing the upstream weighting. A general PCG-like sparse matrix iterative solver is used to solve the Jacobians at each non-linear step. Various types of incomplete LU (ILU) preconditioners and ordering techniques are compared. Numerical results are presented to demonstrate that these methods are efficient and robust for solving the transonic potential equation in the workstation computing environment.
机译：本文提出了求解跨音速全势方程的数值方法。控制方程通过通量偏置有限体积法离散化。通过使用具有完整牛顿迭代的连续方法求解所得的非线性代数系统。连续方法基于解决高度上游加权离散化，然后逐渐减小上游加权的问题。通用的类似于PCG的稀疏矩阵迭代求解器用于在每个非线性步骤中求解雅可比行列式。比较了各种类型的不完全LU（ILU）预处理器和排序技术。数值结果表明，这些方法对于求解工作站计算环境中的跨音势方程是有效且鲁棒的。

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