A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows
A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows
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DOI：
10.1016/j.jcp.2009.02.004
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发表时间：
2009-05
期刊：
影响因子：
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通讯作者：
T. Chisholm;D. Zingg
中科院分区：
文献类型：
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作者：
T. Chisholm;D. Zingg
尽管无雅可比牛顿-克雷洛夫 (JFNK) 方法在计算物理学的许多分支中变得越来越流行，但它尚未成为求解湍流空气动力流的可压缩纳维-斯托克斯方程的首选方法。在某种程度上，这与 JFNK 方法的一些微妙方面没有被很好地理解有关，如果处理不当，可能会导致性能低下和不可靠。这里描述了这些问题以及解决这些问题的策略，从而产生了一种适用于多块结构化网格和单方程湍流模型的高效湍流空气动力流 JFNK 算法。场方程湍流模型全球化策略的开发是本文的主要贡献之一。为了证明算法的效率和可靠性，给出了单元件和多元件翼型上的亚音速和跨音速流动的大量例子。此外，还提供了许多指南来帮助诊断 JFNK 算法的问题。
Despite becoming increasingly popular in many branches of computational physics, Jacobian-free Newton–Krylov (JFNK) methods have not become the approach of choice in the solution of the compressible Navier–Stokes equations for turbulent aerodynamic flows. To a degree, this is related to some subtle aspects of JFNK methods that are not well understood, and, if poorly handled, can lead to inefficient and unreliable performance. These are described here, along with strategies for addressing them, leading to an efficient JFNK algorithm for turbulent aerodynamic flows applicable to multi-block structured grids and a one-equation turbulence model. Development of globalization strategies for field-equation turbulence models represents one of the key contributions of the paper. Numerous examples of subsonic and transonic flows over single and multi-element airfoils are presented in order to demonstrate the efficiency and reliability of the algorithm. In addition, a number of guidelines are presented to aid in diagnosing problems with JFNK algorithms.