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首页> 外文期刊>International Journal for Numerical Methods in Fluids >SPLIT, CHARACTERISTIC BASED SEMI-IMPLICIT ALGORITHM FOR LAMINAR/TURBULENT INCOMPRESSIBLE FLOWS
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SPLIT, CHARACTERISTIC BASED SEMI-IMPLICIT ALGORITHM FOR LAMINAR/TURBULENT INCOMPRESSIBLE FLOWS

机译：基于分裂的，基于特征的半隐式层流/湍流不可压缩流算法

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摘要

In an earlier paper, Zienkiewicz and Codina (Int. j. numer. methods fluids, 20, 869-885 (1995)) presented a general algorithm for the solution of both compressible and incompressible Navier-Stokes equations. The algorithm, based on operator splitting, permits arbitrary interpolation functions to be used while avoiding the Babska-Brezzi restriction. In addition, its characteristic based approach introduces a form of rational dissipation. Zienkiewicz et al. (Int. j. numer. methods fluids, 20, 887-913 (1995)) presented the application of this algorithm in its fully explicit form to various inviscid compressible flow problems. They also presented two incompressible flow problems solved by the fully explicit form, employing a pseudo compressibility. The present work deals with the application of the above algorithm it its semi-implicit form to some incompressible flow benchmark problems. Further, it extends the methodology to turbulent flows by employing both one, and two equation turbulence models. A comparison of results with earlier investigations is presented. Other issues addressed in this study include the effect of additional diffusion terms present in the scheme for both laminar and turbulent flow problems and some practical difficulties associated with local time stepping.
机译：Zienkiewicz和Codina（Int。j。numer.methods fluids，20，869-885（1995））在较早的论文中提出了求解可压缩和不可压缩Navier-Stokes方程的通用算法。该算法基于算子拆分，允许使用任意插值函数，同时避免了Babska-Brezzi限制。此外，其基于特征的方法引入了一种合理的耗散形式。 Zienkiewicz等。 （Int.j.numer.methods fluids，20，887-913（1995））提出了该算法以其完全明确的形式对各种无粘性可压缩流问题的应用。他们还提出了两个不可压缩的流动问题，它们采用拟可压缩性，由完全显式形式解决。本工作将上述算法的半隐式形式应用于某些不可压缩的流量基准问题。此外，它通过使用一个和两个方程湍流模型将方法学扩展到湍流。介绍了与早期研究结果的比较。本研究中解决的其他问题包括方案中存在的附加扩散项对层流和湍流问题的影响，以及与本地时间步长相关的一些实际困难。

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