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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >An upwind method for incompressible flows with heat transfer
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An upwind method for incompressible flows with heat transfer

机译：具有传热的不可压缩流的逆风方法

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$1Department of Aerospace Engineering, Indian Institute of Technology Bombay, Mumbai, India; ;Purpose - The purpose of this paper is to present a novel numerical method to solve incompressible flows with natural and mixed convections using pseudo-compressibility formulation. Design/methodology/approach - The present method is derived using the framework of Harten Lax and van Leer with contact (HLLC) method of Toro, Spruce and Spears, that was originally developed for compressible gas dynamics equations. This work generalizes the algorithm described in the previous paper to the case where heat transfer is involved. Here, the solution of the Riemann problem is approximated by a three-wave system. Findings - A few test cases involving incompressible laminar flows inside 2D square cavity for various Rayleigh and Reynolds numbers are considered for validating the present method. The computed results from the present method are found to be quite promising. Originality/value - Although pseudo-compressibility formulation has been found to have superior performance and has the potential to have numerical treatments similar to compressible flow equations, only two numerical methods have been applied so far; namely Jameson method and Roes flux difference splitting method. A new sophisticated numerical method, following the framework of HLLC method, is derived and implemented for solving pseudo-compressibility-based incompressible flow equations with heat transfer.
机译：1美元，印度孟买印度理工学院航空航天工程系； ；目的-本文的目的是提出一种新的数值方法，用拟压缩性公式求解自然对流和混合对流不可压缩的流动。设计/方法/方法-本方法是使用Toro，Spruce和Spears的Harten Lax和van Leer接触式（HLLC）方法的框架派生的，该方法最初是为可压缩气体动力学方程式开发的。这项工作将前一篇论文中描述的算法推广到涉及传热的情况。在此，通过三波系统来近似解黎曼问题。研究结果-考虑到一些涉及二维Rayleigh和Reynolds数的二维方腔内不可压缩层流的测试案例，可用于验证本方法。发现本方法的计算结果很有希望。独创性/价值-尽管已发现拟压缩性公式具有出色的性能，并且有可能进行类似于可压缩流动方程的数值处理，但到目前为止，仅使用了两种数值方法。即詹姆逊法和罗兹磁通差分裂法。在HLLC方法的框架下，推导并实现了一种新的复杂数值方法，用于求解基于伪可压缩性的带有热传递的不可压缩流方程。

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