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A simple method for improving the SIMPLER algorithm for numerical simulations of incompressible fluid flow and heat transfer problems

机译：一种改进SIMPLER算法的简单方法，用于不可压缩流体流动和传热问题的数值模拟

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Purpose - To provide an improved version of SIMPLER algorithm which can enhance the convergence rate of the iterative solution procedure in the field of computational fluid dynamics analysis. Design/methodology/approach - The improved version of SIMPLER algorithm is developed by modifying the coefficients of the velocity correction equation and implementing the correction of pressure within an iteration cycle. Findings - The CSMPLER algorithm (the improved version) can enhance the convergence rate for almost all cases tested, especially for the low under-relaxation factor situations. The pressure correction term even can be overrelaxed to further enhance the convergence rate. Research limitations/implications - The CSMPLER algorithm can enhance the rate of convergence to different degree for different problems. It can only be adopted to solve the incompressible fluid flow and heat transfer. Practical implications - CSMPLER is a simple and effectual method to enhance the convergence rate of the iterative process for the computational fluid dynamics analysis. The existing code of SIMPLER can be easily changed to CSMPLER. Originality/value - The paper developed an improved version of SMPLER algorithm with some minor changes in the existing SIMPLER code.
机译：目的-提供SIMPLER算法的改进版本，可以提高计算流体动力学分析领域中迭代求解过程的收敛速度。设计/方法/方法-SIMPLER算法的改进版本是通过修改速度校正方程的系数并在迭代周期内实施压力校正来开发的。发现-CSMPLER算法（改进版本）可以提高几乎所有测试情况下的收敛速度，尤其是在低松弛因子较低的情况下。甚至可以放宽压力校正项以进一步提高收敛速度。研究局限/意义-CSMPLER算法可以针对不同问题在不同程度上提高收敛速度。它只能用于解决不可压缩的流体流动和传热问题。实际意义-CSMPLER是一种简单有效的方法，可以提高迭代过程的收敛速度，以进行计算流体动力学分析。 SIMPLER的现有代码可以轻松更改为CSMPLER。原创性/价值-本文开发了SMPLER算法的改进版本，对现有SIMPLER代码进行了一些细微更改。

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