Numerical Method for Calculating Plane Flows of Viscous Gas in a Cylinder

A. K. Zakirov, F. K. Nazarov
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Abstract

To solve scientific, technological and environmental problems in the field of road transport, it is necessary to develop new mathematical models. At this stage of development of internal combustion engines and their parts, it is necessary to model complex hydrodynamic technologies. This necessities revealing different forms of liquid and gas flows with arbitrary initial and boundary conditions for the region under consideration.The work is devoted to modelling a turbulent flow over a plate located in a cylinder. Reynolds-averaged Navier-Stokes equations were used as a mathematical model of the flow. Turbulent viscosity was calculated using the one-equation Spalart-Allmaras turbulence model. To solve the system of hydrodynamic equations, the finite difference method was used. A numerical method for calculating plane flows of viscous gas in a cylinder using turbulence models is presented. Suitable options were selected based on physical assumptions used to develop the models.Recommendations have been developed on the possibility of using the considered turbulence models.
计算圆筒内粘性气体平面流动的数值方法
为了解决公路运输领域的科学、技术和环境问题,有必要开发新的数学模型。在内燃机及其零部件发展的现阶段,有必要建立复杂的流体力学技术模型。这就需要揭示不同形式的液流和气流,并为所考虑的区域提供任意的初始条件和边界条件。雷诺平均纳维-斯托克斯方程被用作流动的数学模型。湍流粘度使用一方程 Spalart-Allmaras 湍流模型计算。为求解流体力学方程组,采用了有限差分法。介绍了一种利用湍流模型计算圆柱体中粘性气体平面流动的数值方法。根据开发模型时所使用的物理假设,选择了合适的方案,并就使用所考虑的湍流模型的可能性提出了建议。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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