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低马赫数方法通过对可压缩方程中的压力波进行过滤,得到的方程能够对于反应或者传热造成密度出现较大波动问题进行很好描述。此方面的研究大多数集中在多相反应等问题上,然而工程实际上普遍存在的流固耦合以及多场耦合问题却鲜有涉及。本文将低马赫数方法与内嵌边界方法进行结合发展出可以用来求解弱可压缩流动中的流固耦合以及传热问题的数值算法。本文对加热圆柱在封闭腔体内的自然对流进行研究,同时也对本文提出的算法的正确性以及准确性进行了验证。
The low Mach number method can filter the pressure wave in the compressible equation and the equation can well describe the problem that the density is greatly fluctuated due to the reaction or heat transfer. Most of the researches in this area are focused on the problem of multi-phase reaction. However, the fluid-solid coupling and the coupling problem of many fields are ubiquitous in engineering. This paper combines the low Mach number method with the inline boundary method to develop a numerical algorithm that can be used to solve the fluid-structure coupling and heat transfer problems in weakly compressible flows. In this paper, we study the natural convection of a heated cylinder in a closed cavity, and verify the correctness and accuracy of the proposed algorithm.