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。
Low Mach equations are obtained from fully compressible Navier-Stokes equations by filtering the pressure wave.So the influence of the pressure wave can be neglected and the derived equations can describe the problems with variation of density due to large temperature gradient or reaction.Investigations about low Mach number approximation mostly focus on the multiphase reaction;nevertheless,few investigations have been reported about the fluid-solid interaction,which is widespread in industry application.The paper combines the Low Mach Number approximation and Immersed Boundary Method developing a numerical algorithm,which can be used to study weakly compressible flows with fluid-solid interaction and heat transfer.And we simulate natural convection with a cylinder heated in cavity and concentric cylinders with different temperature to valid accuracy of our proposed numerical algorithm.
参考文献
| [1] | B. S. Kim;D. S. Lee;M. Y. Ha;H. S. Yoon .A numerical study of natural convection in a square enclosure with a circular cylinder at different vertical locations[J].International Journal of Heat and Mass Transfer,2008(7/8):1888-1906. |
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