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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Grid-free vortex methods for natural convection; Handling source terms and nonlinear diffusion
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Grid-free vortex methods for natural convection; Handling source terms and nonlinear diffusion

机译：自然对流的无网格涡旋方法;处理源项和非线性扩散

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摘要

Vortex methods for simulating natural convection of a ideal gas in unbounded two-dimensional domains are presented. In particular, the redistribution method is extended to enable simulation of nonlinear diffusion of an ideal gas in isobaric conditions encountered in unbounded low Mach number flows. In solving the linear system governing the redistribution of a given element, the entropy of the fractions transferred to its neighbors is maximized. We also address the problem of handling source terms in grid-free vortex methods and propose a fast, accurate, and physically motivated method for solving the associated inverse problems. Examples include generation of baroclinic vorticity in nonreacting buoyancy-driven flows, and in addition, generation of internal energy and species in buoyant reacting flows. Accuracy and speed of the proposed algorithms for nonlinear diffusion and vorticity generation are investigated separately. Simulations of natural convection of a thermal patch for Grashof number ranging from to 1,562.5 to 25,000 are presented.
机译：提出了在无界二维域内模拟理想气体自然对流的涡旋方法。特别地，重新分配方法得到扩展，以能够模拟在无界低马赫数流中遇到的等压条件下理想气体的非线性扩散。在求解控制给定元素重新分布的线性系统时，传递到其相邻元素的分数的熵最大。我们还解决了在无网格涡旋方法中处理源项的问题，并提出了一种快速，准确且具有物理动机的方法来解决相关的逆问题。实例包括在非反应性浮力驱动流中产生斜压涡旋，以及在浮性反应流中产生内能和物质。分别研究了所提出的非线性扩散和涡旋生成算法的准确性和速度。给出了格拉斯霍夫数从1,562.5到25,000的热补丁自然对流的模拟。

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