Monte Carlo implementation and analytic solution of an inert‐scalar turbulent‐mixing test problem using a mapping closure
Monte Carlo implementation and analytic solution of an inert‐scalar turbulent‐mixing test problem using a mapping closure
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使用映射闭包的惰性标量湍流混合测试问题的蒙特卡罗实现和解析解
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
C. Dopazo
中科院分区：
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作者：
Luis Valiño;J. Ros;C. Dopazo
一个简单的推广，使用一个时间依赖的高斯标量场，最近提出的映射闭包陈等人。63，2657（1989）]，以模拟分子混合，增强湍流应变，为一个波动的标量场，提出和Monte Carlo实现。任意参数β允许调整高斯标量耗散率;然而，实际标量场的演化与β无关。对于具有两个不同标量含量值和简单对称初始条件的单元湍流混合，得到了一个解析解。为了说明这种方法的可行性和精确性，本文将蒙特卡罗模拟和解析解相结合，给出了该问题的数值结果。未来的扩展被概述。
A simple generalization, using a time‐dependent Gaussian scalar field, of a mapping closure recently proposed by Chen et al. [Phys. Rev. Lett. 63, 2657 (1989)] to model molecular mixing, enhanced by turbulent straining, for a fluctuating scalar field is presented and Monte Carlo implemented. An arbitrary parameter β allows the adjustment of the Gaussian‐scalar dissipation rate; the actual scalar field evolution is, however, independent of β. An analytic solution is obtained for the turbulent mixing of cells with two different values of the scalar content and simple symmetric initial conditions. Numerical results for this problem are produced, combining the Monte Carlo simulation and the analytic solution, in order to show the feasibility of this technique and its accuracy. Future extensions are outlined.