耦合有限体积/蒙特卡罗方法中源项估计的比较及其在核聚变等离子体边缘模拟中的应用
A comparison of source term estimators in coupled finite-volume/Monte-Carlo methods with applications to plasma edge simulations in nuclear fusion
摘要：
在核聚变反应堆等离子体边缘模拟等许多应用中，需要耦合PDE/动力学描述，通常采用耦合有限体积/蒙特卡罗方法求解。已经提出了不同的程序来估计从模拟的Monte Carlo部分中出现的有限体积部分中的源项。在本文中，我们提出了一个系统的比较方差和计算成本的一套连贯的这样的估计程序。我们比较了不同的估计程序的质量在一个简化的前向-后向散射模型问题，其中的分析比较是可能的，和质量和动量在一个模型问题与现实的散射。我们的研究结果揭示了一个非平凡的依赖模型参数的估计的最佳选择，并表明，不同的估计程序占上风的不同数量的利益。
英文摘要：
In many applications, such as plasma edge simulation of a nuclear fusion reactor, a coupled PDE/kinetic description is required, which is usually solved with a coupled finite-volume/Monte-Carlo method. Different procedures have been proposed to estimate the source terms in the finite volume part that appear from the Monte Carlo part of the simulation. In this paper, we present a systematic comparison of the variance and computational cost of a coherent set of such estimation procedures. We compare the different estimation procedures for mass in a simplified forward-backward scattering model problem, where an analytical comparison is possible, and for mass and momentum in a model problem with realistic scattering. Our results reveal a non-trivial dependence of the optimal choice of estimator on the model parameters and show that different estimation procedures prevail for different quantities of interest.
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