论文标题
耦合有限体积/蒙特卡洛方法中的源项估计器与核融合中等离子体边缘模拟的应用
A comparison of source term estimators in coupled finite-volume/Monte-Carlo methods with applications to plasma edge simulations in nuclear fusion
论文作者
论文摘要
在许多应用中，例如核融合反应器的等离子边缘模拟，需要使用耦合的PDE/动力学描述，通常使用耦合的有限体积/蒙特卡罗方法求解。已经提出了不同的程序来估算从仿真的蒙特卡洛部分出现的有限体积部分中的源项。在本文中，我们介绍了一组连贯的估计程序的方差和计算成本的系统比较。我们比较了简化的前向散射模型问题中质量的不同估计程序，在这种模型中，可以进行分析比较，以及具有逼真散射的模型问题中的质量和动量。我们的结果揭示了估计器对模型参数的最佳选择的非平凡依赖性，并表明不同量的估计过程占据了不同量的估计过程。
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.
