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GPU-Accelerated numerical simulations of the Knudsen gas on time-dependent domains

机译:GPU在时变域上加速Knudsen气体的数值模拟

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摘要

We consider the long-time behaviour of a free-molecular gas in a time-dependent vessel with an absorbing boundary, in any space dimension. We first show, at the theoretical level, that the convergence towards equilibrium heavily depends on the initial data and on the time evolution law of the vessel. Subsequently, we describe a numerical strategy to simulate the problem, based on a particle method implemented on general-purpose graphics processing units (GPGPU). We observe that the parallelisation procedure on GPGPU allows for a marked improvement of the performances when compared with the standard approach on CPU.
机译:我们考虑自由分子气体在具有吸收边界的随时间变化的容器中在任何空间尺寸中的长期行为。我们首先在理论层面上表明,趋于平衡的收敛在很大程度上取决于初始数据和船舶的时间演化规律。随后,我们基于在通用图形处理单元(GPGPU)上实现的粒子方法,描述了一种模拟该问题的数值策略。我们观察到,与CPU上的标准方法相比,GPGPU上的并行化程序可以显着改善性能。

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