弗拉索夫-泊松方程的数值流迭代

IF 4.3 3区材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

ACS Applied Electronic Materials Pub Date : 2024-06-10 DOI:10.1137/23m154710x

Matthias Kirchhart, R. Paul Wilhelm

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引用次数: 0

摘要

SIAM 科学计算期刊》，第 46 卷第 3 期，第 A1972-A1997 页，2024 年 6 月。摘要我们介绍了求解 Vlasov-Poisson 方程的数值流迭代（NuFI）。在本文后面说明的一定意义上，NuFI 提供了分布函数的无限分辨率。NuFI 精确地保留了正性、所有[math]-norms、电荷和熵。数值实验表明没有能量漂移。此外，与传统方法相比，NuFI 所需的内存要少几个数量级，而且可以在 GPU 集群上高效并行处理。低保真模拟可在较长时间内提供良好的定性结果，并可在低成本工作站上进行计算。

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The Numerical Flow Iteration for the Vlasov–Poisson Equation

SIAM Journal on Scientific Computing, Volume 46, Issue 3, Page A1972-A1997, June 2024.
Abstract. We present the numerical flow iteration (NuFI) for solving the Vlasov–Poisson equation. In a certain sense specified later herein, NuFI provides infinite resolution of the distribution function. NuFI exactly preserves positivity, all [math]-norms, charge, and entropy. Numerical experiments show no energy drift. Furthermore NuFI requires several orders of magnitude less memory than conventional approaches, and can very efficiently be parallelized on GPU clusters. Low fidelity simulations provide good qualitative results for extended periods of time and can be computed on low-cost workstations.

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来源期刊

ACS Applied Electronic Materials Multiple-

CiteScore

7.20

自引率

4.30%

发文量

567