A Local Macroscopic Conservative (LoMaC) Low Rank Tensor Method for the Vlasov Dynamics

• Published in: Journal of scientific computing Vol. 101; no. 3; p. 61
• Main Authors: Guo, Wei, Qiu, Jing-Mei
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.12.2024; Springer Nature B.V; Springer Science + Business Media
• Subjects: Algorithms; Approximation; Computational Mathematics and Numerical Analysis; Conservation; Energy conservation; Flux vector splitting; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematics; Mathematics and Statistics; Momentum; Simulation; Singular value decomposition; Tensors; Theoretical; Hierarchical Tucker decomposition of tensors; Vlasov Dynamics; Energy conservation; Low rank; Conservative SVD; LoMaC

In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor method for simulating the Vlasov-Poisson (VP) system. The LoMaC property refers to the exact local conservation of macroscopic mass, momentum and energy at the discrete level. This is a follow-up work of our pre...