Work

Explicit charge-conserving and modified energy-conserving PIC methods using the SAV approach

Year: 2026

Type: preprint

Abstract: We develop explicit second-order particle-in-cell (PIC) methods for the Vlasov--Ampère and Vlasov--Maxwell systems using the scalar auxiliary variable (SAV) approach. Two schemes are proposed for each system: a predictor-based scheme and a symmetric splitting scheme using a scaled electric field. The methods exactly preserve the discrete Gauss law and a modified total energy. Numerical experiments for electrostatic and electromagnetic problems demonstrate the expected dynamics as well as the conservation properties of both invariants.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.16028

Authors: Fan, Chengyu, Crouseilles, Nicolas, Hu, Jingwei

Institutions: University of Washington, Centre National de la Recherche Scientifique, Institut de recherche mathématique de Rennes, Université de Rennes, École Normale Supérieure de Rennes

Language: English

Topic: Numerical methods for differential equations

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, U.S. Department of Energy, EUROfusion, European Commission, Multidisciplinary University Research Initiative, Euratom Research and Training Programme

Awards: G115085052, Implementation of activities described in the Roadmap to Fusion during Horizon Europe through a joint programme of the members of the EUROfusion consortium, G2293481551, Dynamical Low Rank Methods for Multiscale Kinetic Plasma Simulations, G3562821882, G3905970827, ACED: Exploring Kinetic Physics in High-Temperature Plasmas via Low-Rank Computing Techniques -- Unraveling Atomic and Nuclear Reactions, G5946024249

OpenAlex ID: W7221813577

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