Numerical Method for Relativistic Vlasov Equation in Cartesian-Spherical Coordinate System

Abstract

Abstract: We study numerical method for relativistic Vlasov equation and present a scheme for computing Vlasov equation based on Cartesian-spherical coordinate system, which can be used to reduce number of numerical grid for momentum space. Furthermore, a 4th order non-splitting finite volume scheme is proposed in order to solve momentum parts of relativistic Vlasov equation. In test problems, especially relativistic Landau problem, laser-plasma interaction are solved by using the scheme. We confirm the scheme with theoretically analysis as well as numerical comparison with results of PIC method.

Key words: relativistic Vlasov equation, relativistic Landau damping, plasma

CLC Number:

ZHANG Hua, WU Sizhong, ZHOU Cangtao, HE Minqing, CAI Hongbo, CAO Lihua, ZHU Shaoping, HE Xiantu. Numerical Method for Relativistic Vlasov Equation in Cartesian-Spherical Coordinate System[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 34(5): 543-554.

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