Multidimensional Hall magnetohydrodynamics with isotropic or anisotropic thermal pressure: Numerical scheme and its validation using solitary waves
详细信息 查看全文
- 作者：Marek Strumika ; 1 ; mstrumik@gmail.com ; Krzysztof Stasiewiczb ; c
- 关键词：Hall magnetohydrodynamics ; Numerical methods ; Solitary waves ; Anisotropic pressure
- 刊名：Journal of Computational Physics
- 出版年：2017
- 出版时间：1 February 2017
- 年：2017
- 卷：330
- 期：Complete
- 页码：846-862
- 全文大小：3598 K
- 卷排序：330
文摘
We present a numerical solver for plasma dynamics simulations in Hall magnetohydrodynamic (HMHD) approximation in one, two and three dimensions. We consider both isotropic and anisotropic thermal pressure cases, where a general gyrotropic approximation is used. Both explicit energy conservation equation and general polytropic state equations are considered. The numerical scheme incorporates second-order Runge–Kutta advancing in time and Kurganov–Tadmor scheme with van Leer flux limiter for the approximation of fluxes. A flux-interpolated constrained-transport approach is used to preserve solenoidal magnetic field in the simulations. The implemented code is validated using several test problems previously described in the literature. Additionally, we propose a new validation method for HMHD codes based on solitary waves that provides a possibility of quantitative rigorous testing in nonlinear (large amplitude) regime as an extension to standard tests using small-amplitude whistler waves. Quantitative tests of accuracy and performance of the implemented code show the fidelity of the proposed approach.