@Article{CiCP-7-3,
author = {},
title = {Finite Volume Methods for Wave Propagation in Stratified Magneto-Atmospheres},
journal = {Communications in Computational Physics},
year = {2010},
volume = {7},
number = {3},
pages = {473--509},
abstract = {<p style="text-align: justify;">We present a model for simulating wave propagation in stratified magneto-atmospheres.
The model is based on equations of ideal MHD together with gravitational
source terms. In addition, we present suitable boundary data and steady states
to model wave propagation. A finite volume framework is developed to simulate the
waves. The framework is based on HLL and Roe type approximate Riemann solvers
for numerical fluxes, a positivity preserving fractional steps method for discretizing
the source and modified characteristic and Neumann type numerical boundary conditions.
Second-order spatial and temporal accuracy is obtained by using an ENO piecewise
linear reconstruction and a stability preserving Runge-Kutta method respectively.
The boundary closures are suitably modified to ensure mass balance. The numerical
framework is tested on a variety of test problems both for hydrodynamic as well as
magnetohydrodynamic configurations. It is observed that only suitable choices of HLL
solvers for the numerical fluxes and balanced Neumann type boundary closures yield
stable results for numerical wave propagation in the presence of complex magnetic
fields.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2009.08.154},
url = {https://global-sci.com/article/80990/finite-volume-methods-for-wave-propagation-in-stratified-magneto-atmospheres}
}