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Well-balanced high resolution finite volume schemes for the simulation of wave propagation in three-dimensional non-isothermal stratified magneto-atmospheres

by F. G. Fuchs and A. D. McMurray and S. Mishra and K. Waagan

(Report number 2010-27)

Abstract
We consider propagation of waves in a stratied non-isothermal magnetic atmosphere. The situation of interest corresponds to waves in the outer solar (chromosphere and corona) and other stellar atmospheres. The waves are simulated by using a high-resolution, well-balanced finite volume based massively parallel code termed SURYA. Numerical experiments in both two and three space dimensions involving realistic temperature distributions and magnetic field configurations are described, and diverse phenomena like mode mixing, wave acceleration at the transition region, wave focusing due to the magnetic fields and movement of the transition region are highlighted. The numerical experiments illustrate the robustness of the new computational framework. In particular, we are able to report from a simulation based on observed magnetic fields and boundary conditions.

Keywords:

@Techreport{FMMW10_431,
  author = {F. G. Fuchs and A. D. McMurray and S. Mishra and K. Waagan},
  title = {Well-balanced high resolution finite volume schemes for the simulation of wave propagation in three-dimensional non-isothermal stratified magneto-atmospheres},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2010-27},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2010/2010-27.pdf },
  year = {2010}
}

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