scholarly journals Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients

2010 ◽  
Vol 42 (6) ◽  
pp. 2539-2553 ◽  
Author(s):  
Song Jiang ◽  
Qiangchang Ju ◽  
Fucai Li
Keyword(s):  
Incompressible Limit ◽  
Magnetohydrodynamic Equations ◽  
Vanishing Viscosity ◽  
Viscosity Coefficients

Linear Visco-Resistive Computations of Magnetohydrodynamic Waves: I. The Code and Test Cases

1994 ◽  
Vol 144 ◽  
pp. 503-505
Author(s):  
R. Erdélyi ◽  
M. Goossens ◽  
S. Poedts
Keyword(s):  
Resonant Absorption ◽  
Numerical Code ◽  
Mhd Waves ◽  
Test Cases ◽  
Numerical Accuracy ◽  
Element Discretization ◽  
Flux Tubes ◽  
Magnetohydrodynamic Waves ◽  
Viscosity Coefficients ◽  
Magnetic Flux Tubes

AbstractThe stationary state of resonant absorption of linear, MHD waves in cylindrical magnetic flux tubes is studied in viscous, compressible MHD with a numerical code using finite element discretization. The full viscosity tensor with the five viscosity coefficients as given by Braginskii is included in the analysis. Our computations reproduce the absorption rates obtained by Lou in scalar viscous MHD and Goossens and Poedts in resistive MHD, which guarantee the numerical accuracy of the tensorial viscous MHD code.

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