A Reduced MHD Turbulence Numerical Approach On Coronal Loop Heating: Deriving Scaling Laws
Abstract
We have carried out incompressible 2D Reduced MHD simulations to extensively investigate the long time statistical behavior of a coronal loop subject to magnetic forcing. We are interested in particular in studying how dissipation and evolution of the 2D system depends on the time scales accociated with the photospheric forcing. Our simulations of the average energy dissipation and the spectral and spatial distribution at a given time demonstrate the self-organization of the loop at large scales via an inverse MHD cascade, the highly intermittent response of the system indicated by strong peaks in the power dissipation and the strong nonlinearity of the effect. To quantify the nonlinearity of the response we derive for the time constant case scaling laws against resistivity of the difference between the numerical solution and the linear approximation as well as of the time it takes the system to reach the peak after exceeding the linear approximation solution. We finally compare the results with the full time dependent forcing case and discuss the implications.
- Publication:
-
Second Solar Orbiter Workshop
- Pub Date:
- January 2007
- Bibcode:
- 2007ESASP.641E..78R