Numerical methods for fast magnetoacoustic waves in solar coronal loops

Numerical methods for standing fast magnetoacoustic kink waves in an isothermal solar coronal slab with a field aligned flow are considered. Such waves are triggered impulsively by a velocity pulse that is initially launched in an ambient medium. The spatial and temporal signatures of these waves are determined by solving two-dimensional, ideal magnetohydrodynamic equations numerically. The Ramses code which resolves complex spatial structures by adopting an adaptive mesh refinement technique and shock-capturing capabilities is used. The numerical results show that spatial and temporal wave signatures are reminiscent to the recent observational findings.