A conservative phasespace movinggrid strategy for a 1D2V VlasovFokkerPlanck Equation
Abstract
We develop a conservative phasespace gridadaptivity strategy for the VlasovFokkerPlanck equation in a planar geometry. The velocityspace grid is normalized to the thermal speed and shifted by the bulkfluid velocity. The configurationspace grid is moved according to a meshmotionpartialdifferential equation (MMPDE), which equidistributes a monitor function that is inversely proportional to the gradientlength scales of the macroscopic plasma quantities. The grid adaptation ensures discrete conservation of the collisional invariants (mass, momentum, and energy). The conservative gridadaptivity strategy provides an efficient scheme which resolves important physical structures in the phasespace while controlling the computational complexity at all times. We demonstrate the favorable features of the proposed algorithm through a set of test cases of increasing complexity.
 Publication:

arXiv eprints
 Pub Date:
 March 2019
 DOI:
 10.48550/arXiv.1903.05467
 arXiv:
 arXiv:1903.05467
 Bibcode:
 2019arXiv190305467T
 Keywords:

 Physics  Plasma Physics;
 Physics  Computational Physics
 EPrint:
 31 pages, 12 figures. arXiv admin note: text overlap with arXiv:1709.04502