Well-balanced schemes for two types of (1 + 1)-dimensional kinetic models are set up relying on scattering matrices derived from the explicit so-called elementary solutions of the corresponding stationary equations. A "matrix balancing" (or "matrix equilibration") technique is evoked to ensure the overall mass (and positivity) preservation. The first model is a simplification of edge plasma dynamics close to a wall, like a tokamak divertor, whereas the second one is essentially a rewriting of the Anderson-Witting Bhatnagar-Gross-Krook (BGK) model of relativistic Boltzmann equation for example, photons. Numerical results on coarse grids are provided to illustrate the feasibility of the algorithms.
Well-Balanced Schemes Based on Elementary Solutions for Kinetic Models of Ionized or Ultra-Relativistic Gas
Gosse L
2015
Abstract
Well-balanced schemes for two types of (1 + 1)-dimensional kinetic models are set up relying on scattering matrices derived from the explicit so-called elementary solutions of the corresponding stationary equations. A "matrix balancing" (or "matrix equilibration") technique is evoked to ensure the overall mass (and positivity) preservation. The first model is a simplification of edge plasma dynamics close to a wall, like a tokamak divertor, whereas the second one is essentially a rewriting of the Anderson-Witting Bhatnagar-Gross-Krook (BGK) model of relativistic Boltzmann equation for example, photons. Numerical results on coarse grids are provided to illustrate the feasibility of the algorithms.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
