𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Eulerian codes for the numerical solution of the Vlasov equation

✍ Scribed by M. Shoucri

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
708 KB
Volume
13
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

A historical overview of Eulerian codes for the numerical solution of the Vlasov equation is presented, with special attention to characteristic methods. An evaluation of the performance of the cubic spline used for interpolation in the characteristic methods, with respect to other methods of interpolation, will be presented by comparing the solutions obtained by solving numerically different Vlasov-Poisson and Vlasov-Maxwell systems on a fixed Eulerian grid. Some recent developments of characteristic methods in two dimensions will be presented.

πŸ“œ SIMILAR VOLUMES

Conservative Numerical Schemes for the V
Conservative Numerical Schemes for the Vlasov Equation
✍ Francis Filbet; Eric SonnendrΓΌcker; Pierre Bertrand πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 314 KB

A new scheme for solving the Vlasov equation using a phase space grid is proposed. The algorithm is based on the conservation of the flux of particles, and the distribution function is reconstructed using various techniques that allow control of spurious oscillations or preservation of the positivit