Numerical Schemes of Diffusion Asymptotics and Moment Closures for Kinetic Equations
Journal of Scientific Computing
A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs
Journal of Computational Physics
A conservative high order semi-Lagrangian WENO method for the Vlasov equation
Journal of Computational Physics
Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
An Eulerian-Lagrangian WENO finite volume scheme for advection problems
Journal of Computational Physics
Hybrid semi-Lagrangian finite element-finite difference methods for the Vlasov equation
Journal of Computational Physics
A semi-Lagrangian AMR scheme for 2D transport problems in conservation form
Journal of Computational Physics
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We demonstrate the ability of nonoscillatory interpolation strategies for solving efficiently the transport phase in kinetic systems with applications to charged particle transport in plasmas and semiconductors. Pointwise weighted essentially nonoscillatory (PWENO) interpolation is applied to obtain semi-Lagrangian and flux balance methods that together with splitting techniques form the building blocks of our numerical approach. These methods do not present the restrictive CFL condition typical of finite-difference methods with explicit time-solvers, and, moreover, they provide reliable results controlling parasite oscillations from classical polynomial interpolation while giving highly accurate approximations of smooth parts of the solutions. We perform and compare these methods in different benchmark problems for Vlasov or collisional models for charged particle transport.