Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations
Abstract
We introduce a WENO reconstruction based on Hermite interpolation both for semi-Lagrangian and finite difference methods. This WENO reconstruction technique allows to control spurious oscillations. We develop third and fifth order methods and apply them to non-conservative semi-Lagrangian schemes and conservative finite difference methods. Our numerical results will be compared to the usual semi-Lagrangian method with cubic spline reconstruction and the classical fifth order WENO finite difference scheme. These reconstructions are observed to be less dissipative than the usual weighted essentially non- oscillatory procedure. We apply these methods to transport equations in the context of plasma physics and the numerical simulation of turbulence phenomena.
Keywords
Cite
@article{arxiv.1312.4481,
title = {Conservative and non-conservative methods based on hermite weighted essentially-non-oscillatory reconstruction for Vlasov equations},
author = {Chang Yang and Francis Filbet},
journal= {arXiv preprint arXiv:1312.4481},
year = {2015}
}