This paper deals with the numerical modelling of corona discharges induced by electrohydrodynamic actuators. A specific numerical method is proposed and discussed to compute the multiscale nature observed in the modelling of corona discharges. The idea consists in a domain decomposition of the computational domain where each subdomain is described with a specific modelling well adapted to the p...

Bound-constrained minimization is a subject of active research. To assess the performance of existent solvers, numerical evaluations and comparisons are carried on. Arbitrary decisions that may have a crucial effect on the conclusions of numerical experiments are highlighted in the present work. As a result, an evaluation framework based on performance profiles is developed and applied to the c...

A fluid mixture model of tissue deformations has been studied in this paper. The model is a mixed system of nonlinear hyperbolic and elliptic partial differential equations. Both theoretical linear stability and numerical analysis are presented. Comparisons between standard numerical methods that utilize Runge-Kutta methods coupled with the WENO scheme and the immersed interface methods are giv...

The lifetimes of electrons trapped in Earth’s radiation belts can be calculated from quasi-linear pitch-angle diffusion by whistler-mode waves, provided that their frequency spectrum is broad enough and/or their average amplitude is not too large. Extensive comparisons between i proved analytical lifetime estimates and full numerical calculations have been performed in a broad parameter range r...