A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue BIT Numerical Mathematics Année : 2023

A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems

Résumé

A novel second order family of explicit stabilized Runge--Kutta--Chebyshev methods for advection--diffusion--reaction equations is introduced. The new methods outperform existing schemes for relatively high Peclet number due to their favorable stability properties and explicitly available coefficients. The construction of the new schemes is based on stabilization using second kind Chebyshev polynomials first used in the construction of the stochastic integrator SK-ROCK. An adaptive algorithm to implement the new scheme is proposed. This algorithm is able to automatically select the suitable step size, number of stages, and damping parameter at each integration step. Numerical experiments that illustrate the efficiency of the new algorithm are presented.
Fichier principal
Vignette du fichier
paperARKC.pdf (1.56 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03542086 , version 1 (25-01-2022)
hal-03542086 , version 2 (19-10-2022)

Identifiants

Citer

Ibrahim Almuslimani. A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. BIT Numerical Mathematics, 2023, 63 (1), pp.article n°3. ⟨10.1007/s10543-023-00945-3⟩. ⟨hal-03542086v2⟩
105 Consultations
85 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More