Convergence results for the vector penalty-projection and two-step artificial compressibility methods
Langue
en
Article de revue
Ce document a été publié dans
Discrete and Continuous Dynamical Systems - Series B. 2012-07, vol. 17, n° 5, p. pp. 1383--1405, communicated by Roger Temam
American Institute of Mathematical Sciences
Résumé en anglais
In this paper, we propose and analyze a new artificial compressibility splitting method which is issued from the recent vector penalty-projection method for the numerical solution of unsteady incompressible viscous flows ...Lire la suite >
In this paper, we propose and analyze a new artificial compressibility splitting method which is issued from the recent vector penalty-projection method for the numerical solution of unsteady incompressible viscous flows introduced in [1], [2] and [3]. This method may be viewed as an hybrid two-step prediction-correction method combining an artificial compressibility method and an augmented Lagrangian method without inner iteration. The perturbed system can be viewed as a new approximation to the incompressible Navier-Stokes equations. In the main result, we establish the convergence of solutions to the weak solutions of the Navier-Stokes equations when the penalty parameter tends to zero.< Réduire
Mots clés en anglais
Artificial compressibility
Navier-Stokes equations
Vector penalty-projection
Pseudo-compressibility
Penalty method
Origine
Importé de halUnités de recherche