Augmented Lagrangian method and open boundary conditions in 2D simulation of Poiseuille-Bénard channel flow

Xavier Nicolas (1) , Philippe Traoré (1) , Abdelkader Mojtabi (1) , Jean-Paul Caltagirone (2)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 MASTER - Laboratoire Modélisation avancée des systèmes thermiques et écoulements réels

The main objective of this study is to compare the influence of different boundary conditions upon the incompressible Poiseuille –Bénard channel flow (PBCF) in a 2D rectangular duct heated from below. In a first technical part the algorithm used to carry out this work, based on the augmented Lagrangian method, is presented. The implementation details of the five different open boundary conditions (OBCs) and the periodic boundary conditions (PBCs) tested in the present paper are also given. The study is then carried out for 1800

Mots clés: Open boundary conditions; Poiseuille-Bénard flow; Augmented Lagrangian; Thermal instabilities; Open boundary conditions

Domaines: Mécanique des fluides [physics.class-ph]; Physique [physics]; Sciences de l'ingénieur [physics]

Xavier Nicolas, Philippe Traoré, Abdelkader Mojtabi, Jean-Paul Caltagirone. Augmented Lagrangian method and open boundary conditions in 2D simulation of Poiseuille-Bénard channel flow. International Journal for Numerical Methods in Fluids, 1997, 25 (3), pp.265-283. ⟨10.1002/(SICI)1097-0363(19970815)25:3<265::AID-FLD548>3.0.CO;2-B⟩. ⟨hal-01946113⟩