Space-time separated representation for solving Navier-Stokes equations

Guang Tao Xu (1) , Michel Visonneau (2) , Adrien Leygue (1) , Francisco Chinesta (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 LHEEA - Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique

The Proper Generalized Decomposition (PGD) method has been used to solve many kinds of problem in multi-dimensional spaces: quantum chemistry, kinetic theory description of complex uid and chemical master equations, etc...The interested reader can refer to [1] for a recent review in the context of computational rheology. The present work describes a first implementation of the PGD formulation into a general unstructured finite-volume unsteady Navier-Stokes solver dedicated to viscous ship hydrodynamics (ISIS-CFD [2]).

Mots clés: PGD; space-time separation; Navier-Stokes; incompressible; unstructured finite volume

Domaines: Mécanique des fluides [physics.class-ph]; Analyse numérique [math.NA]

Guang Tao Xu, Michel Visonneau, Adrien Leygue, Francisco Chinesta. Space-time separated representation for solving Navier-Stokes equations. 11th World Congress on Computational Mechanics (WCCM XI), 5th European Conference on Computational Mechanics (ECCM V), 6th European Conference on Computational Fluid Dynamics (ECFD VI), Jul 2015, Barcelone, Spain. ⟨hal-01207179⟩