Accelerating CFD via local POD plus Galerkin projection

Filippo Terragni (1)

1 Gregorio Millan Institute for Fluid Dynamics, Nanoscience and Industrial Mathematics, Universidad Carlos III de Madrid

Various methods involving local proper orthogonal decomposition (POD) and Galerkin projection are presented aiming at accelerating the numerical integration of nonlinear, time dependent, dissipative problems. The approach combines short runs with a given computational fluid dynamics (CFD) solver and low dimensional models constructed by appropriate POD modes, which adapt to the dynamics. Application to the approximation of transients in laminar fluid flows and bifurcation diagrams is discussed in terms of flexibility and efficiency.

Mots clés: computational fluid dynamics; proper orthogonal decomposition; reduced order models

Domaines: Analyse numérique [math.NA]; Mécanique [physics]; Sciences de l'ingénieur [physics]

Filippo Terragni. Accelerating CFD via local POD plus Galerkin projection. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. ⟨hal-00855835⟩