Approximate solutions of the two-dimensional Navier-Stokes equation can be constructed as a superposition of viscous Lamb vortices. Requiring minimum deviation from the Navier-Stokes equation, one gets a set of ordinary differential equations for the positions, strength and width of the vortices. We calculate the deviation of the solution from the Navier-Stokes equation in the square norm. The time dependence of this error is determined and discussed.
机构:
Univ Paris Est, LAMA UMR 8050, Fac Sci & Technol, F-94010 Creteil, FranceUniv Paris Est, LAMA UMR 8050, Fac Sci & Technol, F-94010 Creteil, France
Fournier, Nicolas
Hauray, Maxime
论文数: 0引用数: 0
h-index: 0
机构:
Univ Aix Marseille, CNRS, Cent Marseille, LATP,UMR 7353, F-13453 Marseille, FranceUniv Paris Est, LAMA UMR 8050, Fac Sci & Technol, F-94010 Creteil, France
Hauray, Maxime
Mischler, Stephane
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris 09, CEREMADE UMR 7534, F-75775 Paris 16, FranceUniv Paris Est, LAMA UMR 8050, Fac Sci & Technol, F-94010 Creteil, France