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-Description of the configuration for the application of section 4.1 (Von Karman vortex shedding street). The horizontal (respectively vertical) dimension of the channel is 40m (respectively 10m). The solid disk is centered at x = (10, 5) and has a diameter D = 1m. The boundary conditions are inflow v = (1, 0) on Γ IN , outflow σ · n = 0 on Γ OUT (with σ the Cauchy stress tensor and n the outward normal unit vector on the boundary), slip condition v · n = 0 on Γ SLIP and no-slip condition v = (0, 0) on the disk boundary.
Source publication
The interpolation on Grassmann manifolds in the framework of parametric evolution partial differential equations is presented. Interpolation points on the Grassmann manifold are the subspaces spanned by the POD bases of the available solutions corresponding to the chosen parameter values. The well-known Neville-Aitken's algorithm is extended to Gra...
Contexts in source publication
Context 1
... we consider the planar flow of an incompressible newtonian fluid around a solid disk in a channel. The configuration is shown in figure 1. The HDM is derived by a standard variational formulation of the adimensional Navier-Stokes equations over the Taylor-Hood finite-elements space (P2 for velocity and P1 for the pressure). ...
Context 2
... we consider the planar flow of an incompressible newtonian fluid around a solid disk in a channel. The configuration is shown in figure 1. The HDM is derived by a standard variational formulation of the adimensional Navier-Stokes equations over the Taylor-Hood finite-elements space (P2 for velocity and P1 for the pressure). ...
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