Natural convection in 3D irregular domain

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The classical De Vahl Davis natural convection test can be extended to 3D All spatial operators are discretized using RBF-FD with r^3 PHS radial basis functions, augmented with monomials up to order 2, with the closest 25 nodes used as a stencil. For the time discretization time step \Delta t=10^{-3} was used for all cases. Nodal distance h=0.01 is used for simulations in 2D and h=0.25 for simulations in 3D. Boundaries with Neumann boundary conditions are additionally treated with ghost nodes Ghost nodes (theory).

DVD 3D irreg.pngDVD 3D.png