Difference between revisions of "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
 
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 $25$
 
functions, augmented with monomials up to order $2$, with the closest $25$
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$\Delta t=10^{-3}$ was used for all cases. Nodal distance $h=0.01$ is used for
 
$\Delta t=10^{-3}$ 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
 
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)]].
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boundary conditions are additionally treated with ghost nodes [[Ghost nodes (theory)]].
  
 
[[File:DVD_3D_irreg.png|400px]][[File:DVD_3D.png|400px]]
 
[[File:DVD_3D_irreg.png|400px]][[File:DVD_3D.png|400px]]

Revision as of 16:21, 18 May 2019

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