June 30, 2012, 17:35
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Spectral Element DG and the Convection Diffusion Equation
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#1
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New Member
saumil patel
Join Date: Jun 2012
Posts: 1
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Hello,
I'm trying to solve the Convection Diffusion equation for the well known Natural Convection in a 2D square cavity problem (insulated top and bottom, Hot Temp and Cold temp on the Left and Right walls). I'm using a spectral element Discontinuous Galerkin method. I am treating the advection term in a flux form (i.e. ![\bullet \bullet](/Forums/vbLatex/img/71976219fb1234a4f2ba6bef7a046183-1.gif) ( ![\vec{u} \vec{u}](/Forums/vbLatex/img/710172fefd740810cfe777d4423f2bc9-1.gif) T) ). I am also using a central flux for the numerical flux that arises from the doing the weak formulation. Any ideas or references(other than Warburton/Hesthaven) that could me formulate the right form for the boundary condition for the ![\vec{u} \vec{u}](/Forums/vbLatex/img/710172fefd740810cfe777d4423f2bc9-1.gif) T term?
Thanks for your help.
Saumil
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