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Spectral Element DG and the Convection Diffusion Equation

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Old   June 30, 2012, 18:35
Default Spectral Element DG and the Convection Diffusion Equation
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saumil patel
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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. \nabla \bullet(\vec{u}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}T term?

Thanks for your help.

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