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Computation Fluid Dynamics (MESISI480725)

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The hybrid scheme is: 

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In the case of simple diffusion problems the relation between nodal coefficients is:

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Diffusion is a transport phenomena 

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During the discretisation step of the difusion term, the fluxes are approximated by using:

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Assuming a convection-diffusion problem where the velocity is in the negative direction (to the left side). Using the upwind scheme:

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The integration of the steady continuity equation yields to:

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