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Consider convection and diffusion in a two-dimensional domain governed by the transport equation: a x a () + (pvp) = (rap) + x Derive

Consider convection and diffusion in a two-dimensional domain governed the transport equation by Derive the above 2-D transport equation into the discretization form by using finite volume method as discussed in class and define the discretization form by using the first-order up. winding discretization scheme (i.e., organize the discretization equation into the following form and define the coefficients (ap, aE, a aN, as) in the equation). t 1

Consider convection and diffusion in a two-dimensional domain governed by the transport equation: a x a () + (pvp) = (rap) + x Derive the above 2-D transport equation into the discretization form by using finite volume method as discussed in class and define the discretization form by using the first-order up- winding discretization scheme (i.e., organize the discretization equation into the following form and define the coefficients (ap, ag, aw, aN, as) in the equation). apopagE + awow + aNON + ass = N N N +1 . . +(r) Lx N n W P 200%

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