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Q1 (50pts). We want to solve the following steady form of the general conservation equation using FVM (pov) ndA = (Vo) n dA +

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Q1 (50pts). We want to solve the following steady form of the general conservation equation using FVM (pov) ndA = (Vo) n dA + Q dn . on a uniform mesh, part of which is shown below. The velocities at the four faces of cell Pare specified as follows V = 2.41 - 0.87 V = 1.5i - 0.8j W V = 2.21-0.97 n V = 2.21 0.7] 21-0.7j - Other parameters are as follows Q = 100 NN N WWWPEEE S p = 1.5 r = 0.3 Ax = Ay = 0.1 SS Obtain the discretized equation for cell P by using central differencing for the diffusion term and Second Order Upwinding (SOU) scheme for the convection term. Determine the coefficient of each unknown in the equation and the known right hand side term.

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