can you help me answer this question please. Calculate the x-momentum fluxes for the cell 2, 2. Use the x-momentum convective flux as fx = uu.Number the cell faces clockwise from k=1 representing the interface to cell 2, 3. Consider the 2-D incompressible, invisicid Navier-Stokes equation in the horizontal plane. Recall thatthe momentum equations are simply solving the transport of the velocity on a frozen velocity field.Use a finite volume method on a structured grid numbered i, j with uniform h = 0.3 in x and y, asshown in Fig. 4. Use typical numbering, e.g. uż,¡ refers to the solution for the i-th point in the x-,andj-th point in the y-direction.Ayi-1,j+1 i,j+1=i-1,ji+1,j+1Xi,j i+1,ji-1,j-1 i,j-1 i+1,j-1Figure 4: Two-dimensional grid with equal spacing.The fluid has a density of 1000 kg. Use first-order upwinding for the fluxes.The pressure field of the initial solution is taken as uniform pij 0.=Assume that you have computed the first step of the SIMPLE scheme from an initial solution, and theresulting velocity field u* is given by the components u = [u, v]T with u₁,j 1.1, U2,5 = 1.5, U3,j = 2.5for all j except cell 2, 2, and ui,1[2, 0.6] ¹.0.3, ui,2 = 0.5, Uį,3== 0.8 for all i except cell 2, 2. In cell 2,2 thevelocity is u2,2 =-

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Consider the 2-D incompressible, invisicid Navier-Stokes equation in the horizontal plane. Recall that the momentum equations are simply solving the transport of the velocity on a frozen velocity field. Use a finite volume method on a structured grid numbered i, j with uniform h = 0.3 in x and y, as shown in Fig. 4. Use typical numbering, e.g. ujj refers to the solution for the i-th point in the x-, and j-th point in the y-direction.

Consider the 2-D incompressible, invisicid Navier-Stokes equation in the horizontal plane. Recall that the momentum equations are simply solving the transport of the velocity on a frozen velocity field. Use a finite volume method on a structured grid numbered i, j with uniform h = 0.3 in x and y, as shown in Fig. 4. Use typical numbering, e.g. ujj refers to the solution for the i-th point in the x-, and j-th point in the y-direction.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Consider the 2-D incompressible, invisicid Navier-Stokes equation in the horizontal plane. Recall that the momentum equations are simply solving the transport of the velocity on a frozen velocity field. Use a finite volume method on a structured grid numbered i, j with uniform h 0.3 in x and y, as shown in Fig. 4. Use typical numbering, e.g. ui, refers to the solution for the i-th point in the x-, and j-th point in the y-direction. = i- 1,j+1 i,j+1 i-1,j i-1,j-1 X i,j i+1, j+1 i+1,j i,j-1 i+1,j-1 Figure 4: Two-dimensional grid with equal spacing. The fluid has a density of 1000 kg. Use first-order upwinding for the fluxes. The pressure field of the initial solution is taken as uniform pij = 0. Assume that you have computed the first step of the SIMPLE scheme from an initial solution, and the resulting velocity field u* is given by the components u = [u, v]T with u₁.j = 1.1, U2,j 1.5, U3,j = 2.5 for all j cell 2, 2, and u₁,1 = 0.3, ui,2 = 0.5, U₁,3 = 0.8 for all i except cell 2, 2. In…
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