3.3 Verify whether or not the following difference representation for the continuity equation for a 2-D steady incompressible flow has the conservation property: (ui+1.j + Ui+1.j-1 – U;.j – U;,j-1) , (Vi+1,j – Vi+1,j-1). Ду + = 0 2Ax

Elements Of Electromagnetics
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3.3 Verify whether or not the following difference representation for the continuity equation for a 2-D steady incompressible flow has the conservation property: (u, 1.j + u;41.j-1 - u.; – 4j.j-1) (1,j – 41,j-1) 2 Ax Ay where u and v are the x and y components of velocity, respectively. 3.4 Repeat Prob. 3.3, for the following difference representation for the continuity equation: (4i+ 1,5 - Uj-1,) (u, j+1 - V,j-1) + 2 Ax 2 Ay

3.3 Verify whether or not the following difference representation for the continuity equation for a
2-D steady incompressible flow has the conservation property:
(u;+1,j + U;+1.j-1 – U;,j – U;,j-1) , (Vi+1,j – Vi+1,j-1)
Ду
2Ax
where u and v are the x and y components of velocity, respectively.
Transcribed Image Text:3.3 Verify whether or not the following difference representation for the continuity equation for a 2-D steady incompressible flow has the conservation property: (u;+1,j + U;+1.j-1 – U;,j – U;,j-1) , (Vi+1,j – Vi+1,j-1) Ду 2Ax where u and v are the x and y components of velocity, respectively.
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