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Now we can proceed to create the geometry for radius of influence. Since both the cylinder and radius of influence is of same shape. We can create the radius of influence by copying and scaling up the cylinder.

Create arc  of radius 4 from -45 to 45 deg. Then create another arc from 45 to 45 deg. 

Operation Toolpad > Geometry Command Button Image Added > Edge Command Button Image Added > Create Edge Image Added > Arc Image Added > Image Added

Finally split the edge at 90 and -90 deg. 

Operation Toolpad > Geometry Command Button > Edge Command Button > Move/Copy Edges Image Removed
Select the cylinder edges. Make sure that the Copy is checked. Under Operation, select Scale. Next to Factor, enter a value of 4. This means that the radius of influence we create will be 4 times the size of the cylinder.

The current geometry should look like this:

Image Removed
 

editor NOTE (duplicate vertices created...)

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Split Edge Image Added

Remember to change the coordinate Type to Cylindrical.

Split Edge at Outer Boundary

For regular mesh, each edge has its opposite edge. Because of this, we can use projection method on the outer boundary to create the edge associated with the Radius of Influence edges. 

Operation Toolpad > Geometry Command Button Image Added > Vertex Command Button Image Added > Image Added

Create Upstream Boundary

We will first create the semi-circle upstream boundary. 

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