Relative Velocity--Moving Reference Frame

Is there any way to display relative velocities either as vector arrows or on a color map?

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Create a new Vector Field

You can create a new Vector Field using New->Result. The formula to create the relative velocity field is:

U - (omega x (XYZ - origin))

where U and XYZ are existing Vector Fields, omega is a new vector variable for your angular velocity, origin is a new vector variable for the origin of your coordinate system, and 'x' is the cross product operator.

For an example of creating new results see the tutorial "Fluid Flow Around a Sphere: Theory Comparison".