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I'm for the first time trying to model using the Navier-Stokes equations.

I want to model a 2D problem where I have an incompressible, non viscous fluid. I have a region (a segment of line) where a force is applied to the fluid.

For example: a rectangular box with size 2L x L. In a line at x=L (or some other point) with height (L/4) a constant force is applied to the fluid.

How could I model this?

I suppose I could use the static regime, and model this force as a pressure gradient at the line?

But how?

setting /rho = 1, and assuming the solution doesn't depend on time,

v . grad(v) = - grad (p)

is this a good way to go? what can I do with this equation? Should I use the force term in the equation instead of a pressure gradient?

I would say this problem is similar to having 2 close conducting plates (or lines) with opposite charges and finding the electric field / current density.

Any thoughts / ideas?

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# Simple Navier-Stokes

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