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Projection-Method with grid generated via Thompson algorithm (stretching function)

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Yesterday, 00:08	Projection-Method with grid generated via Thompson algorithm (stretching function)	#1
stefanbj New Member Stefan Bjornsson Join Date: Apr 2013 Posts: 7 Rep Power: 2	Hi all, I'm trying to implement the projection method on a flow past a cylinder problem. I have generated a grid for the cylinder via Thompson algorithm of the Poisson equations. Therefore the grid is (very) stretched and curvilinear. When I descretize the NS equations, what is the appropriate stretching function I should use? For example, for $x=x(\xi,\eta)$ $\frac{du}{dx} = \frac{du}{d\eta}\frac{d\eta}{dx}+ \frac{du}{d\xi}\frac{d\xi}{dx}$ what is the appropriate expression for $\frac{d\eta}{dx},\frac{d\xi}{dx}$ ?

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