A Comparison of the Potential And the Euler Formulations of the Equations of Mot

Cover A Comparison of the Potential And the Euler Formulations of the Equations of Mot
A Comparison of the Potential And the Euler Formulations of the Equations of Mot
Kevin Mcgrattan
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A boundary layer, shock, or sharp edge, a flow which is initially isentropic and irrotational remains that way. The modified Euler equations in this case can certainly be expected to yield the po- tential flow solution, and indeed they do. If, on the other hand, the computation 50 is initialized with a rotational flow, we only see the emergence of the irrotational solution after a sufficient number of iterations have been performed to diffuse the vorticity and wash it downstream.
We have comput
...ed solutions to the modified Euler equations for the flow past a circular cyhnder, initializing the computation with the incompressible flow which includes two symmetric point vortices in the wake. In terms of the complex coor- dinate 2 = X + iy, the complex potential of this flow is given by a 2 (6. 2)

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