The figure below comes from a study of under-resolved computations of periodic shear layers using a Godunov/Projection method. Of major interest is the presence of spurious vortices, which, once they have appeared, become indistinguishable from the true physical vortices in the flow. Continuing research on this problem has shown that this phenomenon is not restricted to the Godunov/Projection method but rather is a feature of a wide variety of numerical approaches including spectral, ENO, and centered-difference methods. In fact, all methods tested so far exhibit similar types of behavior, thus it is of major importance to be able to identify and if possible elminate the cause of these sorts of effects in numerical simulations.
Performance of Under-resolved Two-Dimensional Incompressible Flow
Journal of Computational Physics, in submission
by Michael L. Minion and David L. Brown
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