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A finite-element study of the onset of vortex shedding in flow past variously shaped bodies. (English) Zbl 0639.76041
This paper examines the onset of periodic behavior in two-dimensional laminar flow past bodies of various shapes. The steady equations of motion are transformed into a set of nonlinear algebraic equations by means of a finite element method. These nonlinear equations are solved by Newton-ta solutions are shown to exist for a time interval dependent of \(\lambda\), a parameter proportional to the ion acoustic speed. For such data, solutions of (Z) converge as \(\lambda\to \infty\) to a solution of the cubic nonlinear Schrödinger equation \(iE_ t+\Delta E+| E|^ 2E=0\). We consider both weak and strong solutions. For the case of strong solutions the results are analogous to previous results on the incompressible limit of compressible fluids.

76D25 Wakes and jets
76E99 Hydrodynamic stability
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