We consider the linear problem of the steady flow past a submerged hollow of rectangular shape. The fluid is assumed to be inviscid and incompressible and the problem is posed in term of a perturbed stream function vanishing at infinity. By introducing a suitable variational form of the problem, we discuss unique solvability in the case of a supercritical stream at infinity and find sufficient conditions on the hollow’s size for the existence of non trivial solutions of the homogenous problem (trapped modes).
Uniqueness and trapped modes in the linear problem of the steady flow over a submerged hollow
PIEROTTI, DARIO GIANCARLO
2006-01-01
Abstract
We consider the linear problem of the steady flow past a submerged hollow of rectangular shape. The fluid is assumed to be inviscid and incompressible and the problem is posed in term of a perturbed stream function vanishing at infinity. By introducing a suitable variational form of the problem, we discuss unique solvability in the case of a supercritical stream at infinity and find sufficient conditions on the hollow’s size for the existence of non trivial solutions of the homogenous problem (trapped modes).File in questo prodotto:
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