New solutions of the Navier–Stokes equations associated with flow above moving boundaries
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DOI: 10.1007/s00707-017-1919-z
Abstract: Four problems are conceived which build on flows induced by moving boundaries. In the first problem, a stretching plate moves in the direction of stretching at speed $$u_0$$u0 and in the transverse direction at speed… read more here.
Keywords: shear flow; uniform shear; new solutions; problem ... See more keywords
A frequency domain method for scattering problems with moving boundaries
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DOI: 10.1016/j.wavemoti.2021.102717
Abstract: We propose a multi-harmonic numerical method for solving wave scattering problems with moving boundaries, where the scatterer is assumed to move smoothly around an equilibrium position. We first develop an analysis to justify the method… read more here.
Keywords: frequency domain; domain method; method; problems moving ... See more keywords
Water waves with moving boundaries
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2017.681
Abstract: The unified transform, also known as the Fokas method, provides a powerful methodology for studying boundary value problems. Employing this methodology, we analyse inviscid, irrotational, two-dimensional water waves in a bounded domain, and in particular… read more here.
Keywords: methodology; waves moving; long waves; moving boundaries ... See more keywords