Analysis of two-dimensional cavity flow by finite elements

DOI10.1007/BF01895385zbMath0578.76017OpenAlexW2000349405MaRDI QIDQ1066746

Xieqing Xu, Binyao Lin

Publication date: 1985

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01895385

zbMATH Keywords

finite element methodtotal energyFroude numberunique solutionvariable domainair-filled cavity flowcavity lengthcavity pressurechannel bottom slopedifferent transversal conditionsfirst-order variationfree surface gravity flowgiven dischargevariational principle in terms of stream function

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Other variational principles in mechanics (70H30) Basic methods in fluid mechanics (76M99)

Cites Work

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• Variable domain finite element analysis of free surface gravity flow
• A variational principle in terms of stream function for free surface flows and its application to the finite element method

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