Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions
Data(s) |
2013
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Resumo |
An efficient numerical method to compute nonlinear solutions for two-dimensional steady free-surface flow over an arbitrary channel bottom topography is presented. The approach is based on a boundary integral equation technique which is similar to that of Vanden-Broeck's (1996, J. Fluid Mech., 330, 339-347). The typical approach for this problem is to prescribe the shape of the channel bottom topography, with the free-surface being provided as part of the solution. Here we take an inverse approach and prescribe the shape of the free-surface a priori while solving for the corresponding bottom topography. We show how this inverse approach is particularly useful when studying topographies that give rise to wave-free solutions, allowing us to easily classify eleven basic flow types. Finally, the inverse approach is also adapted to calculate a distribution of pressure on the free-surface, given the free-surface shape itself. |
Formato |
application/pdf |
Identificador | |
Publicador |
Oxford University Press |
Relação |
http://eprints.qut.edu.au/58567/1/IMA_Binder_Blyth_McCue.pdf DOI:10.1093/imamat/hxt015 Binder, Benjamin J., Blyth, Mark G., & McCue, Scott W. (2013) Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions. IMA Journal of Applied Mathematics, 78(4), pp. 685-696. |
Direitos |
Copyright 2013 Oxford University Press Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved. |
Fonte |
Institute for Future Environments; School of Mathematical Sciences; Science & Engineering Faculty |
Palavras-Chave | #010207 Theoretical and Applied Mechanics #free-surface flow #flow over bottom topography #conformal mapping #boundary integral method #potential flow #wave-free flows |
Tipo |
Journal Article |