Free-surface flow past arbitrary topography and an inverse approach for wave-free solutions


Autoria(s): Binder, Benjamin J.; Blyth, Mark G.; McCue, Scott W.
Data(s)

2013

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

http://eprints.qut.edu.au/58567/

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