Modelling turbulent flow from dam break using slow manifolds
Article
Georgiev, D. J., Roberts, A. J. and Strunin, D. V.. 2009. "Modelling turbulent flow from dam break using slow manifolds ." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 50 (S), pp. C1033-C1051.
| Article Title | Modelling turbulent flow from dam break using slow manifolds |
|---|---|
| ERA Journal ID | 43 |
| Article Category | Article |
| Authors | Georgiev, D. J. (Author), Roberts, A. J. (Author) and Strunin, D. V. (Author) |
| Journal Title | Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
| Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal | |
| Journal Citation | 50 (S), pp. C1033-C1051 |
| Number of Pages | 19 |
| Year | 2009 |
| Place of Publication | Cambridge, United Kingdom |
| ISSN | 1446-1811 |
| 1446-8735 | |
| Web Address (URL) | http://anziamj.austms.org.au/ojs/index.php/ANZIAMJ/article/view/1466 |
| Abstract | [Abstract]: We present a novel approach based on centre manifold technique to describe the dynamics of the mean turbulent velocity of dam-break flow. We avoid empirical assumptions about the cross-stream profile of the velocity; instead solution is obtained using free surface and bed boundary conditions that accommodate constant turbulent shear as a |
| Keywords | dam break, modelling, slow manifolds |
| ANZSRC Field of Research 2020 | 419999. Other environmental sciences not elsewhere classified |
| 490199. Applied mathematics not elsewhere classified | |
| 490105. Dynamical systems in applications | |
| Public Notes | © Australian Mathematical Society 2009. Open access journal. This publication is copyright. It may be reproduced in whole or in part for the purposes of study, research, or review, but is subject to the inclusion of an acknowledgment of the source. Author's version deposited in accordance with the copyright policy of the publisher. |
| Byline Affiliations | Commonwealth Scientific and Industrial Research Organisation (CSIRO), Australia |
| University of Adelaide | |
| Computational Engineering and Science Research Centre |
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Melnik, R. V. N., Roberts, A. J. and Thomas, K. A.. 2001. "Coupled thermomechanical dynamics of phase transitions in shape memory alloys and related hysteresis phenomena." Mechanics Research Communications. 28 (6), pp. 637-651. https://doi.org/10.1016/S0093-6413(02)00216-1A holistic finite difference approach models linear dynamics consistently
Roberts, A. J.. 2003. "A holistic finite difference approach models linear dynamics consistently." Mathematics of Computation. 72 (241), pp. 247-262. https://doi.org/10.1090/S0025-5718-02-01448-5Holistic discretisation ensures fidelity to Burger's equation
Roberts, A. J.. 2001. "Holistic discretisation ensures fidelity to Burger's equation." Applied Numerical Mathematics. 37 (3), pp. 371-396. https://doi.org/10.1016/S0168-9274(00)00053-2A lubrication model of coating flows over a curved substrate in space
Roy, R. Valery, Roberts, A. J. and Simpson, M. E.. 2002. "A lubrication model of coating flows over a curved substrate in space." Journal of Fluid Mechanics. 454 (1), pp. 235-261. https://doi.org/10.1017/S0022112001007133Nonlinear instability in generalized nonlinear phase diffusion equation
Strunin, Dmitry V.. 2003. "Nonlinear instability in generalized nonlinear phase diffusion equation." Progress of Theoretical Physics Supplement.Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids
Roberts, A. J.. 2007. Computer algebra models the inertial dynamics of a thin film flow of power law fluids and other non-Newtonian fluids . University of Southern Queensland.Computer algebra derives normal forms of stochastic differential equations
Roberts, A. J.. 2007. Computer algebra derives normal forms of stochastic differential equations . Toowoomba, Australia. University of Southern Queensland.Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation
Roberts, A. J.. 2006. Computer algebra derives discretisations of the stochastically forced Burgers' partial differential equation. Toowoomba, Australia. University of Southern Queensland.The style files: favour the present tense
Roberts, Tony. 2006. "The style files: favour the present tense." Gazette of the Australian Mathematical Society. 33 (5), pp. 313-314.The style files: explicitly avoid false conditionals
Roberts, Tony. 2006. "The style files: explicitly avoid false conditionals." Gazette of the Australian Mathematical Society. 33 (4), pp. 241-242.The style files: inform with titles, abstracts and introductions
Roberts, Tony. 2006. "The style files: inform with titles, abstracts and introductions." Gazette of the Australian Mathematical Society. 33 (3), pp. 169-170.The style files: clarify this
Roberts, Tony. 2006. "The style files: clarify this." Gazette of the Australian Mathematical Society. 33 (2), pp. 104-105.The style files: prefer active writing to passive
Roberts, Tony. 2006. "The style files: prefer active writing to passive." Gazette of the Australian Mathematical Society. 33 (1), pp. 22-23.Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations
Roberts, A. J.. 2005. Computer algebra resolves a multitude of microscale interactions to model stochastic partial differential equations. Toowoomba, Australia. University of Southern Queensland.