Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model
Article
Georgiev, Dian J., Roberts, A. J. and Strunin, Dmitry V.. 2007. "Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model." Discrete and Continuous Dynamical Systems Series A.
| Article Title | Nonlinear dynamics on centre manifolds describing turbulent floods: k-\omega model |
|---|---|
| ERA Journal ID | 39955 |
| Article Category | Article |
| Authors | Georgiev, Dian J. (Author), Roberts, A. J. (Author) and Strunin, Dmitry V. (Author) |
| Journal Title | Discrete and Continuous Dynamical Systems Series A |
| Number of Pages | 10 |
| Year | 2007 |
| Place of Publication | United States |
| ISSN | 1078-0947 |
| 1553-5231 | |
| Web Address (URL) | http://aimsciences.org/journals/pdfs.jsp?paperID=2848&mode=full |
| Abstract | In shallow turbulent flows such as floods and tsunami vertical mixing tends to smooth out the flow characteristics in cross-sectional direction. The evolution of the average cross-flow characteristics presents considerable |
| Keywords | dynamical systems, centre manifold, k-omega turbulent model |
| ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
| 490409. Ordinary differential equations, difference equations and dynamical systems | |
| Public Notes | This is the Authors' version of the paper. Note that paper is also available from the publisher website above, and the pagination on that version of the paper should be used. Also available in print as: Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference ( Poitiers, France), DCDS Supplement 2007 Edited by Boris Belinskiy, Kunquan Lan, Xin Lu, Alain Miranville and R. Shivaji. ISBN-13: 978-1-60133-010-9. |
| Byline Affiliations | Department of Mathematics and Computing |
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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.