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Titel A multilayer approach for turbidity currents
VerfasserIn Enrique Fernandez-Nieto, Manuel J. Castro Diaz, Tomás Morales de Luna
Konferenz EGU General Assembly 2017
Medientyp Artikel
Sprache en
Digitales Dokument PDF
Erschienen In: GRA - Volume 19 (2017)
Datensatznummer 250146250
Publikation (Nr.) Volltext-Dokument vorhandenEGU/EGU2017-10265.pdf
 
Zusammenfassung
When a river that carries sediment in suspension enters into a lake or the ocean it can form a plume that can be classified as hyperpycnal or hypopycnal. Hypopycnal plumes occurs if the combined density of the sediment and interstitial fluid is lower than that of the ambient. Hyperpycnal plumes are a class of sediment-laden gravity current commonly referred to as turbidity currents [7,9]. Some layer-averaged models have been previously developed (see [3, 4, 8] among others). Although this layer-averaged approach gives a fast and valuable information, it has the disadvantage that the vertical distribution of the sediment in suspension is lost. A recent technique based on a multilayer approach [1, 2, 6] has shown to be specially useful to generalize shallow water type models in order to keep track of the vertical components of the averaged variables in the classical shallow water equations. In [5] multilayer model is obtained using a vertical discontinuous Galerkin approach for which the vertical velocity is supposed to be piecewise linear and the horizontal velocity is supposed to be piecewise constant. In this work the technique introduced in [5] is generalized to derive a model for turbidity currents. This model allows to simulate hyperpycnal as well as hypopycnal plumes. Several numerical tests will be presented. References [1]   E. Audusse, M. Bristeau, B. Perthame, and J. Sainte-Marie. A multilayer Saint-Venant system with mass exchanges for shallow water flows. derivation and numerical validation. ESAIM: Mathematical Modelling and Numerical Analysis, 45(1):169–200, (2010). [2]   E. Audusse, M.-O. Bristeau, M. Pelanti, and J. Sainte-Marie. Approximation of the hydrostatic Navier‚ÄìStokes system for density stratified flows by a multilayer model: Kinetic interpretation and numerical solution. Journal of Computational Physics, 230(9):3453–3478, (2011). [3]   S. F. Bradford and N. D. Katopodes. Hydrodynamics of turbid underflows. i: Formulation and numerical analysis. Journal of Hydraulic Engineering, 125(10):1006–1015, (1999). [4]   F. H. Chu, W. D. Pilkey, and O. H. Pilkey. An analytical study of turbidity current steady flow. Marine Geology, 33(3-4):205–220, 1979. [5]   E. D. Fernández-Nieto, E. H. Koné, and T. C. Rebollo. A Multilayer Method for the Hydrostatic Navier-Stokes Equations: A Particular Weak Solution. J. of Scientific Computing, 60(2):408–437, (2013). [6]   E. D. Fernández-Nieto, E. H. Koné, T. Morales de Luna, and R. Bürger. A multilayer shallow water system for polydisperse sedimentation. J. of Computational Physics, 238:281–314, (2013). [7]   T. Mulder and J. P. M. Syvitski. Turbidity Currents Generated at River Mouths during Exceptional Discharges to the World Oceans. The Journal of Geology, 103(3):285–299, (1995). [8]   G. Parker, Y. Fukushima, and H. M. Pantin. Self-accelerating turbidity currents. Journal of Fluid Mechanics, 171:145–181, (1986). [9]   J. D. Parsons, J. W. M. Bush, and J. P. M. Syvitski. Hyperpycnal plume formation from riverine outflows with small sediment concentrations. Sedimentology, 48(2):465–478, (2001).