A CRITICAL ASSESSMENT OF PHENOMENOLOGICAL MODELS UNCERTAINTIES FOR TURBIDITY CURRENTS

Autores

  • Henrique José Ferreira da Costa COPPE-UFRJ Universidade Federal do Rio de Janeiro
  • Fernando Alves Rochinha

DOI:

https://doi.org/10.26512/ripe.v2i16.21620

Palavras-chave:

Reduced Model. Uncertainty Quantification. Turbidity Current.

Resumo

Turbidity currents have significantly contributed to the formation of oil reservoirs through massive transport and deposition of sediments in the offshore area during the past geological era. That motivates the seek for understanding these complex flows composed of carrier and disperse phases. In this regard, numerical simulations can be of great help in understanding the complex underlying physics of those turbulent flows. Two-fluid models allow the explicit consideration of both phases, liquid and solid, where the coupling between them arises from fluid-particle and particle-particle interactions. Simplified approaches, namely standard sediment transport model (SSTM) and partial two-fluid model (PTFM), represent a balance between accuracy and easiness of computation which makes them attractive for different applications. Computational models are built upon employing a Large Eddy Simulation (LES) approach based on the Residual Based Variational Multiscale Method (RBVMS). The scales decomposition used in the RBVMS allow the design of subgrid models, responsible for describing turbulence and interactions involving fine scales that are not captured by the numerical grid, on a purely computational modeling standpoint. Using those computational models on an uncertainty quantification perspective, a number of simulations are performed aiming at assessing the role of phenomenological models as surrogates for the two-fluid models direct interactions in nondilute flows. Uncertainties of those models are embedded into random parameters variables. Different scenarios involving an open channel flow were performed to  make a critical analysis of those submodels when applied to turbidity currents simulations.

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Referências

Arrhenius, S. 1917. The Viscosity of Solutions. Biochemical Journal, 11(2), 112”“133.

Avila, M., Codina, R., & Principe, J. 2014. Large eddy simulation of low Mach number flows using dynamic and orthogonal subgrid scales. Computers and Fluids, 99(jul), 44”“66.

Avila, M., Codina, R., & Principe, J. 2015. Finite element dynamical subgrid-scale model for low Mach number flows with radiative heat transfer. International Journal of Numerical Methods for Heat and Fluid Flow, 25(6), 1361”“1384.

Bakhtyar, R., Yeganeh-Bakhtiary, A., Barry, D.A., & Ghaheri, A. 2009. Two-phase hydrodynamic and sediment transport modeling of wave-generated sheet flow. Advances in Water Resources, 32(8), 1267”“1283.

Batchelor, G. K. 1977. The effect of Brownian motion on the bulk stress in a suspension of spherical particles. Journal of Fluid Mechanics, 83(01), 97.

Bauer, G., Gravemeier, V., & Wall, W. A. 2012. A stabilized finite element method for the numerical simulation of multi-ion transport in electrochemical systems. Computer Methods in Applied Mechanics and Engineering, 223-224(jun), 199”“210.

Bombardelli, F. A., & Jha, S. K. 2009. Hierarchical modeling of the dilute transport of suspended sediment in open channels. Environmental Fluid Mechanics, 9(2), 207”“235.

Brady, J. F. 1993. The rheological behavior of concentrated colloidal dispersions. The Journal of Chemical Physics, 99(1), 567.

Brennen, C. E. 2005. Fundamentals of Multiphase Flows. Pasadena: Cambridge University Press.

Buscaglia, G. C., Bombardelli, F. A., & Garc´Ä±a, M. H. 2002. Numerical modeling of large-scale bubble plumes accounting for mass transfer effects. International Journal of Multiphase Flow, 28(11), 1763”“1785.

Cao, Z., Wei, L., & Xie, J. 1995. Sediment-Laden Flow in Open Channels from Two-Phase Flow Viewpoint. Journal of Hydraulic Engineering, 121(10), 725”“735.

Cao, Z., Egashira, S., & Carling, P. A. 2003. Role of suspended-sediment particle size in modifying velocity profiles in open channel flows. Water Resources Research, 39(2), n/a”“n/a.

Chong, J. S., Christiansen, E. B., & Baer, A. D. 1971. Rheology of concentrated suspensions. Journal of Applied Polymer Science, 15(8), 2007”“2021.

Dong, P., & Zhang, K. 1999. Two-phase flow modelling of sediment motions in oscillatory sheet flow. Coastal Engineering, 36(2), 87”“109.

Einstein, A. 1906. Eine neue Bestimmung der Molek¨uldimensionen. Annalen der Physik, 324(2), 289”“306.

Elghobashi, S. E. 1983. A two-equation turbulence model for two-phase flows. Physics of Fluids, 26(4), 931.

Gerstner, T., & Griebel, M. 1998. Numerical integration using sparse grids. Numerical Algorithms, 18(3/4), 209”“232.

Guerra, G., Rochinha, F. A., Elias, R., de Oliveira, D., Ogasawara, E., Dias, J. F., Mattoso, M., & Coutinho, A. L. G. A. 2012. Uncertainty Quantification In Computational Predictive Models For Fluid Dynamics Using AWorkflow Management Engine. International Journal for Uncertainty Quantification, 2(1), 53”“71.

Guerra, G. M., Zio, S., Camata, J., Rochinha, F. A., Elias, R. N., Paraizo, P. L.B., & Coutinho, A. L.G.A. 2013. Numerical simulation of particle-laden flows by the residual-based variational multiscale method. International Journal for Numerical Methods in Fluids, 73(8), 729”“749.

Jha, S. K., & Bombardelli, F. A. 2010. Toward two-phase flow modeling of nondilute sediment transport in open channels. Journal of Geophysical Research, 115(F3), F03015.

Jha, S. K., & Bombardelli, F. A. 2011. Theoretical/numerical model for the transport of nonuniform suspended sediment in open channels. Advances in Water Resources, 34(5), 577”“591.

Krieger, I. M., & Dougherty, T. J. 1959. A Mechanism for Non-Newtonian Flow in Suspensions of Rigid Spheres. Journal of Rheology, 3(1), 137.

Lyn, D. A. 1988. A similarity approach to turbulent sediment-laden flows in open channels. Journal of Fluid Mechanics, 193(1), 1.

Mooney, M. 1951. The viscosity of a concentrated suspension of spherical particles. Journal of Colloid Science, 6(2), 162”“170.

Muste, M., & Patel, V. C. 1997. Velocity Profiles for Particles and Liquid in Open-Channel Flow with Suspended Sediment. Journal of Hydraulic Engineering, 123(9), 742”“751.

Muste, M., Yu, K., Fujita, I., & Ettema, R. 2005. Two-phase versus mixed-flow perspective on suspended sediment transport in turbulent channel flows. Water Resources Research, 41(10).

Necker, F., H¨artel, C., Kleiser, L., & Meiburg, E. 2002. High-resolution simulations of particledriven gravity currents. International Journal of Multiphase Flow, 28, 279”“300.

Nobile, F., Tempone, R., & Webster, C. G. 2008. An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data. SIAM Journal on Numerical Analysis, 46, 2411”“2442.

Pavlik, M. 2011. The dependence of suspension viscosity on particle size, shear rate, and solvent viscosity. Ph.D. thesis, DePaul University.

Roscoe, R. 2002. The viscosity of suspensions of rigid spheres. British Journal of Applied Physics, 3(8), 267”“269.

Thomas, D. G. 1965. Transport characteristics of suspension: VIII. A note on the viscosity of Newtonian suspensions of uniform spherical particles. Journal of Colloid Science, 20(3), 267”“277.

Toda, K., & Furuse, H. 2006. Extension of Einstein’s viscosity equation to that for concentrated dispersions of solutes and particles. Journal of bioscience and bioengineering, 102(6), 524”“8.

Widera, P. 2011. Study of sediment transport processes using Reynolds Averaged Navier-Stokes and Large Eddy Simulation. Ph.D. thesis, VRIJE UNIVERSITEIT BRUSSEL.

Winterwerp, J.C. 2002. On the flocculation and settling velocity of estuarine mud. Continental Shelf Research, 22(9), 1339”“1360.

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Publicado

2017-01-30

Como Citar

Ferreira da Costa, H. J., & Rochinha, F. A. (2017). A CRITICAL ASSESSMENT OF PHENOMENOLOGICAL MODELS UNCERTAINTIES FOR TURBIDITY CURRENTS. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(16), 101–115. https://doi.org/10.26512/ripe.v2i16.21620