每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
A MULTISCALE METHOD FOR GEOPHYSICAL FLOW EVENTS
摘要
Large-scale prediction of events such as coastal inundation, flooding, and dam collapse is becoming increasingly necessary from both a geophysical and geoengineering standpoint. Current computational models can only capture large-scale flow events and are unable to resolve three-dimensional mesoscale local flow features. We present a multiscale coupled fluid method, with large-scale flow over the full domain coupled with a smaller-scale model to more accurately resolve local flow features in regions of interest. The macroscale model uses a finite volume method based on the shallow water (SW) formulation. This is coupled to a mesoscale smoothed particle hydrodynamics (SPH) method for solving the three-dimensional Navier-Stokes equations for the fluid flow. We show the viability of this multiscale method for predicting both large-scale and smaller-scale flow effects in geophysical flow applications.
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Anastasiou, K. and Chan, C. T., Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes. DOI: 10.1002/(SICI)1097-0363(19970615)24:11<1225::AID-FLD540>3.0.CO;2-D
-
Begnudelli, L. and Sanders, B. F., Unstructured grid finite volume algorithm for shallow-water flow and scalar transport with wetting and drying. DOI: 10.1061/(ASCE)0733-9429(2006)132:4(371)
-
Begnudelli, L. and Sanders, B. F., Simulation of the St. Francis dam-break flood. DOI: 10.1061/(ASCE)0733-9399(2007)133:11(1200)
-
Begnudelli, L., Sanders, B. F., and Bradford, S. F., Adaptive Godunov-based model for flood simulation. DOI: 10.1061/(ASCE)0733-9429(2008)134:6(714)
-
Bradford, S. F. and Sanders, B. F., Finite-volume model for shallow-water flooding of arbitrary topography. DOI: 10.1061/(ASCE)0733-9429(2002)128:3(289)
-
Chanson, H., The Hydraulics of Open Channel Flow: An Introduction.
-
Chow, V. T. and Ben-Zvi, A., Hydrodynamic modeling of two-dimensional watershed flow.
-
Cleary, P. W. and Prakash, M., Discrete-element modelling and smoothed particle hydrodynamics: Potential in the environmental sciences. DOI: 10.1098/rsta.2004.1428
-
Cleary, P. W., Prakash, M., Ha, J., Stokes, N., and Scott, C., Smooth particle hydrodynamics: Status and future potential. DOI: 10.1504/PCFD.2007.013000
-
Cleary, P. W., Rothauge, K., and Prakash, M., Combining photogrammetric digital terrain and surface textures with large scale particle based computational models to predict three dimensional dam collapse and landslide events. DOI: 10.1080/19479832.2010.491801
-
Cummins, S. J., Silvester, T. B., and Cleary, P. W., Three-dimensional wave impact on a rigid structure using smoothed particle hydrodynamics. DOI: 10.1002/fld.2539
-
Gingold, R. A. and Monaghan, J. J., Smooth particle hydrodynamics: Theory and application to non-spherical stars.
-
Gómez-Gesteira, M. and Dalrymple, R. A., Using a three dimensional smoothed particle hydrodynamics method for wave impact on a tall structure. DOI: 10.1061/(ASCE)0733-950X(2004)130:2(63)
-
Iskandarani, M., Haidvogel, D. B., Levin, J. C., Curchitser, E., and Edwards, C. A., Multiscale geophysical modeling using the spectral element method. DOI: 10.1109/MCISE.2002.1032428
-
Juanes, R. and Patzek, T. W., Multiscale-stabilized solutions to one-dimensional systems of conservation laws. DOI: 10.1016/j.cma.2004.07.026
-
Kurganov, A. and Tadmor, E., New high-resolution central schemes for nonlinear conservation laws and convectiondiffusion equations. DOI: 10.1006/jcph.2000.6459
-
Lamby, P., Muller, S., and Stiriba, Y., Solution of shallow water equations using fully adaptive multiscale schemes. DOI: 10.1002/fld.1004
-
Laura, R. A. and Wang, J. D., Two-dimensional flood routing on steep slopes. DOI: 10.1061/(ASCE)0733-9429(1984)110:8(1121)
-
Le Maȋtre, O., Levin, J., Iskandarani, M., and Knio, O. M., A multiscale pressure splitting of the shallow-water equations. DOI: 10.1006/jcph.2001.6647
-
Leopardi, A., Oliveri, E., and Greco, M., Two-dimensional modeling of floods to map risk-prone areas. DOI: 10.1061/(ASCE)0733-9496(2002)128:3(168)
-
Monaghan, J. J., Simulating free surface flows with SPH. DOI: 10.1006/jcph.1994.1034
-
Monaghan, J. J., Smoothed particle hydrodynamics. DOI: 10.1088/0034-4885/68/8/R01
-
Nessyahu, H. and Tadmor, E., Non-oscillatory central differencing for hyperbolic conservation laws. DOI: 10.1016/0021-9991(90)90260-8
-
Prakash, M., Rothauge, K., and Cleary, P. W., Dam-break flood modelling of the St. Francis Dam using SPH.
-
Raad, P.E. and Bidoae, R., The three-dimensional Eulerian-Lagrangian marker and micro-cell method for the simulation of free surface flows. DOI: 10.1016/j.jcp.2004.09.013
-
Wang, Z. and Shen, H. T., Lagrangian simulation of one-dimensional dam-break flow. DOI: 10.1061/(ASCE)0733-9429(1999)125:11(1217)
-
Weare, T. J., Finite element or finite difference methods for the two-dimensional shallow water equations?. DOI: 10.1016/0045-7825(76)90068-2
-
Zhao, D. H., Shen, H. W., Tabious, G. Q., Lai, J. S., and Tan, W. Y., Finite volume two dimensional unsteady flow model for river basins. DOI: 10.1061/(ASCE)0733-9429(1994)120:7(863)
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Cleary Paul W., Prakash Mahesh, Mead Stuart, Tang Xinming, Wang Huibin, Ouyang Sida, Dynamic simulation of dam-break scenarios for risk analysis and disaster management, International Journal of Image and Data Fusion, 3, 4, 2012. Crossref
-
Harrison Simon M., Cleary Paul W., Towards modelling of fluid flow and food breakage by the teeth in the oral cavity using smoothed particle hydrodynamics (SPH), European Food Research and Technology, 238, 2, 2014. Crossref
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Cleary Paul W., Prakash Mahesh, Mead Stuart, Lemiale Vincent, Robinson Geoff K., Ye Fanghong, Ouyang Sida, Tang Xinming, A scenario-based risk framework for determining consequences of different failure modes of earth dams, Natural Hazards, 75, 2, 2015. Crossref
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Teschner Tom-Robin, Könözsy László, Jenkins Karl W., Progress in particle-based multiscale and hybrid methods for flow applications, Microfluidics and Nanofluidics, 20, 4, 2016. Crossref
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Cleary Paul W., Harrison Simon M., Sinnott Matt D., Pereira Gerald G., Prakash Mahesh, Cohen Raymond C. Z., Rudman Murray, Stokes Nick, Application of SPH to Single and Multiphase Geophysical, Biophysical and Industrial Fluid Flows, International Journal of Computational Fluid Dynamics, 35, 1-2, 2021. Crossref