Parallel and distributed simulation of sediment dynamics in shallow water using particle decomposition approach

Charles, W. M.; Berg, E. van den; Lin, Hai; Heemink, A.W.; Verlaan, Martin

doi:10.1016/j.jpdc.2007.09.007

Cited by 10 publications

(8 citation statements)

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“…Because of these advantages Lagrangian schemes became more common in the SPM modelling community [9,16,26]. Nevertheless most of these models used only small number of particles O (10 4 ).…”

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confidence: 99%

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Suspended particulate matter dynamics in a particle framework

Gräwe

Wolff

2009

Environ Fluid Mech

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Suspended particulate matter (SPM) dynamics in ocean models are usually treated with an advection-diffusion equation for one or more sediment size classes coupled to the hydrodynamical part of the model. Numerical solution of these additional partial differential equations unavoidably introduces numerical diffusion, i.e. in the case of sharp gradients the possible occurrence of artificial oscillations and non-positivity. A Lagrangian particle-tracking model has been developed to simulate short-term SPM dynamics. Modelling individual sediment particles allows a straightforward physical interpretation of the processes. The tracking of large numbers of individual and independent particles (up to 25 million in total in a single sediment class) can be achieved on high performance computer clusters, due to efficient parallelisation of particle tracking. The movement of the particles is described by a stochastic differential equation, which is consistent with the advection-diffusion equation. Here, the concentration profile is represented by a set of independent moving particles, which are advected according to the 3D velocity field, while the diffusive displacements of the particles are sampled from a random distribution, which is related to the eddy diffusivity field. To account for erosion a new parameterisation is proposed. Three numerical particle tracking schemes (EULER, MILSTEIN and HEUN) are presented and validated in idealised test cases. Finally, the particle tracking algorithms are applied to a realistic scenario, a severe winter storm in the East Frisian Wadden Sea (southern North Sea). The comparison with observations and an Eulerian SPM transport model seems to indicate a somewhat better fidelity of the Lagrangian approach.

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confidence: 99%

“…Nevertheless most of these models used only small number of particles O (10 4 ). Nowadays with easy access to high performance computer clusters, the tracking of individual particles can be parallelised with high efficiency and therefore makes huge particle numbers feasible [9]. This means to deal with particles in the order of >10 7 .…”

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confidence: 99%

Suspended particulate matter dynamics in a particle framework

Gräwe

Wolff

2009

Environ Fluid Mech

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“…The results validated that the finer grid resolution lead to better performance in parallel computation. Similar validation studies were done in various research areas including open channel flow (Rao, 2004), flow field calculation in Wu River (Chunbo et al , 2005), transient shallow water in the presence of wetting/drying fronts (Latorre et al , 2007), groundwater flow and transport simulation (Huang et al , 2008) and sediment suspension methods (Charles et al , 2008). All of these studies simply adopted MPI and domain decomposition approach for parallel computation to decrease the execution time for a fixed computation load or domain size, but none of these focused on redesigning the model for extending the domain size while maintaining the same execution time.…”

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confidence: 58%

A DEM‐based parallel computing hydrodynamic and transport model

Zhang

Jha

et al. 2010

River Research & Apps

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The sudden and accidental water pollution response system (SAWPRS) for Yangtze River in central China required to develop a hydrodynamic and transport model, which is readily available and capable of simulating a large river system within GIS environment. This study facilitates such effort by developing a parallel computing method based on digital elevation model (DEM) using overlapping domain decomposition approach (ODDA) and message passing interface (MPI) protocol. The hydrodynamic and transport model was redesigned using finite volume method for hydrodynamic and transport model dispersion, the SIMPLEC method for solving the flow field, and the pressure weighted interpolating method for the flow field modification. This modelling approach was verified in two experiments using different sets of computer clusters. The model output was evaluated against the measured data collected for the year 1998 for Wanzhou, an upstream river segment of Yangtze River. The relative error was found to be less than 10%. The performance of parallel computation was found excellent as evident from the cost efficiency values greater than 0.81 in both experiments and increased computation speed while increasing the number of computer clusters. Overall, the parallel computing modelling system developed here was found to meet all requirements of SAWPRS. Copyright © 2010 John Wiley & Sons, Ltd.

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“…We have got some results for the changes in the bed level for the data of 90 days for an idealized two dimension domain. We have also used our model to test the prediction of bed-level changes by using the approach of parallel computations of bedforms using the real data of the Dutch North sea [5]. Therefore, at least for now we can say that we have solved the set of mathematical equations called particle model for sediment transport.…”

Section: Discussionmentioning

confidence: 99%