River, Coastal and Estuarine Morphodynamics: RCEM 2007, Two Volume Set


Book Description

Around the world, many people live, work and recreate in river, estuarine and coastal areas, systems which are also important wildlife habitats. It is imperative to understand the physics of such systems. A key element here is morphodynamics: the mutual interaction and adjustment of landform topography and fluid dynamics involving the motion of sed




Three-dimensional Numerical Analysis of Flow Structure and Sediment Transport Process in Open Channels


Book Description

This research project focuses on the analysis and prediction of flow structures and sediment transport process in open channels by using three-dimensional numerical models. The numerical study was performed using the open source computational fluid dynamics (CFD) solver based on the finite volume method (FVM) – OpenFOAM. Turbulence is treated by means of the two main methodologies; i.e. Large Eddy Simulation (LES) and Reynolds-Averaged Navier–Stokes (RANS). The free surface is tracked using the Volume of Fluid method (VOF). In addition, a new multi-dimensional model for sediment transport based on the Eulerian two-phase mathematical formulation is applied. The results obtained from the different numerical configurations are verified and validated against experimental data sets published in important research journals. The main characteristics of the flow structures are studied by using three set-up cases in steady and unsteady-state (transient) hydraulic flow conditions. On the other hand, the new multi-dimensional model for sediment transport is applied to predict the local scour caused by submerged wall jet test-case. Non-uniform structured elements are used in the grid configuration of the computational domains. A mesh sensitivity analysis is performed in each test-case study in order to obtain independent grid results. This analysis provides a balance between accuracy and optimal computational time. The results demonstrate that the three-dimensional numerical configurations satisfactorily reproduce the temporal variation of the different variables under study with correct trends and high correlation with the experimental values. Regarding the analysis and prediction of the flow structures, the results show the importance of the turbulence approach in the numerical configuration. On the other hand, the results of the new multi-dimensional two-phase model allow to analyze the full dynamics for sediment transport (concentration profile). Although the numerical results are satisfactory, the application of three-dimensional numerical models in field-scale cases requires a high computational resource.




Modelling and Simulation of Diffusive Processes


Book Description

This book addresses the key issues in the modeling and simulation of diffusive processes from a wide spectrum of different applications across a broad range of disciplines. Features: discusses diffusion and molecular transport in living cells and suspended sediment in open channels; examines the modeling of peristaltic transport of nanofluids, and isotachophoretic separation of ionic samples in microfluidics; reviews thermal characterization of non-homogeneous media and scale-dependent porous dispersion resulting from velocity fluctuations; describes the modeling of nitrogen fate and transport at the sediment-water interface and groundwater flow in unconfined aquifers; investigates two-dimensional solute transport from a varying pulse type point source and futile cycles in metabolic flux modeling; studies contaminant concentration prediction along unsteady groundwater flow and modeling synovial fluid flow in human joints; explores the modeling of soil organic carbon and crop growth simulation.







A Multi-dimensional Two-phase Flow Modeling Framework for Sediment Transport Applications


Book Description

Studying coastal processes is essential for the sustainability of human habitat and vibrancy of coastal economy. Coastal morphological evolution is caused by a wide range of coupled cross-shore and alongshore sediment transport processes associated with short waves, infra-gravity waves, and wave-induced currents. One of the key challenges was that the major transport occurs within bottom boundary layers and it is dictated by turbulence-sediment interactions and inter-granular interactions. Therefore, this study focuses on numerical investigations of sediment transport in the bottom wave boundary layers on continental shelves and nearshore zones, with emphasis on both fine sediment (mud) and sand transports. On the continental shelves, the sea floor is often covered with fine sediments (with settling velocity no more than a few mm/s). Wave-induced resuspension has been identified as one of the major mechanisms in the offshore delivery for fine sediments. A series of turbulence-resolving simulations were carried out to study the role of sediment resuspension/deposition on the bottom sediment transport. Specifically, we focus on how the critical shear stress of erosion and the settling velocity can determine the transport modes. At a given wave intensity associated with more energetic muddy shelves, three transport modes, namely the well-mixed transport (mode I), two-layer like transport with the formation of lutocline (mode II) and laminarized transport (mode III), are obtained by varying the critical shear stress of erosion or the settling velocity. A 2D parametric map is proposed to characterize the transition between transport modes as a function of the critical shear stress and the settling velocity at a fixed wave intensity. In addition, the uncertainties due to hindered settling and particle inertia effects on the transport modes were further studied. Simulation results confirmed that the effect of particle inertia is negligible for fine sediment in typical wave condition on continental shelves. On the other hand, the hindered settling with low gelling concentration can play a key role in sustaining a large amount of suspended sediments and results in the laminarized transport (mode III). Low gelling concentrations can also trigger the occurrence of gelling ignition, a state in which the erosion rate always exceeds the deposition rate. A sufficient condition for the occurrence of gelling ignition is hypothesized for a range of wave intensities as a function of sediment/floc properties and erodibility parameters. In the more energetic nearshore zones, the sea floor is often covered with sand (with settling velocity exceeds 1 cm/s). Based on the open-source CFD toolbox OpenFOAM, a multi-dimensional Eulerian two-phase modeling framework is developed for sediment transport applications. With closures of particle stresses and fluid-particle interactions, the model is able to resolve full sediment transport profiles without conventional bedload/suspended load assumptions. The turbulence-averaged model is based on a modified k-epsilon closure for the carrier flow turbulence and it was used to study momentary bed failure under sheet flow conditions. Model results revealed that the momentary bed failure and the resulting large transport rate were associated with a large erosion depth, which was triggered by the combination of large bed shear stresses and large horizontal pressure gradients. In order to better resolve turbulence-sediment interactions, the modeling framework was also extended with a 3D turbulence-resolving capability, where most of the turbulence-sediment interactions are directly resolved. The model is validated against a steady sheet flow experiment for coarse light particles. It is found that the drag-induced turbulence damping effect was more significant than the well-known density stratification for the flow condition and grain properties considered. Meanwhile, the turbulence-resolving model is able to reproduce bed intermittency, which was driven by turbulent ejection and sweep motions, similar to the laboratory observation. Finally, simulations for fine sand transport in oscillatory sheet flow demonstrate that the turbulence-resolving model is able to capture the enhanced transport layer thickness for fine sand, which may be related to the burst events near flow reversal. Several future research directions, including further improvements of the present modeling framework and science issues that may be significantly benefited from the present turbulence-resolving sediment transport framework, are recommended.







Mathematical Modeling of Suspended Sediment Transport in Free Surface Flows


Book Description

The vertical distribution of suspended sediment concentration and velocity plays a major role in the study of the transport rate and the transport capacities of a river. Many suspended sediments concentration and velocity profiles exist in the literature, having ambiguous conditions of application. In addition, it is not easy to conduct in - situ measurements. This reveals, not only the utility of using numerical profiles, but also the responsibility of choosing an optimal one.The present thesis aims to conceive new tools for studying the vertical velocity and concentration distribution. In this context, we present two new sediment diffusivity coefficients obtained by the introduction of correction operator on the parabolic diffusivity coefficient. These models are implemented in the convection diffusion equation to generate two analytical concentration profiles and using the Boussinesq assumption, they lead to two analytical velocity profiles. Also, we conceive a method for choosing between different mathematical representation of a same physical phenomenon, and two methods for the intersection between these representations when more than one is applicable and for the extension of the representations to the cases where no model is applicable. We apply this method on the study of the vertical velocity profile and the sediment distribution in steady and uniform sediment laden open channel flows, and we develop the expert system for the vertical sediment concentration distribution code_ERESA.In an appendix, we test the use of the finite volume code_Saturne for the study of the vertical velocity distribution and suspended sediment concentration in open channel flows.







Stochastic Modeling of Suspended Sediment Transport in Regular and Extreme Flow Environments


Book Description

Transport of sediments creates a variety of environmental impacts because it not only induces erosion and deposition problems, but also transfers contaminants or viruses adhered or coupled with the sediments. A better understanding of the fundamental sediment transport processes is significant for environmental researchers to provide practical and scientifically sound solutions to hydraulic engineering problems. Stochastic characteristics of sediment transport have been identified from experiment data. The trajectory of a sediment particle is stochastic due to the probabilistic nature of the flow and sediment conditions. The main goal of the study is to develop a stochastic model governing suspended sediment transport. In this research, several issues related to stochastic modelling of suspended sediment transport are discussed: the numerical scheme for the Fokker-Planck equation; suspended sediment transport in regular surface flows; and suspended sediment transport in extreme flow environments. A fourth-order accurate numerical scheme has been developed for the two-dimensional advection-diffusion (A-D) equation in a staggered-grid system. The first-order spatial derivatives are approximated by the fourth-order accurate finite-difference scheme, thus all truncation errors are kept to a smaller order of magnitude than those of the diffusion terms. For the time derivative, the fourth-order accurate Adams-Bashforth predictor-corrector method is applied. The stability analysis of the proposed scheme is carried out using the Von Neumann method. It is shown that the proposed algorithm has good stability. The proposed numerical scheme can provide more accurate results for long-time simulations validated against analytical and/or numerical solutions. A stochastic partial differential equation based model has been derived based on the law of conservation of mass and the Langevin equation of particle displacement to simulate suspended sediment transport in open-channel flows. The proposed model, explicitly expressing the randomness of sediment concentrations, has the advantage of capturing an instantaneous profile of sediment concentrations including not only the mean but also the variance compared with the deterministic A-D equation. As a result, the probability distribution of the sediment transport rate can be characterized based on a number of realizations obtained in the numerical experiments. The lattice approximation is applied to solve the SPDE of suspended sediment transport in open channel flow. The ensemble mean sediment concentration of the proposed SPDE, obtained by the Monte Carlo simulation, agrees well with that of the deterministic A-D equation. This study proposed a stochastic jump diffusion model in response to extreme flows to describe the movement of sediment particles in surface waters. The proposed approach classifies the movement of particles into three categories - a drift motion, a Brownian type motion due to turbulence in the flow field for example, and jumps due to occurrence of extreme events. In the proposed stochastic diffusion jump model, the occurrence of the extreme flow events is modeled as a Poisson process. The frequency of occurrence of the extreme events in the stochastic diffusion jump model can be explicitly accounted for in the evaluation of movement of sediment particles. The ensemble mean and variance of particle trajectory can be obtained from the proposed model. As such, the stochastic diffusion jump model, when coupled with an appropriate hydrodynamic model, can assist in developing a forecast model to predict the movement of particles in the presence of extreme flows.