3-D hybrid Eulerian-Lagrangian / particle tracking model for simulating mass transport in coastal water bodies

The purpose of this research is the development and analysis of a three-dimensional finite-element Eulerian-Lagrangian / particle tracking model for the simulation of passive pollutant transport in coastal areas. Particular emphasis is given on the simulation of pollution sources (e.g. outfalls) whose spatial extend is small compared to that of the domain discretization. A hybrid particle tracking / Eulerian-Lagrangian method is developed and analyzed for the simulation of small scale sources: Mass discharge from the source is modeled by the release of particles. When the standard deviation of the particle distribution reaches a length scale of the order of the grid scale particle locations are mapped onto node concentrations and the calculations proceed in the Eulerian-Lagrangian mode. A technique for the interfacing of the particle tracking mode and the Eulerian-Lagrangian mode is developed. The developed method for the simulation of sources is applied for the simulation of outfalls in coastal water problems. The issue of consistently modeling the intermediate flow field around the diffuser is investigated. In order to demonstrate the performance of the developed model it is applied in Massachusetts Bay. Thesis Supervisor: E. Eric Adams Title: Lecturer

[1]  Vincenzo Casulli,et al.  A Semi-Implicit Finite Difference Model for Three-Dimensional Tidal Circulation , 1992 .

[2]  Antonio E. de M Baptista,et al.  Solution of advection-dominated transport by Eulerian-Lagrangian methods using the backwards method of characteristics , 1987 .

[3]  T. F. Russell,et al.  Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics , 1984 .

[4]  O. Pironneau On the transport-diffusion algorithm and its applications to the Navier-Stokes equations , 1982 .

[5]  E. Eric Adams,et al.  Eulerian-Lagrangian analysis of pollutant transport in shallow water. Final report , 1984 .

[6]  Linda J. Hayes,et al.  Implementation of finite element alternating‐direction methods on nonrectangular regions , 1980 .

[7]  William H. Press,et al.  Numerical Recipes: The Art of Scientific Computing , 1987 .

[8]  V. A. Barker,et al.  Finite element solution of boundary value problems , 1984 .

[9]  W. Rodi,et al.  A higher order numerical scheme for scalar transport , 1982 .

[10]  André Robert,et al.  A stable numerical integration scheme for the primitive meteorological equations , 1981 .

[11]  D. Pepper,et al.  A high-order accurate numerical algorithm for three-dimensional transport prediction , 1980 .

[12]  Mary F. Wheeler,et al.  An Operator-Splitting Method for Advection-Diffusion-Reaction Problems , 1987 .

[13]  E. Holley,et al.  Advection Calculations Using Spline Schemes , 1986 .

[14]  T. F. Russell,et al.  Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media , 1985 .

[15]  S. P. Neuman Adaptive Eulerian–Lagrangian finite element method for advection–dispersion , 1984 .

[16]  U. Meissner,et al.  Finite elements in water resources. , 1982 .

[17]  F. Holly,et al.  Dispersion Simulation in Two‐dimensional Tidal Flow , 1984 .

[18]  E Livne,et al.  Finite elements and characteristics applied to advection-diffusion equations , 1983 .

[19]  Giuseppe Gambolati,et al.  Is a simple diagonal scaling the best preconditioner for conjugate gradients on supercomputers , 1990 .

[20]  Application of a Semi-Lagrangian Integration Scheme to the Moisture Equation in a Regional Forecast Model , 1985 .

[21]  A. Mcdonald Accuracy of Multiply-Upstream, Semi-Lagrangian Advective Schemes , 1984 .

[22]  F. Holly,et al.  Accurate Calculation of Transport in Two Dimensions , 1977 .

[23]  T. F. Russell,et al.  NUMERICAL METHODS FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS BASED ON COMBINING THE METHOD OF CHARACTERISTICS WITH FINITE ELEMENT OR FINITE DIFFERENCE PROCEDURES* , 1982 .

[24]  R. Ewing,et al.  Characteristics Petrov-Galerkin subdomain methods for two-phase immiscible flow , 1987 .

[25]  Kim Dan Nguyen,et al.  A two-dimensional fourth-order simulation for scalar transport in estuaries and coastal seas , 1988 .

[26]  G. Pinder,et al.  A Numerical Technique for Calculating the Transient Position of the Saltwater Front , 1970 .

[27]  P. Rasch,et al.  Two-dimensional semi-Lagrangian trans-port with shape-preserving interpolation , 1989 .