Modelling Depth-integrated Pollution
Dispersion In The Gulf Of Thermaikos
Using A Lagrangian Particle Technique
Author(s)
R. W. Barber & N. P. Volakos
Abstract
A two-dimensional Lagrangian particle technique is described for simulating
depth-integrated contaminant dispersion in well-mixed estuaries and coastal seas.
The governing advection-diffusion equation is first rearranged into a Fokker-
Planck expression, allowing the implementation of a consistent random-walk
method for simulating spatially variable diffusion. The paper then describes a
novel particle-tracking algorithm that can be used with arbitrary non-orthogonal
boundary-fitted coordinate systems. The Lagrangian particle approach is
perfectly conservative and completely free from numerical diffusion. In addition,
this method is able to preserve steep concentration fronts allowing accurate
modelling of point sources of pollution. The capabilities of the numerical model
are demonstrated by simulating wind-induced circulation and pollutant transport
within the Gulf of Thermaikos, a semi-enclosed bay close to the City of
Thessaloniki in northern Greece.
Keywords: coastal pollution, point source, Lagrangian tracking, advectiondiffusion
equation, Fokker-Planck equation, non-orthogonal, boundary-fitted.
1 Introduction
Increasing environmental awareness and the need to predict and improve the
water quality in estuaries and coastal seas has led to significant developments in
the mathematical modelling of water pollution [1,2,3]. To date, the most popular
methods for predicting the transport of coastal pollution are based on Eulerian
solutions of the standard advection-diffusion equation using either finite-
Keywords
coastal pollution, point source, Lagrangian tracking, advectiondiffusion
equation, Fokker-Planck equation, non-orthogonal, boundary-fitted.
Related Book
Other papers in this volume
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