In bioventing the radius of effectiveness of a single injection well play a very important rule. The mathematical model exposed uses the radius of bioremediantion to set-up an optimal strategy for the spatial collocation of the injection wells in the polluted site.
bioventing
wells injection
mathematical modeling
fluid dynamics in porous media
Reaction-diffusion systems with cross-diffusion are analyzed here for modeling the population dynamics of epidemic systems. In this paper specific attention is devoted to the numerical analysis and simulation of such systems to show that, far from possible pathologies, the qualitative behaviour of the systems may well interpret the dynamics of real systems.
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Modelli matematici per il controllo della qualità delle acque costiere
Capasso Vincenzo
;
Di Liddo Andrea
;
Notarnicola Filippo
;
Posa Donato
;
Rinaldi Floriana
Some research regarding the quality of the water in the Mar Piccolo of the Gulf of Taranto are presented comprehending statistical and hydrodynamical analysis.
In this paper, a semi-implicit finite difference method for the 2-D shallow water equations is derived and applied. A characteristic analysis of the governing equations indicates those terms to be discretised implicitly so that the stability of the method will not depend on the celerity. Such terms are the gradient of the water surface elevation in the momentum equations, and the velocity divergence in the continuity equation. The convective terms are discretised explicitly by using either an upwind or an Eulerian-Lagrangian formula. The resulting algorithm, at each time step, required the solution of a linear give-diagonals system which is diagonally dominant with positive elements on the main diagonal and negative ones elsewhere. Thus, existence and uniqueness of the numerical solution is assured at each time step. An application of this method is finally considered for computing the tidal circulation in the MARE PICCOLO, an embayment in the Gulf of Taranto.
TIDAL CIRCULATION
SHALLOW WATER
MATHEMATICAL MODELS
Si descrive un metodo per la risoluzione approssimata delle equazioni per acque basse ed il software sviluppato per la implementazione dello schema numerico.
shallow water
numerical scheme
numerical solution of PDE
hydrodynamics
The matrix recursive expression for the computation of the Discrete Fourier Transform of a complex sequence is constructed. The properties of the matrices involved in the recursive expression are exposed. The report contains also a software for the computation of the FFT.