the transport of dissolved contaminants in groundwater is usually described by the advectiondispersion equation with reaction. several numerical methods for solving the one-dimensional are availableincluding finite difference methods, finite volume methods, and finite element methods. stringent conditions,such as small peclet (pe) and courant (cr) numbers, must be satisfied to ensure the accura...

two-dimensional hydrodynamic and advection-dispersion simulations were carried out toidentify the appropriate locations of inlet and outlet for cool seawater discharges from the proposed liquefiednatural gas (lng) terminal using mike-21 suites of software. the model simulations were validated bycomparing the observed and simulated hydrodynamics in terms of water depths, current speeds and direc...

Most of this chapter is devoted to a discussion of the one-dimensional advection equation, (4.1) Here A is the advected quantity, and c is the advecting current. This is a linear, first-order, partial differential equation with a constant coefficient, namely c. Both space and time differencing are discussed in this chapter, but more emphasis is placed on space differencing. We have already pres...

We address the coupling of an advection equation with a diffusion-advection equation, for solutions featuring boundary layers. We consider non-overlapping domain decompositions and we face up the heterogeneous problem using an extended variational formulation. We will prove the equivalence between the latter formulation and a treatment based on a singular perturbation theory. An exhaustive comp...

In this paper, we describe a comparison of two spatial discretization schemes for the advection equation, namely the first finite difference method and the method of lines. The stability of the methods has been studied by Von Neumann method and with the matrix analysis. The methods are applied to a number of test problems to compare the accuracy and computational efficiency. We show that both d...