๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Time-Splitting Technique for the Advection-Dispersion Equation in Groundwater

โœ Scribed by Annamaria Mazzia; Luca Bergamaschi; Mario Putti

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
322 KB
Volume
157
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper a time-splitting technique for the two-dimensional advection-dispersion equation is proposed. A high resolution in space Godunov method for advection is combined with the RT0 Mixed Finite Element for the discretization of the dispersion term. Numerical tests on an analytical one-dimensional example ascertain the convergence properties of the scheme. At different Peclet numbers, the choice of optimal time step size used for the two equations is discussed, showing that with accurate selection of the time step sizes, the overall CPU time required by the simulations can be drastically reduced. Results on a realistic test case of groundwater contaminant transport confirm that the proposed scheme does not suffer from Peclet limitations and always displays only small amounts of numerical diffusion across the entire range of Peclet numbers.

๐Ÿ“œ SIMILAR VOLUMES

Process splitting of the boundary condit
Process splitting of the boundary conditions for the advectionโ€“dispersion equation
โœ Kolawole O. Aiyesimoju; Rodney J. Sobey ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 453 KB ๐Ÿ‘ 1 views

Rational strategies are considered for the specification of the intermediate boundary condition at an inflow boundary where process splitting (fractional steps) is adopted in solving the advection-dispersion equation. Three lowest-order methods are initially considered and evaluation is based on com

Analytical solutions of the advection-di
Analytical solutions of the advection-dispersion equation for transient groundwater flow. A numerical validation
โœ Erick Carlier ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 163 KB

## Abstract An analytical transportโ€model was developed to simulate the propagation of a contaminant in oneโ€ and twoโ€dimensional transient flow in groundwater. It is proved that the distribution of concentration at a given time and for a given discharge is identical to that obtained for a different

Numerical modelling of advectionโ€“dispers
Numerical modelling of advectionโ€“dispersion equation in a stretched curvilinear grid using the QUICKEST scheme
โœ Lars Arneborg; Erik Asp Hansen ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 762 KB

A stretched version of the QUICKEST scheme for solutions of the advection -dispersion equation is presented. The scheme is accurate for large degrees of stretching, so that it can be used where large gradients are present, e.g. for the calculation of sediment in suspension close to the bed. The sche