IJPAM: Volume 42, No. 3 (2008)

VELOCITY FIELD CONSTRUCTION VIA LINEAR
FINITE ELEMENT SOLUTION OF
THE ``DUAL FORMULATION'' MODEL

Jun Cao$^1$, Peter K. Kitanidis$^2$
$^1$Department of Mechanical and Industrial Engineering
Ryerson University
Toronto, Ontario, M5B 2K3, CANADA
e-mail: jcao$@$ryerson.ca
$^2$Department of Civil and Environmental Engineering
Stanford University
Stanford, CA 94305-4020, USA
e-mail: peterk$@$stanford.edu


Abstract.An accurate computation of flow in a heterogeneous isotropic formation is required in describing the advective transport of a contaminant. We present a novel method for velocity field construction using simultaneously linear hydraulic head and streamfunction solutions of the ``dual formulation" flow model. A conservative advection-dispersion problem in a heterogeneous formation is solved for assessment of the accuracy of our new approach.

Received: August 17, 2007

AMS Subject Classification: 76M12, 76S05

Key Words and Phrases: finite element, ``dual formulation" flow model, hydraulic head, streamfunction, advection-dispersion

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 3