TY - JOUR
T1 - The Cell Analytic-Numerical Method for Solution of the Two-Dimensional Advection-Dispersion Equation
AU - Elnawawy, O. A.
AU - Valocchi, A. J.
AU - Ougouag, A. M.
N1 - Funding Information:
This paper is based upon work supported by the National Science Foundation under Grant ECE 84-18644, and by the U.S. Geological Survey under Grant No. 14-08-001-G1299.
PY - 1988/1/1
Y1 - 1988/1/1
N2 - A new numerical method, called the Cell Analytic-Numerical Method, is developed for solution of the Two-Dimensional Advection-Dispersion Equation by using a transverse integration technique followed by analytical solution of the transverse- integrated local equations. Continuity of the mass flux is then used to obtain a set of coupled tridiagonal equations which can be efficiently solved. This new method is demonstrated to have high accuracy, even when applied on coarse meshes, and to have minimal grid orientation error.
AB - A new numerical method, called the Cell Analytic-Numerical Method, is developed for solution of the Two-Dimensional Advection-Dispersion Equation by using a transverse integration technique followed by analytical solution of the transverse- integrated local equations. Continuity of the mass flux is then used to obtain a set of coupled tridiagonal equations which can be efficiently solved. This new method is demonstrated to have high accuracy, even when applied on coarse meshes, and to have minimal grid orientation error.
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U2 - 10.1016/S0167-5648(08)70066-2
DO - 10.1016/S0167-5648(08)70066-2
M3 - Article
AN - SCOPUS:77957005470
SN - 0167-5648
VL - 36
SP - 21
EP - 26
JO - Developments in Water Science
JF - Developments in Water Science
IS - C
ER -