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.
ASJC Scopus subject areas
- Water Science and Technology
- Geotechnical Engineering and Engineering Geology
- Ocean Engineering
- Mechanical Engineering