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Finite Difference Methods and the Method of Characteristics for Solving Hydrodynamic Dispersion Equations

  • Ne-Zheng Sun

Abstract

We have known the basic idea of finite difference methods (FDM) in the study of groundwater flow problems. FDM includes three major steps. First, the flow region is divided by a grid and the time interval into time steps. Second, the partial derivatives involved in the PDE are replaced by their finite difference approximations. As a result, the PDE is transformed into a system of algebraic equations. Third, the algebraic system is solved and the nodal values of the unknown function are obtained. These discrete values approximately describe the time-space distribution of the unknown variable. We will see that exactly the same steps can be used to solve advection-dispersion problems.

Keywords

Finite Difference Method Truncation Error Dispersion Coefficient Tracer Particle Finite Difference Method 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Ne-Zheng Sun
    • 1
  1. 1.Civil and Environmental Engineering DepartmentUniversity of CaliforniaLos AngelesUSA

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