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Numerical Solutions of Advection-Dominated Problems

  • Ne-Zheng Sun

Abstract

When the advection term dominates in the advection-dispersion equation, most traditional numerical methods will encounter difficulties. In Chapter 4, we have stated that when the FDM is used for solving advection-dominated problems, two kinds of errors, numerical dispersion and overshoot, will occur. As a result, oscillations will appear around concentration fronts and steep concentration fronts cannot be accurately calculated. In Chapter 5, we pointed out that the Galerkin FEM cannot avoid the above two kinds of errors, either. Consequently, improvement of the accuracy and stability of numerical solutions has become an important subject in current research.

Keywords

Peclet Number Finite Difference Approximation Numerical Dispersion Finite Element Equation Move Coordinate System 
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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