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Eulerian-Lagrangian Modeling of One-Dimensional Dispersion Equation in Nonuniform Flow

부등류조건에서 종확산방정식의 Eulerian-Lagrangian 모형

  • 김대근 (대불대학교 토목환경공학과) ;
  • 서일원 (서울대학교 토목공학과)
  • Published : 2002.09.01

Abstract

Various Eulerian-Lagrangian models for the one-dimensional longitudinal dispersion equation in nonuniform flow were studied comparatively. In the models studied, the transport equation was decoupled into two component parts by the operator-splitting approach; one part is governing advection and the other is governing dispersion. The advection equation has been solved by using the method of characteristics following fluid particles along the characteristic line and the results were interpolated onto an Eulerian grid on which the dispersion equation was solved by Crank-Nicholson type finite difference method. In the solution of the advection equation, Lagrange fifth, cubic spline, Hermite third and fifth interpolating polynomials were tested by numerical experiment and theoretical error analysis. Among these, Hermite interpolating polynomials are generally superior to Lagrange and cubic spline interpolating polynomials in reducing both dissipation and dispersion errors.

Keywords

Eulerian-Lagrangian model;dispersion equation;operator-splitting approach;method of characteristics

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