Simulating advective-dispersive transport by finite elements

Criteria for accuracy of an explicit Runge-Kutta method

Md Akram Hossain, Mohd. Raihan Taha

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Galerkin finite element models (GFEMs) are reported to predict advective-dispersive transport more accurately than the traditional finite difference models. The inference is based on either first- or second-order approximation of the time derivative. Accuracy of the GFEM for higher-order temporal discretization is not, however, known. The objective of this paper is to develop a fifth-order explicit Runge-Kutta GFEM (RKG-FEM) and develop criteria to obtain oscillation-free accurate results. The ability of the RKGFEM to provide oscillation-free accurate results is found to be a function of the time length of simulation. In general, the model predictions are oscillation free and accurate when Peclet number, Pe≤40 and Courant number, CrLSEQ1.

Original languageEnglish
Pages (from-to)309-316
Number of pages8
JournalApplied Mathematics and Computation
Volume112
Issue number2
DOIs
Publication statusPublished - 15 Jun 2000

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Runge Kutta methods
Explicit Methods
Runge-Kutta Methods
Galerkin
Finite Element Model
Oscillation
Finite Element
Second-order Approximation
Runge-Kutta
Prediction Model
Finite Difference
Discretization
Peclet number
Higher Order
First-order
Derivative
Predict
Simulation
Derivatives
Model

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Simulating advective-dispersive transport by finite elements : Criteria for accuracy of an explicit Runge-Kutta method. / Akram Hossain, Md; Taha, Mohd. Raihan.

In: Applied Mathematics and Computation, Vol. 112, No. 2, 15.06.2000, p. 309-316.

Research output: Contribution to journalArticle

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