An analysis of the numerical solution of the transport equation

Citation

Material Information

Title:
An analysis of the numerical solution of the transport equation
Series Title:
Water Resources Research
Creator:
G. Gray, William
F. Pinder, George
Publication Date:
Language:
English

Subjects

Subjects / Keywords:
Transport Equation ( local )
One‐Dimensional ( local )
Convective‐Dispersive Equation ( local )
Genre:
serial ( sobekcm )

Notes

Abstract:
Various finite difference and finite element methods for solving the one‐dimensional convective‐dispersive equation are investigated. A Fourier series analysis is performed to determine the dissipative and dispersive characteristics of these numerical methods. The analysis indicates that the commonly observed phenomenon of overshoot of a concentration pulse is due to the inability of the numerical schemes to propagate the small wavelengths which are important to the description of the front. Furthermore, the numerical smearing of a sharp front is due to dissipation of these small wavelengths. The finite element method was found to be superior to finite difference methods for solution of the convective‐dispersive equation.
Original Version:
Water Resources Research, Vol. 12, no. 3 (1976-06-01).

Record Information

Source Institution:
University of South Florida Library
Holding Location:
University of South Florida
Rights Management:
This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the bounds of Fair Use or other exemptions to copyright law must be obtained from the copyright holder.

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serial

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