Improved averaging-based finite-difference schemes for the convection-diffusion equation

Jahan, Labiba Nusrat (2019) Improved averaging-based finite-difference schemes for the convection-diffusion equation. Masters thesis, Memorial University of Newfoundland.

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Convection and diffusion have significant effect on reservoir flow systems. To represent the reservoir properly, these effects are encountered in models of reservoir engineering. Many researchers have worked on the convection-diffusion equations. Barakat and Clark considered a diffusion equation in 1966 and proposed a new explicit finite-difference scheme which gives a better result with less error using an averaging of two lower-order schemes. Bokhari and Islam extended this work to solve convection-diffusion equations and claimed to get the accuracy of

Item Type: Thesis (Masters)
Item ID: 13778
Additional Information: Includes bibliographical references (pages 94-109).
Keywords: Finite-difference schemes, convection-diffusion equation, Barakat-Clark Scheme, Bokhari-Islam Scheme, error analysis
Department(s): Engineering and Applied Science, Faculty of
Date: May 2019
Date Type: Submission
Library of Congress Subject Heading: Finite differences; Heat equations; Flow assurance (Petroleum engineering)

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