A Fifth-Order-Accurate Finite Difference Scheme for a Natural Coordinate System with Non-Uniform Grid-Reference-Cited by-同舟云学术

A Fifth-Order-Accurate Finite Difference Scheme for a Natural Coordinate System with Non-Uniform Grid

Published:2022-04-19 Issue: Volume:2 Page:23-30
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Author:

Gadoura Idris¹,Hamdan M. H.²

Affiliation:

1. Department of Engineering University of New Brunswick 100 Tucker Park Road, Saint John, New Brunswick, E2L 4L5 CANADA

2. Department of Mathematics and Statistics University of New Brunswick 100 Tucker Park Road, Saint John, New Brunswick, E2L 4L5 CANADA

Abstract

A fifth-order accurate finite difference scheme for the first derivative in von Mises coordinates is developed in this work. The scheme is tested in the computation of boundary vorticity in the study of two-dimensional flow of a viscous fluid in a curvilinear channel. Results obtained show an improvement in the computed solution over fourth-order accurate scheme

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Reference10 articles.

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