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

Authors: ,

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

Equations, ISSN / E-ISSN: 2944-9146 / 2732-9976, Volume 2, 2022, Art. #5

PDF
DOI
XML
Cite
×
Citation Tools
WSEAS AMA
Idris Gadoura, M. H. Hamdan, "A Fifth-Order-Accurate Finite Difference Scheme for a Natural Coordinate System with Non-Uniform Grid," Equations, vol. 2, pp. 23-30, 2022, DOI:10.37394/232021.2022.2.5
Idris Gadoura, M. H. Hamdan. A Fifth-Order-Accurate Finite Difference Scheme for a Natural Coordinate System with Non-Uniform Grid. Equations. 2022;2:23-30. 10.37394/232021.2022.2.5
Copy to Clipboard
Citation copied to Clipboard

Certification

---