In this study, a problem involving steady water infiltration flow from periodic flat channels is considered. The governing equation of the problem is the Richards equation, which can be studied more conveniently by transforming the equation into a modified Helmholtz equation. A dual reciprocity method (DRM) is employed to solve the modified Helmholtz equation, subject to a set of boundary conditions, using different types of radial basis functions. Numerical solutions are then analyzed by comparing the solutions with the corresponding analytic solutions to obtain more suitable radial basis functions.

infiltration, dual reciprocity method, modified Helmholtz equation, radial basis functions.

Received: February 8, 2023; Accepted: March 30, 2023; Published: May 18, 2023

How to cite this article: Ninda Shafira Adillia, Imam Solekhudin and Sumardi, Different radial basis functions for infiltration from periodic flat channels, JP Journal of Heat and Mass Transfer 33 (2023), 21-28. http://dx.doi.org/10.17654/0973576323020

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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