Abstract
This article discusses adjusting inverse distance interpolation for use in unstructured mesh finite volume solutions. The adjustment was made on the weight function of the inverse distance interpolation using the Laplacian of the flow variable inside a Voronoi-dual of finite volume cells. We tested the accuracy of the adjusted inverse distance interpolation on two-dimensional potential flows. It was found that the adjusted and standard inverse distance interpolations have a similar degree of accuracy when used in unstructured, Delaunay based, finite volume mesh. However, the L1 norm error of the adjusted version of the inverse distance interpolation was much smaller than the L1 norm error of the standard version.
Highlights
Interpolation methods are one of the key issues for accurate and efficient implementation of the finite volume method [1,2]
The scheme was firstly suggested by Sheppard [3] for used as an interpolation scheme of discrete data. This method was adopted to the finite volume method by Frink [4], even by the most popular commercial CFD, Fluent [5]
Inverse Distance Weighted (IDW) interpolation was found to be inaccurate, especially when the sample points are distributed in the form of clusters [8, 9]
Summary
(2022) SLIDING WEAR CHARACTERISTICS OF BORON CARBIDE AND NOVEL SQUID QUILL ASH INVERSE DISTANCE INTERPOLATION FOR USED IN UNSTRUCTURED MESH FINITE VOLUME SOLVER, Journal of Applied Engineering Science, 20(2), 597 - 601, DOI:10.5937/ jaes0-34022. Online aceess of full paper is available at: www.engineeringscience.rs/browse-issues
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