A comparison of methods for interpolating chaotic flows from discrete velocity data

AM Mancho, DM Small, S Wiggins

Research output: Contribution to journalArticle (Academic Journal)peer-review

27 Citations (Scopus)

Abstract

In this paper we consider a variety of schemes for performing interpolation in space and time to allow particle trajectories to be integrated from a velocity field given only on a discrete collection of data points in space and time. Using a widely-studied model of chaotic advection as a test case we give a method for quantifying the quality of interpolation methods and apply this to a variety of interpolation schemes in space only and in both space and time. It is shown that the performance of a method when interpolating in space is not a reliable predictor of its performance when interpolation in time is added. It is demonstrated that a method using bicubic spatial interpolation together with third-order Lagrange polynomials in time gives excellent accuracy at very modest computational expense compared to other methods. (C) 2005 Elsevier Ltd. All rights reserved.
Translated title of the contributionA comparison of methods for interpolating chaotic flows from discrete velocity data
Original languageEnglish
Pages (from-to)416 - 428
JournalComputers and Fluids
Volume35 (4)
Publication statusPublished - May 2006

Bibliographical note

Publisher: Pergamon-Elsevier Science Ltd
Other identifier: IDS Number: 004CA

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