A perspective on machine learning methods in turbulence modeling. Issue 1 (4th March 2021)

• Record Type: Journal Article
• Authors: Beck, Andrea; Kurz, Marius
• Other Names: Benner Peter guestEditor.; Klawonn Axel guestEditor.; Stoll Martin guestEditor.
• Is Part Of: Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik. Volume 44:Issue 1(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-03-04
• Subjects: closure models -- LES -- machine learning -- RANS -- turbulence simulation; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; 510.5
• DOI: 10.1002/gamm.202100002
• Languages: English
• ISSNs: 0936-7195

Abstract

Abstract: This work presents a review of the current state of research in data‐driven turbulence closure modeling. It offers a perspective on the challenges and open issues but also on the advantages and promises of machine learning (ML) methods applied to parameter estimation, model identification, closure term reconstruction, and beyond, mostly from the perspective of large Eddy simulation and related techniques. We stress that consistency of the training data, the model, the underlying physics, and the discretization is a key issue that needs to be considered for a successful ML‐augmented modeling strategy. In order to make the discussion useful for non‐experts in either field, we introduce both the modeling problem in turbulence as well as the prominent ML paradigms and methods in a concise and self‐consistent manner. In this study, we present a survey of the current data‐driven model concepts and methods, highlight important developments, and put them into the context of the discussed challenges.