Data-Driven Dynamical System Models of Roughness-Induced Secondary Flows in Thermally Stratified Boundary Layers

Christoffer Hansen, Xiang I. A. Yang, Mahdi Abkar

Research output: Contribution to book/anthology/report/proceedingArticle in proceedingsResearchpeer-review


The goal of this work is to investigate the feasibility of constructing data-driven dynamical system models of roughness-induced secondary flows in thermally stratified turbulent boundary layers. Considering the case of a surface roughness distribution which is homogeneous and heterogeneous in the streamwise and spanwise directions, respectively, we describe the streamwise averaged in-plane motions via a stream function formulation, thereby reducing the number of variables to the streamwise velocity component, an appropriately introduced stream function, and the temperature. Then, from the results of large-eddy simulations, we perform a modal decomposition of each variable with the proper orthogonal decomposition and further utilize the temporal dynamics of the modal coefficients to construct a datadriven dynamical system model by applying the sparse identification of nonlinear dynamics (SINDy). We also present a novel approach for enforcing spanwise reflection symmetry within the SINDy framework to incorporate a physical bias.

Original languageEnglish
Title of host publicationMultiphase Flow (MFTC); Computational Fluid Dynamics (CFDTC); Micro and Nano Fluid Dynamics (MNFDTC)
Number of pages10
PublisherAmerican Society of Mechanical Engineers (ASME)
Publication dateSept 2022
Article numberFEDSM2022-87630, V002T05A023
ISBN (Electronic)978-0-7918-8584-0
Publication statusPublished - Sept 2022
EventASME 2022 Fluids Engineering Division Summer Meeting - Toronto, Canada
Duration: 3 Aug 20225 Aug 2022


ConferenceASME 2022 Fluids Engineering Division Summer Meeting
SeriesAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM


Dive into the research topics of 'Data-Driven Dynamical System Models of Roughness-Induced Secondary Flows in Thermally Stratified Boundary Layers'. Together they form a unique fingerprint.

Cite this