Abstract

Abstract

Highlights

  • Flows over curved surfaces, involving unsteady separation and reattachment in space and time, occur in numerous engineering applications, such as engine nacelles, curved ducts, bluff bodies and so on

  • Chung & Pullin (2009) proposed the virtual wall model, which dynamically couples the outer resolved region with the inner wall region, and offers a slip velocity boundary condition for the filtered velocity field on the ‘virtual’ wall. This wall model has been successfully deployed in canonical flows without separation (Inoue & Pullin 2011; Saito, Pullin & Inoue 2012), and extended by Cheng, Pullin & Samtaney (2015) to simulate flat-plate turbulent boundary layer flows with separation and reattachment

  • We have presented results from LES of turbulent flow in a channel constricted by streamwise periodically distributed hills at Reh = 10 595, 33 000 and 105

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Summary

Introduction

Flows over curved surfaces, involving unsteady separation and reattachment in space and time, occur in numerous engineering applications, such as engine nacelles, curved ducts, bluff bodies and so on. Chung & Pullin (2009) proposed the virtual wall model, which dynamically couples the outer resolved region with the inner wall region, and offers a slip velocity boundary condition for the filtered velocity field on the ‘virtual’ wall This wall model has been successfully deployed in canonical flows without separation (Inoue & Pullin 2011; Saito, Pullin & Inoue 2012), and extended by Cheng, Pullin & Samtaney (2015) to simulate flat-plate turbulent boundary layer flows with separation and reattachment. This virtual wall model was extended to generalized curvilinear coordinates by Gao et al (2019) and utilized in WMLES for flow past airfoils. We include the details of the wall model, the SGS model and the numerical methods in appendices for the sake of completeness

Flow configuration
Governing equations
Boundary conditions
Wall model
Case Method Reh
Summary of numerical cases
Numerical results for statistically averaged quantities
Reynolds number effects at the bottom wall: separation and reattachment
Mean separation and reattachment: distribution of Cf
Skin friction coefficient Cf inside the separation zone
Separation bubble size
Scaling of streamwise velocity profiles in the separation zone
Pressure fluctuations
Instantaneous skin friction fields: on instantaneous bubbles
Flow at the top wall: comparisons with plane channel flows
K1 log
Mean velocities and turbulent intensities
Conclusion
Findings
Slip velocity boundary conditions
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