Journal
ANNUAL REVIEW OF FLUID MECHANICS, VOL 52
Volume 52, Issue -, Pages 171-203Publisher
ANNUAL REVIEWS
DOI: 10.1146/annurev-fluid-010719-060317
Keywords
turbulence; porous media; closure; Darcy-Forchheimer law; direct numerical simulation; spatial averaging
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Funding
- National Science Foundation [1336983]
- Directorate For Engineering
- Div Of Chem, Bioeng, Env, & Transp Sys [1336983] Funding Source: National Science Foundation
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Turbulent flows in porous media occur in a wide variety of applications, from catalysis in packed beds to heat exchange in nuclear reactor vessels. In this review, we summarize the current state of the literature on methods to model such flows. We focus on a range of Reynolds numbers, covering the inertial regime through the asymptotic turbulent regime. The review emphasizes both numerical modeling and the development of averaged (spatially filtered) balances over representative volumes of media. For modeling the pore scale, we examine the recent literature on Reynolds-averaged Navier Stokes (RANS) models, large-eddy simulation (LES) models, and direct numerical simulations (DNS). We focus on the role of DNS and discuss how spatially averaged models might be closed using data computed from DNS simulations. A Darcy Forchheimer-type law is derived, and a prior computation of the permeability and Forchheimer coefficient is presented and compared with existing data.
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