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  Two-fluid formulation of the cloud-top mixing layer for direct numerical simulation

Mellado, J., Stevens, B., Schmidt, H., & Peters, N. (2010). Two-fluid formulation of the cloud-top mixing layer for direct numerical simulation. Theoretical and Computational Fluid Dynamics, 24, 511-536. doi:10.1007/s00162-010-0182-x.

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TheorCompFluidDyn_24-511.pdf (Publisher version), 600KB
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 Creators:
Mellado, JP.1, 2, Author           
Stevens, B.1, Author                 
Schmidt, H., Author
Peters, N., Author
Affiliations:
1The Atmosphere in the Earth System, MPI for Meteorology, Max Planck Society, ou_913550              
2Max Planck Research Group Turbulent Mixing Processes in the Earth System, The Atmosphere in the Earth System, MPI for Meteorology, Max Planck Society, ou_913573              

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Free keywords: Free convection; Free turbulent flows; Multiphase; Stratocumulus clouds
 Abstract: A mixture fraction formulation to perform direct numerical simulations of a disperse and dilute two-phase system consisting of water liquid and vapor in air in local thermodynamic equilibrium using a two-fluid model is derived and discussed. The goal is to understand the assumptions intrinsic to this simplified but commonly employed approach for the study of two-layer buoyancy reversing systems like the cloud-top mixing layer. Emphasis is placed on molecular transport phenomena. In particular, a formulation is proposed that recovers the actual nondiffusive liquid-phase continuum as a limiting case of differential diffusion. High-order numerical schemes suitable for direct numerical simulations in the compressible and Boussinesq limits are described, and simulations are presented to validate the incompressible approach. As expected, the Boussinesq approximation provides an accurate and efficient description of the flow on the scales (of the order of meters) that are considered.

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Language(s): eng - English
 Dates: 2010-12
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: eDoc: 446504
DOI: 10.1007/s00162-010-0182-x
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Title: Theoretical and Computational Fluid Dynamics
Source Genre: Journal
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Pages: - Volume / Issue: 24 Sequence Number: - Start / End Page: 511 - 536 Identifier: -