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

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hdl:2117/192971
Document typeArticle
Defense date2010-02-02
Rights accessOpen Access
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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 non diffusive 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.
CitationMellado, J. P. [et al.]. Two-fluid formulation of the cloud-top mixing layer for direct numerical simulation. "Theoretical and computational fluid dynamics", 2 Febrer 2010, vol. 24, p. 511-536.
ISSN0935-4964
Publisher versionhttps://link.springer.com/article/10.1007/s00162-010-0182-x
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