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A two pressure numerical model of two fluid mixing
 SIAM J. Multiscale Model. Simul
"... Abstract. We present a numerical model of two fluid mixing based on hyperbolic equations having complete state variables (velocity, pressure, temperature) for each fluid. The model is designed for the study of acceleration driven mixing layers in a chunk mix regime dominated by large scale coherent ..."
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Abstract. We present a numerical model of two fluid mixing based on hyperbolic equations having complete state variables (velocity, pressure, temperature) for each fluid. The model is designed for the study of acceleration driven mixing layers in a chunk mix regime dominated by large scale coherent mixing structures. The numerical solution of the model is validated by comparison to the incompressible limit. For the purpose of this comparison, we present a newly obtained analytic solution of the pressure equation for this model and an analytic constraint derived from the asymptotic limit of the compressible pressures, which determines uniquely the incompressible pressure solution. The numerical solution is also validated by a mesh convergence study.
Prediction and the Quantification of Uncertainty
, 1998
"... Prediction is based on the comparison of results from the statistical analysis of observational data and from the scientific modeling of the system being observed. Effective prediction imposes new as well as familiar requirements on observation and scientific modeling, as will be reviewed here. W ..."
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Cited by 4 (0 self)
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Prediction is based on the comparison of results from the statistical analysis of observational data and from the scientific modeling of the system being observed. Effective prediction imposes new as well as familiar requirements on observation and scientific modeling, as will be reviewed here. We emphasize issues specific to prediction in the context of technology. Recent results of the authors, colleagues, and others which address these requirements will be presented. PACS: 47.55.Kf, 47.55.Mh, 02.50.r, 02.50.Wp, 02.70.Lq Supported by the Applied Mathematics Subprogram of the U.S. Department of Energy DEFG0290ER25084, the Department of Energy Office of Inertial Fusion, the Army Research Office, grant DAAL0392G0185 and the National Science Foundation, grant DMS9500568. y Supported by the U.S. Department of Energy. 1 Information on Corresponding Author Professor James Glimm Department of Applied Mathematics and Statistics SUNY at Stony Brook Stony Brook NY 11794360...
A multiphase flow model for the unstable mixing of layered incompressible materials
 Brook University Preprint Number
"... In this paper, a model for the unstable mixing of n parallel or concentric incompressible fluid layers is proposed. The approach to constructing this model is pairwise, based on a known two incompressible fluid mixing model. The problem complexity increases significantly in going from two to three ..."
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In this paper, a model for the unstable mixing of n parallel or concentric incompressible fluid layers is proposed. The approach to constructing this model is pairwise, based on a known two incompressible fluid mixing model. The problem complexity increases significantly in going from two to three fluids, but the increase in complexity is relatively small thereafter. We present a detailed study of the n = 3 problem, which displays all of the difficult modeling issues applicable to arbitrary n ≥ 3 while still being reasonably tractable. 1
A MultiTemperature Multiphase Flow Model
, 1999
"... In this paper we propose a multiphase model with nonequilibrated temperatures but with equal velocities and pressures for each species. Turbulent mixing is driven by diffusion in these equations. The closure equations are defined in part by reference to a more exact chunk mix model developed by the ..."
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In this paper we propose a multiphase model with nonequilibrated temperatures but with equal velocities and pressures for each species. Turbulent mixing is driven by diffusion in these equations. The closure equations are defined in part by reference to a more exact chunk mix model developed by the authors and coworkers which has separate pressures, temperatures, and velocities for each species. There are two main results in this paper. The first is to identify a thermodynamic constraint, in the form of a process dependence, for pressure Supported by the U.S. Department of Energy y Supported by the Applied Mathematics Subprogram of the U.S. Department of Energy DEFG0290ER25084, the Department of Energy Office of Inertial Fusion, the Army Research Office, grant DAAG559810313 and the National Science Foundation, grant DMS9732876. z Supported by the U.S. Department of Energy equilibrated models. The second is to determine the diffusion coefficients needed for the closure of th...
Contents lists available at ScienceDirect Computers and Mathematics with Applications
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"... This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal noncommercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or sel ..."
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This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal noncommercial research and education use, including for instruction at the authors institution and sharing with colleagues. Other uses, including reproduction and distribution, or selling or licensing copies, or posting to personal, institutional or third party websites are prohibited. In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier’s archiving and manuscript policies are encouraged to visit: