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  • 1
    Electronic Resource
    Electronic Resource
    Monte Carlo implementation and analytic solution of an inert-scalar turbulent-mixing test problem using a mapping closure (1991)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 3 (1991), S. 2191-2198 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple generalization, using a time-dependent Gaussian scalar field, of a mapping closure recently proposed by Chen et al. [Phys. Rev. Lett. 63, 2657 (1989)] to model molecular mixing, enhanced by turbulent straining, for a fluctuating scalar field is presented and Monte Carlo implemented. An arbitrary parameter β allows the adjustment of the Gaussian-scalar dissipation rate; the actual scalar field evolution is, however, independent of β. An analytic solution is obtained for the turbulent mixing of cells with two different values of the scalar content and simple symmetric initial conditions. Numerical results for this problem are produced, combining the Monte Carlo simulation and the analytic solution, in order to show the feasibility of this technique and its accuracy. Future extensions are outlined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857900
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Monte Carlo implementation of a single-scalar mapping closure for diffusion in the presence of chemical reaction (1992)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 4 (1992), S. 2062-2069 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: It is shown how to implement, via a Monte Carlo method, a single-scalar mapping closure for diffusion when chemical reactions or other processes are present. The mixing term in the one-point probability density function (pdf) equation of the scalar is closed via a mapping. The chemical term, closed in the pdf formulation, is treated exactly. To isolate each process, a fractional step technique is used. The methodology is the same if more processes are present. As an example, the pdf equation of one scalar reacting with itself in a statistically homogeneous forced turbulent flow is solved. Comparisons with computed direct numerical simulation data are excellent.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858376
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Multiscalar mapping closure for mixing in homogeneous turbulence (1995)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 144-152 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A new methodology to use mapping closures for the mixing of several scalars in homogeneous turbulence is explained. The main idea is the unidimensional mapping for each scalar, with the cross-dissipation handled by a joint reference field. A restricted and a general closure are described. A Monte Carlo code based on a fractional step technique has been developed. As an example, the segregated double-delta two-scalar mixing is analytically and numerically solved and predictions are shown. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868735
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    A closed probability density function evolution equation for stochastic diffusion (1994)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 6 (1994), S. 3195-3196 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A closed probability density function (PDF) evolution equation is obtained for a homogeneous scalar field undergoing stochastic diffusion. The closure assumes that the scalar field is made up of an ensemble of one-dimensional periodic waves.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868434
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    A Field Monte Carlo Formulation for Calculating the Probability Density Function of a Single Scalar in a Turbulent Flow (1998)
    Springer
    Flow, turbulence and combustion 60 (1998), S. 157-172 
    Details
    ISSN: 1573-1987
    Keywords: PDF ; Monte Carlo ; turbulent ; partial stochastic differential
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract The probability density function (PDF) formulation of one scalar field undergoing diffusion, turbulent convection and chemical reaction is restated in terms of stochastic fields. These fields are smooth in space as they have a length scale similar to that of the PDF. Their evolution is described by a set of stochastic partial differential equations, which are solved using a finite volume scheme with a stochastic source term. The application of this methodology to a particular flow is shown first for a linear source term, with exact analytical solution for the mean and standard deviation, and then for a nonlinear reaction.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1009968902446
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    Paper (German National Licenses)
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