Rapidly decorrelating velocity-field model as a tool for solving one-point Fokker-Planck equations for probability density functions of turbulent reactive scalars
Light is shed upon Eulerian Monte Carlo methods and their application to the simulation of turbulent reactive flows. A rapid decorrelating velocity-field model is used to derive stochastic partial differential equations (SPDE's) stochastically equivalent to the modeled one-point joint probabili...
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| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 72; no. 1 Pt 2; p. 016301 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.07.2005
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| Online Access | Get more information |
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| Summary: | Light is shed upon Eulerian Monte Carlo methods and their application to the simulation of turbulent reactive flows. A rapid decorrelating velocity-field model is used to derive stochastic partial differential equations (SPDE's) stochastically equivalent to the modeled one-point joint probability density function of turbulent reactive scalars. Those SPDE's are shown to be hyperbolic, advection-reaction equations. They are dealt with in a generalized sense, so that discontinuities in the scalar fields can be treated. A numerical analysis is proposed and numerical tests are carried out. In particular, a comparison with the Lagrangian Monte Carlo method is performed. |
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| ISSN: | 1539-3755 |
| DOI: | 10.1103/PhysRevE.72.016301 |