A Monte Carlo method for the PDF equations of turbulent flow
A Monte Carlo method is presented which simulates the transport equations of joint probability density functions (pdf's) in turbulent flows. (Finite-difference solutions of the equations are impracticable, mainly because of the large dimensionality of the pdf's.) Attention is focused on an...
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Cambridge : Massachusetts Institute of Technology, Energy Laboratory, 1980
2011
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| Online Access: | http://hdl.handle.net/1721.1/60525 |
| _version_ | 1826210425833783296 |
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| author | Pope, S. B. |
| author_facet | Pope, S. B. |
| author_sort | Pope, S. B. |
| collection | MIT |
| description | A Monte Carlo method is presented which simulates the transport equations of joint probability density functions (pdf's) in turbulent flows. (Finite-difference solutions of the equations are impracticable, mainly because of the large dimensionality of the pdf's.) Attention is focused on an equation for the joint pdf of chemical and thermodynamic properties in turbulent reactive flows. It is shown that the Monte Carlo method provides a true simulation of this equation, and that the amount of computation required increases only linearly with the number of properties considered. Consequently, the method can be used to solve the pdf equation for turbulent flows involving many chemical species and complex reaction kinetics. Monte Carlo calculations of the pdf of temperature in a turbulent mixing layer are reported. These calculations are in good agreement with the measurements of Batt (1977). |
| first_indexed | 2024-09-23T14:49:41Z |
| id | mit-1721.1/60525 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:49:41Z |
| publishDate | 2011 |
| publisher | Cambridge : Massachusetts Institute of Technology, Energy Laboratory, 1980 |
| record_format | dspace |
| spelling | mit-1721.1/605252019-04-12T11:39:03Z A Monte Carlo method for the PDF equations of turbulent flow Pope, S. B. Turbulence. Fluid dynamics. Monte Carlo method. A Monte Carlo method is presented which simulates the transport equations of joint probability density functions (pdf's) in turbulent flows. (Finite-difference solutions of the equations are impracticable, mainly because of the large dimensionality of the pdf's.) Attention is focused on an equation for the joint pdf of chemical and thermodynamic properties in turbulent reactive flows. It is shown that the Monte Carlo method provides a true simulation of this equation, and that the amount of computation required increases only linearly with the number of properties considered. Consequently, the method can be used to solve the pdf equation for turbulent flows involving many chemical species and complex reaction kinetics. Monte Carlo calculations of the pdf of temperature in a turbulent mixing layer are reported. These calculations are in good agreement with the measurements of Batt (1977). 2011-01-13T18:33:06Z 2011-01-13T18:33:06Z 1980 http://hdl.handle.net/1721.1/60525 06826408 Energy Laboratory report (Massachusetts Institute of Technology. Energy Laboratory) no. MIT-EL 80-012. 54 p application/pdf Cambridge : Massachusetts Institute of Technology, Energy Laboratory, 1980 |
| spellingShingle | Turbulence. Fluid dynamics. Monte Carlo method. Pope, S. B. A Monte Carlo method for the PDF equations of turbulent flow |
| title | A Monte Carlo method for the PDF equations of turbulent flow |
| title_full | A Monte Carlo method for the PDF equations of turbulent flow |
| title_fullStr | A Monte Carlo method for the PDF equations of turbulent flow |
| title_full_unstemmed | A Monte Carlo method for the PDF equations of turbulent flow |
| title_short | A Monte Carlo method for the PDF equations of turbulent flow |
| title_sort | monte carlo method for the pdf equations of turbulent flow |
| topic | Turbulence. Fluid dynamics. Monte Carlo method. |
| url | http://hdl.handle.net/1721.1/60525 |
| work_keys_str_mv | AT popesb amontecarlomethodforthepdfequationsofturbulentflow AT popesb montecarlomethodforthepdfequationsofturbulentflow |