[Faculty] Fwd: [CSRC.COLLOQUIUM] "Alternatives to the Beta Distribution in Assumed PDF Methods for Turbulent Reactive Flow"

[Jose Castillo]

[image: SDSU_CSRC Logo.jpg]



DATE:
*Friday, October 30, 2020*



TITLE:

*Alternatives to the Beta Distribution in Assumed PDF Methods for Turbulent
Reactive Flow*


TIME:
*3:30-4:30PM*




LOCATION:
Join Zoom Meeting -  *https://SDSU.zoom.us/j/91071174391*
<https://sdsu.zoom.us/j/91071174391>



SPEAKER/BIO:

*Dr. Pavel Popov, Aerospace Engineering, San Diego State University *






ABSTRACT:


Due to their low computational cost, assumed probability density function
(PDF) methods, such as the flamelet-progress variable (FPV) method, are
widely used for combustion simulations. To model the subgrid variation of
mixture fraction, assumed PDF methods generally use the beta distribution
or one of its multivariate extensions. This work addresses a shortcoming of
the beta distribution when applied to this setting. Regardless of parameter
values, the beta distribution contains the entire sample space of a
conserved scalar, which can be shown to violate the maximum principle of
elliptic partial differential equations. To remedy this, a new class of PDF
is introduced and tested on a conserved scalar mixing problem. The new PDF
do not violate the maximum principle, and are in better quantitative
agreement than the beta distribution with a transported PDF solution, which
is inherently more accurate than assumed PDF solutions. The effects of
residence time are examined, and extensions to multiple mixture fractions
are outlined.




Host: Jose Castillo

Note: Videos of previous colloquium talks can be seen on the CSRC website
in the colloquium archive section or on the CSRC YouTube page here
<https://www.youtube.com/channel/UCN0ZEztlmyDqG2pm-Rle_Eg/feed>.




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