Journal article
Role of pseudo-turbulent stresses in shocked particle clouds and construction of surrogate models for closure
Shock waves, Vol.28(3), pp.579-597
05/2018
DOI: 10.1007/s00193-017-0801-1
Abstract
Macroscale models of shock–particle interactions require closure terms for unresolved solid–fluid momentum and energy transfer. These comprise the effects of mean as well as fluctuating fluid-phase velocity fields in the particle cloud. Mean drag and Reynolds stress equivalent terms (also known as pseudo-turbulent terms) appear in the macroscale equations. Closure laws for the pseudo-turbulent terms are constructed in this work from ensembles of high-fidelity mesoscale simulations. The computations are performed over a wide range of Mach numbers (M) and particle volume fractions ($$\phi )$$
ϕ)
and are used to explicitly compute the pseudo-turbulent stresses from the Favre average of the velocity fluctuations in the flow field. The computed stresses are then used as inputs to a Modified Bayesian Kriging method to generate surrogate models. The surrogates can be used as closure models for the pseudo-turbulent terms in macroscale computations of shock–particle interactions. It is found that the kinetic energy associated with the velocity fluctuations is comparable to that of the mean flow—especially for increasing M and $$\phi $$
ϕ
. This work is a first attempt to quantify and evaluate the effect of velocity fluctuations for problems of shock–particle interactions.
Details
- Title: Subtitle
- Role of pseudo-turbulent stresses in shocked particle clouds and construction of surrogate models for closure
- Creators
- O Sen - 0000 0004 1936 8294 grid.214572.7 Mechanical and Industrial Engineering The University of Iowa Iowa City IA 52242 USAN Gaul - RAMDO Solutions, LLC Iowa City IA 52240 USAS Davis - 0000 0001 0790 1491 grid.263081.e Aerospace Engineering San Diego State University San Diego CA 92115 USAK Choi - 0000 0004 1936 8294 grid.214572.7 Mechanical and Industrial Engineering The University of Iowa Iowa City IA 52242 USAG Jacobs - 0000 0001 0790 1491 grid.263081.e Aerospace Engineering San Diego State University San Diego CA 92115 USAH Udaykumar - 0000 0004 1936 8294 grid.214572.7 Mechanical and Industrial Engineering The University of Iowa Iowa City IA 52242 USA
- Contributors
- David L Frost (Editor)
- Resource Type
- Journal article
- Publication Details
- Shock waves, Vol.28(3), pp.579-597
- DOI
- 10.1007/s00193-017-0801-1
- ISSN
- 0938-1287
- eISSN
- 1432-2153
- Publisher
- Springer Berlin Heidelberg
- Grant note
- FA9950-12-1-0115 / Air Force Office of Scientific Research (http://dx.doi.org/10.13039/100000181)
- Language
- English
- Date published
- 05/2018
- Academic Unit
- IIHR--Hydroscience and Engineering; Injury Prevention Research Center; Mechanical Engineering
- Record Identifier
- 9984121965902771
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