Journal article
Two-way coupled Cloud-In-Cell modeling of non-isothermal particle-laden flows: A Subgrid Particle-Averaged Reynolds Stress-Equivalent (SPARSE) formulation
Journal of computational physics, Vol.390, pp.595-618
08/01/2019
DOI: 10.1016/j.jcp.2019.01.001
Abstract
A two-way coupled Cloud-In-Cell (CIC) formulation for particle-laden flows is presented that accounts for cloud size and subgrid-scale stresses using averaging techniques, and for cloud deformation using methods from continuum mechanics. It traces a physical cloud of particles as a point and distributes its influence on the carrier flow via a multivariate Gaussian distribution function. The method extends the one-way coupled SPARSE (Subgrid Particle-Averaged Reynolds Stress-Equivalent) method in Davis et al. (2017) [20] to account for two-way coupling between the fluid and dispersed phases and the effect of subcloud thermal stresses resulting from fluctuations in the velocity and temperature of the physical particles amalgamated in each macro-particle. Two-dimensional benchmark simulations of a Mach 3.5 normal shock impinging on an initially stationary particle cloud show that the two-way coupled SPARSE model predicts the average cloud position and spread more accurately than a two-way coupled, first-order CIC approach, illustrating the importance of accounting for higher-order moments and cloud deformation. Through an appropriate initial division of the particle cloud into subclouds, SPARSE's predictions of the time-averaged horizontal and vertical cloud spread match those of a reference Particle-Source-In-Cell (PSIC) approach to within less than 4% and 1%, respectively, using up to two orders of magnitude fewer computational particles. This makes SPARSE a suitable tool for enabling accurate process-scale simulations of particle-laden flows that are not feasible with current PSIC or CIC methods.
•Two-way coupled implementation of previously developed SPARSE model.•Particle-to-grid weighing occurs via a multivariate Gaussian distribution function.•SPARSE improves upon existing first-order Cloud-In-Cell (CIC) approaches.•SPARSE enables accurate process-scale particle-laden flow simulations out of reach with Particle-Source-In-Cell methods.•SPARSE provides a powerful visualization tool for cloud dynamics and topology.
Details
- Title: Subtitle
- Two-way coupled Cloud-In-Cell modeling of non-isothermal particle-laden flows: A Subgrid Particle-Averaged Reynolds Stress-Equivalent (SPARSE) formulation
- Creators
- Søren Taverniers - Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182, USAH.S Udaykumar - Department of Mechanical and Industrial Engineering, The University of Iowa, Iowa City, IA 52242-1527, USAGustaaf B Jacobs - Department of Aerospace Engineering, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182, USA
- Resource Type
- Journal article
- Publication Details
- Journal of computational physics, Vol.390, pp.595-618
- DOI
- 10.1016/j.jcp.2019.01.001
- ISSN
- 0021-9991
- eISSN
- 1090-2716
- Publisher
- Elsevier Inc
- Grant note
- DOI: 10.13039/100000181, name: Air Force Office of Scientific Research, award: FA9550-16-1-008; DOI: 10.13039/100000001, name: National Science Foundation, award: 1603326
- Language
- English
- Date published
- 08/01/2019
- Academic Unit
- Injury Prevention Research Center; Mechanical Engineering
- Record Identifier
- 9984121964502771
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