CFD-DEM solution verification: Fixed-bed studies

Fullmer, William D.; Musser, Jordan

doi:10.1016/j.powtec.2018.08.044

Title: CFD-DEM solution verification: Fixed-bed studies

Abstract

Fixed (frozen) particle configurations are used to study CFD-DEM convergence behavior in the limit of infinite grid resolution. A filtering scheme based on solving a diffusion equation, i.e., a Gaussian kernel, is used to interpolate particle information to the continuum grid, free of cell size limitations. A regression method is used for Richardson extrapolation of the discrete solutions to the grid-free solution. The regression method is shown to predict accurate extrapolation curves in the presence of the observed oscillatory convergence behavior. The extrapolation curve is used to complete the solution verification process by quantifying the numerical uncertainty present in the calculations. Several numerical and model parameters are studied including the spatial discretization method, the kernel width and the mean drag law. Here, a manageable level of discretization error is found with relative discretization errors generally <4%.

Authors:

Fullmer, William D. ^[1]; Musser, Jordan ^[2]

National Energy Technology Lab. (NETL), Morgantown, WV (United States); AECOM, Morgantown, WV (United States)
National Energy Technology Lab. (NETL), Morgantown, WV (United States)

Publication Date:: Tue Aug 21 00:00:00 EDT 2018

Research Org.:: National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)

Sponsoring Org.:: FE; USDOE

OSTI Identifier:: 1509722

Alternate Identifier(s):: OSTI ID: 1776167

Report Number(s):: CONTR-PUB-371
Journal ID: ISSN 0032-5910

Grant/Contract Number:: FE0004000

Resource Type:: Accepted Manuscript

Journal Name:: Powder Technology

Additional Journal Information:: Journal Volume: 339; Journal Issue: C; Journal ID: ISSN 0032-5910

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats


                    Fullmer, William D., and Musser, Jordan. CFD-DEM solution verification: Fixed-bed studies.  United States: N. p., 2018. 
Web.  doi:10.1016/j.powtec.2018.08.044.

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                    Fullmer, William D., & Musser, Jordan. CFD-DEM solution verification: Fixed-bed studies.  United States.  https://doi.org/10.1016/j.powtec.2018.08.044

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                    Fullmer, William D., and Musser, Jordan. Tue .  
"CFD-DEM solution verification: Fixed-bed studies".  United States.  https://doi.org/10.1016/j.powtec.2018.08.044.  https://www.osti.gov/servlets/purl/1509722.

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@article{osti_1509722,

  title        = {CFD-DEM solution verification: Fixed-bed studies},

  author       = {Fullmer, William D. and Musser, Jordan},

  abstractNote = {Fixed (frozen) particle configurations are used to study CFD-DEM convergence behavior in the limit of infinite grid resolution. A filtering scheme based on solving a diffusion equation, i.e., a Gaussian kernel, is used to interpolate particle information to the continuum grid, free of cell size limitations. A regression method is used for Richardson extrapolation of the discrete solutions to the grid-free solution. The regression method is shown to predict accurate extrapolation curves in the presence of the observed oscillatory convergence behavior. The extrapolation curve is used to complete the solution verification process by quantifying the numerical uncertainty present in the calculations. Several numerical and model parameters are studied including the spatial discretization method, the kernel width and the mean drag law. Here, a manageable level of discretization error is found with relative discretization errors generally <4%.},

  doi          = {10.1016/j.powtec.2018.08.044},

  journal      = {Powder Technology},

  number       = C,

  volume       = 339,

  place        = {United States},

  year         = {Tue Aug 21 00:00:00 EDT 2018},

  month        = {Tue Aug 21 00:00:00 EDT 2018}

}

Copy to clipboard

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https://doi.org/10.1016/j.powtec.2018.08.044

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Title: CFD-DEM solution verification: Fixed-bed studies

Abstract

Citation Formats

Assessment of numerical uncertainty for the calculations of turbulent flow over a backward-facing step journal, January 2005

Numerical Simulation of Dense Gas-Solid Fluidized Beds: A Multiscale Modeling Strategy journal, January 2008

The Clustering Instability in Rapid Granular and Gas-Solid Flows journal, January 2017

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Influence of void fraction calculation on fidelity of CFD-DEM simulation of gas-solid bubbling fluidized beds journal, March 2014

On fluid–particle dynamics in fully developed cluster-induced turbulence journal, September 2015

Fine-particle defluidization: Interaction between cohesion, Young׳s modulus and static bed height journal, May 2016

A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies journal, April 2014

Open-source MFIX-DEM software for gas–solids flows: Part I—Verification studies journal, April 2012

Design principles for bounded higher-order convection schemes – a unified approach journal, May 2007

An Euler–Lagrange strategy for simulating particle-laden flows journal, April 2013

Diffusion-based coarse graining in hybrid continuum–discrete solvers: Applications in CFD–DEM journal, June 2015

Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres journal, January 2007

Clustering instabilities in sedimenting fluid–solid systems: critical assessment of kinetic-theory-based predictions using direct numerical simulation data journal, June 2017

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method journal, July 1979

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Modeling of dense gas–solid reactive mixtures applied to biomass pyrolysis in a fluidized bed journal, December 2001

The first effects of fluid inertia on flows in ordered and random arrays of spheres journal, November 2001

Moderate-Reynolds-number flows in ordered and random arrays of spheres journal, November 2001

Extension of Hill–Koch–Ladd drag correlation over all ranges of Reynolds number and solids volume fraction journal, March 2006

Measurements of pressure drop and particle velocity in a pseudo 2-D rectangular bed with Geldart Group D particles journal, April 2016

Quantifying the uncertainty introduced by discretization and time-averaging in two-fluid model predictions journal, July 2017

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Assessment of numerical uncertainty for the calculations of turbulent flow over a backward-facing step
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Numerical Simulation of Dense Gas-Solid Fluidized Beds: A Multiscale Modeling Strategy
journal, January 2008

The Clustering Instability in Rapid Granular and Gas-Solid Flows
journal, January 2017

Accurate numerical estimation of interphase momentum transfer in Lagrangian–Eulerian simulations of dispersed two-phase flows
journal, December 2007

Influence of void fraction calculation on fidelity of CFD-DEM simulation of gas-solid bubbling fluidized beds
journal, March 2014

On fluid–particle dynamics in fully developed cluster-induced turbulence
journal, September 2015

Fine-particle defluidization: Interaction between cohesion, Young׳s modulus and static bed height
journal, May 2016

A procedure for the estimation of the numerical uncertainty of CFD calculations based on grid refinement studies
journal, April 2014

Open-source MFIX-DEM software for gas–solids flows: Part I—Verification studies
journal, April 2012

Design principles for bounded higher-order convection schemes – a unified approach
journal, May 2007

An Euler–Lagrange strategy for simulating particle-laden flows
journal, April 2013

Diffusion-based coarse graining in hybrid continuum–discrete solvers: Applications in CFD–DEM
journal, June 2015

Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres
journal, January 2007

Clustering instabilities in sedimenting fluid–solid systems: critical assessment of kinetic-theory-based predictions using direct numerical simulation data
journal, June 2017

Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
journal, July 1979

A bubbling fluidization model using kinetic theory of granular flow
journal, April 1990

Modeling of dense gas–solid reactive mixtures applied to biomass pyrolysis in a fluidized bed
journal, December 2001

The first effects of fluid inertia on flows in ordered and random arrays of spheres
journal, November 2001

Moderate-Reynolds-number flows in ordered and random arrays of spheres
journal, November 2001

Extension of Hill–Koch–Ladd drag correlation over all ranges of Reynolds number and solids volume fraction
journal, March 2006

Measurements of pressure drop and particle velocity in a pseudo 2-D rectangular bed with Geldart Group D particles
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