Effect of artificial viscosity on shocked particle-laden flows for staggered grid Lagrangian methods

Barclay, Paul Linford; Harrison, Alan Kent

doi:10.1007/s40571-024-00890-0

Effect of artificial viscosity on shocked particle-laden flows for staggered grid Lagrangian methods

Journal Article · Fri Jan 17 00:00:00 EST 2025 · Computational Particle Mechanics

DOI:https://doi.org/10.1007/s40571-024-00890-0· OSTI ID:2502121

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Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Shocked particle-laden flows are important to many natural and industrial processes. When simulating these systems, artificial viscosity is often required to prevent numerical artifacts, such as ringing, from arising in the pressure and density fields. The linear and quadratic coefficients of the artificial viscosity determine the amount of smoothing that occurs in these fields. For particle-laden flows, however, many of the fluid–particle interaction forces, for example, the pressure gradient force and unsteady forces, depend on gradients in the fluid fields. Furthermore, while the shock passes over a particle, these forces can be more dominant than drag. This means that the artificial viscosity coefficients affect how a particle and fluid interact when simulating shocked particle systems. Here this effect is investigated for isolated particles and for a particle curtain using a staggered grid Lagrangian approach. The artificial viscosity coefficients have a significant impact on the maximum force that a fluid imparts to a particle, which is important for determining whether a particle will break up in response to the shock. Furthermore, it is found that the density ratio between the particle and the fluid is important in determining whether the artificial viscosity coefficients have a significant impact on the particle’s motion.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 2502121

Alternate ID(s):: OSTI ID: 2999921

Report Number(s):: LA-UR--24-20252; 10.1007/s40571-024-00890-0

Journal Information:: Computational Particle Mechanics, Journal Name: Computational Particle Mechanics Journal Issue: 3 Vol. 12; ISSN 2196-4378; ISSN 2196-4386

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (65)

Artificial viscosity: back to the basics: ARTIFICIAL VISCOSITY: BACK TO THE BASICS Mattsson, Ann E.; Rider, W. J. International Journal for Numerical Methods in Fluids, Vol. 77, Issue 7 https://doi.org/10.1002/fld.3981	journal	November 2014
A 3D finite element ALE method using an approximate Riemann solution: 3D FINITE ELEMENT ALE METHOD Chiravalle, V. P.; Morgan, N. R. International Journal for Numerical Methods in Fluids, Vol. 83, Issue 8 https://doi.org/10.1002/fld.4284	journal	August 2016
Elimination of Artificial Grid Distortion and Hourglass-Type Motions by Means of Lagrangian Subzonal Masses and Pressures Caramana, E. J.; Shashkov, M. J. Journal of Computational Physics, Vol. 142, Issue 2 https://doi.org/10.1006/jcph.1998.5952	journal	May 1998
Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations Caramana, E. J.; Shashkov, M. J.; Whalen, P. P. Journal of Computational Physics, Vol. 144, Issue 1 https://doi.org/10.1006/jcph.1998.5989	journal	July 1998
The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy Caramana, E. J.; Burton, D. E.; Shashkov, M. J. Journal of Computational Physics, Vol. 146, Issue 1 https://doi.org/10.1006/jcph.1998.6029	journal	October 1998
A Tensor Artificial Viscosity Using a Mimetic Finite Difference Algorithm Campbell, J. C.; Shashkov, M. J. Journal of Computational Physics, Vol. 172, Issue 2 https://doi.org/10.1006/jcph.2001.6856	journal	September 2001
The reality of artificial viscosity Margolin, L. G. Shock Waves, Vol. 29, Issue 1 https://doi.org/10.1007/s00193-018-0810-8	journal	February 2018
Artificial viscosity—then and now Margolin, L. G.; Lloyd-Ronning, N. M. Meccanica, Vol. 58, Issue 6 https://doi.org/10.1007/s11012-022-01541-5	journal	June 2022
On the dispersed two-phase flow in the laminar flow regime Zuber, N. Chemical Engineering Science, Vol. 19, Issue 11 https://doi.org/10.1016/0009-2509(64)85067-3	journal	November 1964
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws Sod, Gary A. Journal of Computational Physics, Vol. 27, Issue 1 https://doi.org/10.1016/0021-9991(78)90023-2	journal	April 1978
Use of artificial viscosity in multidimensional fluid dynamic calculations Wilkins, Mark L. Journal of Computational Physics, Vol. 36, Issue 3 https://doi.org/10.1016/0021-9991(80)90161-8	journal	July 1980
VMD: Visual molecular dynamics Humphrey, William; Dalke, Andrew; Schulten, Klaus Journal of Molecular Graphics, Vol. 14, Issue 1 https://doi.org/10.1016/0263-7855(96)00018-5	journal	February 1996
Relationships between pressure, volatile content and ejecta velocity in three types of volcanic explosion Wilson, Lionel Journal of Volcanology and Geothermal Research, Vol. 8, Issue 2-4 https://doi.org/10.1016/0377-0273(80)90110-9	journal	October 1980
The effects of mesoscale structures on the macroscopic momentum equations for two-phase flows Zhang, Duan Z.; VanderHeyden, W. Brian International Journal of Multiphase Flow, Vol. 28, Issue 5, p. 805-822 https://doi.org/10.1016/S0301-9322(02)00005-8	journal	May 2002
Sediment flow in inclined vessels calculated using a multiphase particle-in-cell model for dense particle flows Snider, D. M.; O’Rourke, P. J.; Andrews, M. J. International Journal of Multiphase Flow, Vol. 24, Issue 8 https://doi.org/10.1016/S0301-9322(98)00030-5	journal	December 1998
Dense solid–liquid off-bottom suspension dynamics: Simulation and experiment Tamburini, A.; Cipollina, A.; Micale, G. Chemical Engineering Research and Design, Vol. 87, Issue 4 https://doi.org/10.1016/j.cherd.2008.12.024	journal	April 2009
A cell centred Lagrangian Godunov scheme for shock hydrodynamics Barlow, A. J.; Roe, P. L. Computers & Fluids, Vol. 46, Issue 1 https://doi.org/10.1016/j.compfluid.2010.07.017	journal	July 2011
Ejecta source and transport modeling in the FLAG hydrocode Fung, J.; Harrison, A. K.; Chitanvis, S. Computers & Fluids, Vol. 83 https://doi.org/10.1016/j.compfluid.2012.08.011	journal	August 2013
A high order cell centred dual grid Lagrangian Godunov scheme Barlow, A. J. Computers & Fluids, Vol. 83 https://doi.org/10.1016/j.compfluid.2013.02.009	journal	August 2013
Locally adaptive artificial viscosity strategies for Lagrangian hydrodynamics Albright, Jason; Shashkov, Mikhail Computers & Fluids, Vol. 205 https://doi.org/10.1016/j.compfluid.2020.104580	journal	June 2020
LAMMPS - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales Thompson, Aidan P.; Aktulga, H. Metin; Berger, Richard Computer Physics Communications, Vol. 271 https://doi.org/10.1016/j.cpc.2021.108171	journal	February 2022
Optimizing Shock Wave Lithotripsy in the 21st Century Argyropoulos, Athanasios N.; Tolley, David A. European Urology, Vol. 52, Issue 2 https://doi.org/10.1016/j.eururo.2007.04.066	journal	August 2007
Ejecta from impact craters Housen, Kevin R.; Holsapple, Keith A. Icarus, Vol. 211, Issue 1 https://doi.org/10.1016/j.icarus.2010.09.017	journal	January 2011
High-fidelity modeling and numerical simulation of cratering induced by the interaction of a supersonic jet with a granular bed of solid particles Balakrishnan, Kaushik; Bellan, Josette International Journal of Multiphase Flow, Vol. 99 https://doi.org/10.1016/j.ijmultiphaseflow.2017.08.008	journal	February 2018
Entropy in self-similar shock profiles Margolin, L. G.; Reisner, J. M.; Jordan, P. M. International Journal of Non-Linear Mechanics, Vol. 95 https://doi.org/10.1016/j.ijnonlinmec.2017.07.003	journal	October 2017
A tensor artificial viscosity using a finite element approach Kolev, Tz. V.; Rieben, R. N. Journal of Computational Physics, Vol. 228, Issue 22 https://doi.org/10.1016/j.jcp.2009.08.010	journal	December 2009
An efficient, second order method for the approximation of the Basset history force van Hinsberg, M. A. T.; ten Thije Boonkkamp, J. H. M.; Clercx, H. J. H. Journal of Computational Physics, Vol. 230, Issue 4 https://doi.org/10.1016/j.jcp.2010.11.014	journal	February 2011
A Lagrangian staggered grid Godunov-like approach for hydrodynamics Morgan, Nathaniel R.; Lipnikov, Konstantin N.; Burton, Donald E. Journal of Computational Physics, Vol. 259 https://doi.org/10.1016/j.jcp.2013.12.013	journal	February 2014
Pairwise-interaction extended point-particle model for particle-laden flows Akiki, G.; Moore, W. C.; Balachandar, S. Journal of Computational Physics, Vol. 351 https://doi.org/10.1016/j.jcp.2017.07.056	journal	December 2017
Approximating the Basset force by optimizing the method of van Hinsberg et al. Casas, G.; Ferrer, A.; Oñate, E. Journal of Computational Physics, Vol. 352 https://doi.org/10.1016/j.jcp.2017.09.060	journal	January 2018
A finite scale model for shock structure Margolin, L. G.; Plesko, C. S.; Reisner, J. M. Physica D: Nonlinear Phenomena, Vol. 403 https://doi.org/10.1016/j.physd.2019.132308	journal	February 2020
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes Lipnikov, Konstantin; Shashkov, Mikhail Procedia Computer Science, Vol. 1, Issue 1 https://doi.org/10.1016/j.procs.2010.04.215	journal	May 2010
Finite scale theory: Predicting nature’s shocks Margolin, L. G.; Plesko, C. S.; Reisner, J. M. Wave Motion, Vol. 98, p. 102647 https://doi.org/10.1016/j.wavemoti.2020.102647	journal	October 2020
Nonlinear mechanics of fluidization of beds of spherical particles Fortes, A. F.; Joseph, D. D.; Lundgren, T. S. Journal of Fluid Mechanics, Vol. 177 https://doi.org/10.1017/S0022112087001046	journal	April 1987
Flow past a sphere with an oscillation in the free-stream velocity and unsteady drag at finite Reynolds number Mei, Renwei; Adrian, Ronald J. Journal of Fluid Mechanics, Vol. 237 https://doi.org/10.1017/S0022112092003434	journal	April 1992
Solitons, solitary waves, and voidage disturbances in gas-fluidized beds Harris, S. E.; Crighton, D. G. Journal of Fluid Mechanics, Vol. 266 https://doi.org/10.1017/S0022112094000996	journal	May 1994
Equation of motion for a sphere in non-uniform compressible flows Parmar, M.; Haselbacher, A.; Balachandar, S. Journal of Fluid Mechanics, Vol. 699 https://doi.org/10.1017/jfm.2012.109	journal	April 2012
Constitutive Models for Filtered Two-Fluid Models of Fluidized Gas–Particle Flows Igci, Yesim; Sundaresan, Sankaran Industrial & Engineering Chemistry Research, Vol. 50, Issue 23 https://doi.org/10.1021/ie200190q	journal	December 2011
Crater ejecta scaling laws: Fundamental forms based on dimensional analysis Housen, K. R.; Schmidt, R. M.; Holsapple, K. A. Journal of Geophysical Research, Vol. 88, Issue B3 https://doi.org/10.1029/JB088iB03p02485	journal	January 1983
Shock wave lithotripsy: advances in technology and technique Lingeman, James E.; McAteer, James A.; Gnessin, Ehud Nature Reviews Urology, Vol. 6, Issue 12 https://doi.org/10.1038/nrurol.2009.216	journal	December 2009
Effect of turbulence on the drag and lift of a particle Bagchi, P.; Balachandar, S. Physics of Fluids, Vol. 15, Issue 11 https://doi.org/10.1063/1.1616031	journal	November 2003
A Method for the Numerical Calculation of Hydrodynamic Shocks VonNeumann, J.; Richtmyer, R. D. Journal of Applied Physics, Vol. 21, Issue 3 https://doi.org/10.1063/1.1699639	journal	March 1950
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments Ling, Y.; Wagner, J. L.; Beresh, S. J. Physics of Fluids, Vol. 24, Issue 11 https://doi.org/10.1063/1.4768815	journal	November 2012
The added mass, Basset, and viscous drag coefficients in nondilute bubbly liquids undergoing small‐amplitude oscillatory motion Sangani, A. S.; Zhang, D. Z.; Prosperetti, A. Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 12 https://doi.org/10.1063/1.857838	journal	December 1991
On the Origins of Lagrangian Hydrodynamic Methods Morgan, Nathaniel R.; Archer, Billy J. Nuclear Technology, Vol. 207, Issue sup1 https://doi.org/10.1080/00295450.2021.1913034	journal	November 2021
Geophysical granular and particle-laden flows: review of the field Hutter, Kolumban Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 363, Issue 1832 https://doi.org/10.1098/rsta.2005.1591	journal	July 2005
On the unsteady inviscid force on cylinders and spheres in subcritical compressible flow Parmar, M.; Haselbacher, A.; Balachandar, S. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1873 https://doi.org/10.1098/rsta.2008.0027	journal	March 2008
Numerical calculation of the particle–fluid–particle stress in random arrays of fixed particles Wang, Min; Yang, Yunchao; Zhang, Duan Z. Physical Review Fluids, Vol. 6, Issue 10 https://doi.org/10.1103/PhysRevFluids.6.104306	journal	October 2021
Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow Parmar, M.; Haselbacher, A.; Balachandar, S. Physical Review Letters, Vol. 106, Issue 8 https://doi.org/10.1103/PhysRevLett.106.084501	journal	February 2011
Is Random Close Packing of Spheres Well Defined? Torquato, S.; Truskett, T. M.; Debenedetti, P. G. Physical Review Letters, Vol. 84, Issue 10, p. 2064-2067 https://doi.org/10.1103/PhysRevLett.84.2064	journal	March 2000
Verification and Validation of the FLAG Hydrocode for Impact Cratering Simulations Caldwell, Wendy K.; Hunter, Abigail; Plesko, Catherine S. Journal of Verification, Validation and Uncertainty Quantification, Vol. 3, Issue 3 https://doi.org/10.1115/1.4042516	journal	September 2018
Turbulent Dispersed Multiphase Flow Balachandar, S.; Eaton, John K. Annual Review of Fluid Mechanics, Vol. 42, Issue 1 https://doi.org/10.1146/annurev.fluid.010908.165243	journal	January 2010
On the Partial Difference Equations of Mathematical Physics Courant, R.; Friedrichs, K.; Lewy, H. IBM Journal of Research and Development, Vol. 11, Issue 2 https://doi.org/10.1147/rd.112.0215	journal	March 1967
NIST Reference Fluid Thermodynamic and Transport Properties Database (REFPROP) Version 10 - SRD 23 Huber, Marcia; Harvey, Allan; Lemmon, Eric National Institute of Standards and Technology https://doi.org/10.18434/T4/1502528	dataset	January 2018
Implementation and Validation of the BHR Turbulence Model in the FLAG Hydrocode Denissen, Nicholas A.; Fung, Jimmy; Reisner, Jon M. https://doi.org/10.2172/1050005	report	August 2012
A Numerical Method for Treating Fluid Flow in the Presence of Shocks Landshoff, R. https://doi.org/10.2172/4364774	report	January 1955
CEL: A Time-Dependent, Two-Space-Dimensional, Coupled Eulerian-Lagrange Code Cel Noh, W. F. https://doi.org/10.2172/4621975	report	August 1963
Compressibility and Rarefaction Effects on Drag of a Spherical Particle Loth, E. AIAA Journal, Vol. 46, Issue 9 https://doi.org/10.2514/1.28943	journal	September 2008
Improved Drag Correlation for Spheres and Application to Shock-Tube Experiments Parmar, M.; Haselbacher, A.; Balachandar, S. AIAA Journal, Vol. 48, Issue 6 https://doi.org/10.2514/1.J050161	journal	June 2010
Thruster Plume Surface Interactions: Applications for Spacecraft Landings on Planetary Bodies Mehta, Manish; Sengupta, Anita; Renno, Nilton O. AIAA Journal, Vol. 51, Issue 12 https://doi.org/10.2514/1.J052408	journal	December 2013
Supersonic and Hypersonic Drag Coefficients for a Sphere Loth, Eric; Tyler Daspit, John; Jeong, Michael AIAA Journal https://doi.org/10.2514/1.J060153	journal	July 2021
Comment on “Compressibility and Rarefaction Effects on Drag of a Spherical Particle” Harrison, Alan K. AIAA Journal https://doi.org/10.2514/1.J060681	journal	June 2021
Discrete regularization Margolin, Len; Plesko, Catherine Evolution Equations & Control Theory, Vol. 8, Issue 1 https://doi.org/10.3934/eect.2019007	journal	January 2019
Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme Maire, Pierre-Henri; Loubère, Raphaël; Váchal, Pavel Communications in Computational Physics, Vol. 10, Issue 4 https://doi.org/10.4208/cicp.170310.251110a	journal	October 2011
Ballistic ejecta and eruption condition of the vulcanian explosion of Shinmoedake volcano, Kyushu, Japan on 1 February, 2011 Maeno, Fukashi; Nakada, Setsuya; Nagai, Masashi Earth, Planets and Space, Vol. 65, Issue 6 https://doi.org/10.5047/eps.2013.03.004	journal	June 2013

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