On the optimal numerical time integration for Lagrangian DEM within implicit flow solvers
On the optimal numerical time integration for Lagrangian DEM within implicit flow solvers
We investigate a selection of nominally first, second and fourth order time integration schemes with application to particle collision simulation using the discrete element method (DEM). The motivation being the typical requirement to efficiently two-way couple a continuum flow obtained with a finite volume solver employing an iterative implicit solution method to Lagrangian DEM. Using the linear force model to simulate particle repulsion, the actual order of accuracy with respect to initial separation (‘free motion’), timestep, stiffness, damping and impact velocity is investigated. Due to the discontinuities of the inter-particle repulsive force upon contact, we find that without damping, the numerical schemes tested are generally limited to second order accuracy. The addition of damping can reduce actual order of accuracy further depending on the inter-particle free motion. This finding is compared against a continual interaction case (without free motion) where it is found that the expected higher order accuracy is recovered
discrete element method, numerical integration
886-899
Tuley, Robert
b043e58c-7e7b-4f36-8f65-5700793a69be
Danby, Matthew
6e85ad5a-0c7d-4560-9c76-581927bb5c53
Shrimpton, John
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Palmer, Mark
a26656b0-829f-4fd2-8756-d19b2776dba0
June 2010
Tuley, Robert
b043e58c-7e7b-4f36-8f65-5700793a69be
Danby, Matthew
6e85ad5a-0c7d-4560-9c76-581927bb5c53
Shrimpton, John
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Palmer, Mark
a26656b0-829f-4fd2-8756-d19b2776dba0
Tuley, Robert, Danby, Matthew, Shrimpton, John and Palmer, Mark
(2010)
On the optimal numerical time integration for Lagrangian DEM within implicit flow solvers.
Computers and Chemical Engineering, 34 (6), .
(doi:10.1016/j.compchemeng.2009.10.003).
Abstract
We investigate a selection of nominally first, second and fourth order time integration schemes with application to particle collision simulation using the discrete element method (DEM). The motivation being the typical requirement to efficiently two-way couple a continuum flow obtained with a finite volume solver employing an iterative implicit solution method to Lagrangian DEM. Using the linear force model to simulate particle repulsion, the actual order of accuracy with respect to initial separation (‘free motion’), timestep, stiffness, damping and impact velocity is investigated. Due to the discontinuities of the inter-particle repulsive force upon contact, we find that without damping, the numerical schemes tested are generally limited to second order accuracy. The addition of damping can reduce actual order of accuracy further depending on the inter-particle free motion. This finding is compared against a continual interaction case (without free motion) where it is found that the expected higher order accuracy is recovered
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Published date: June 2010
Keywords:
discrete element method, numerical integration
Identifiers
Local EPrints ID: 145665
URI: http://eprints.soton.ac.uk/id/eprint/145665
ISSN: 0098-1354
PURE UUID: c93b248d-f401-4eb4-9a07-a5c161f9ee6a
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Date deposited: 20 Apr 2010 12:40
Last modified: 14 Mar 2024 00:51
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Author:
Robert Tuley
Author:
Matthew Danby
Author:
Mark Palmer
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