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On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows

On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows
On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows
In this review paper we introduce currently available methods based on the Navier–Stokes equations for simulation of particulate flows which fully resolve the particles. The methods can be classified under two general categories based on the treatment of the underlying mesh namely fixed mesh methods and body-conformal mesh methods. We first consider body-conformal mesh methods and their properties. We then examine different steps of such algorithms and their application to many particle flow problems and argue why such implementations may not be feasible. Alternatively we discuss fixed mesh methods and categorize them into two subcategories namely immersed boundary methods and fictitious domain methods. A critical review of each method and their variations is provided bearing in mind the application to the particulate flow systems. The algorithms are covered in detail providing suggestions and guidelines for a successful implementation. Fundamental concepts such as discrete delta functions, body forces and calculation of surface integrals in fixed mesh methods are introduced in a simple and coherent way with simple examples and many illustrations. Major variations which are successfully applied to particulate flows are identified and the possibility of addition of heat transfer phenomena to the methods are discussed.
immersed boundary method, fictitious domain method, body-conformal, fixed mesh, distributed lagrange multiplier, particulate flow
0301-9322
38-55
Haeri, S.
8e2f9ded-d4c7-4ae3-9fdb-db91f5f9ba9e
Shrimpton, J.S.
9cf82d2e-2f00-4ddf-bd19-9aff443784af
Haeri, S.
8e2f9ded-d4c7-4ae3-9fdb-db91f5f9ba9e
Shrimpton, J.S.
9cf82d2e-2f00-4ddf-bd19-9aff443784af

Haeri, S. and Shrimpton, J.S. (2012) On the application of immersed boundary, fictitious domain and body-conformal mesh methods to many particle multiphase flows. International Journal of Multiphase Flow, 40, 38-55. (doi:10.1016/j.ijmultiphaseflow.2011.12.002).

Record type: Article

Abstract

In this review paper we introduce currently available methods based on the Navier–Stokes equations for simulation of particulate flows which fully resolve the particles. The methods can be classified under two general categories based on the treatment of the underlying mesh namely fixed mesh methods and body-conformal mesh methods. We first consider body-conformal mesh methods and their properties. We then examine different steps of such algorithms and their application to many particle flow problems and argue why such implementations may not be feasible. Alternatively we discuss fixed mesh methods and categorize them into two subcategories namely immersed boundary methods and fictitious domain methods. A critical review of each method and their variations is provided bearing in mind the application to the particulate flow systems. The algorithms are covered in detail providing suggestions and guidelines for a successful implementation. Fundamental concepts such as discrete delta functions, body forces and calculation of surface integrals in fixed mesh methods are introduced in a simple and coherent way with simple examples and many illustrations. Major variations which are successfully applied to particulate flows are identified and the possibility of addition of heat transfer phenomena to the methods are discussed.

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More information

Published date: April 2012
Keywords: immersed boundary method, fictitious domain method, body-conformal, fixed mesh, distributed lagrange multiplier, particulate flow
Organisations: Faculty of Engineering and the Environment

Identifiers

Local EPrints ID: 344608
URI: http://eprints.soton.ac.uk/id/eprint/344608
ISSN: 0301-9322
PURE UUID: 6f95b161-58a0-44ef-a4e5-954c421717b3

Catalogue record

Date deposited: 29 Oct 2012 09:58
Last modified: 14 Mar 2024 12:15

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Contributors

Author: S. Haeri
Author: J.S. Shrimpton

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