A distributed lagrange multiplier based computational method for the simulation of particulate-Stokes flow

Nitin Sharma; Yong Chen; Neelesh A. Patankar

doi:10.1016/j.cma.2004.12.013

A distributed lagrange multiplier based computational method for the simulation of particulate-Stokes flow

Nitin Sharma, Yong Chen, Neelesh A. Patankar^*

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper we present a distributed lagrange multiplier (DLM) based Stokes flow algorithm for particulate flows. The entire fluid-particle domain is treated as a fluid. The "fluid" in the particle domain is ensured to move rigidly by adding a rigidity constraint. We modify the SIMPLER (Semi-Implicit Method for Pressure Linked Equations - Revised) algorithm for fluids (by Patankar [Numerical Heat Transfer and Fluid Flow, Taylor and Francis, London, 1980]), to account for the presence of the particle. The modification pertains to the presence of the rigidity constraint in the particle domain. We validate the algorithm with suitable test cases.

Original language	English (US)
Pages (from-to)	4716-4730
Number of pages	15
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	194
Issue number	45-47
DOIs	https://doi.org/10.1016/j.cma.2004.12.013
State	Published - Nov 1 2005

Keywords

Control volume
Direct numerical simulation (DNS)
Distributed lagrange multiplier (DLM) method
Particulate flows
SIMPLER

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

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10.1016/j.cma.2004.12.013

Cite this

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title = "A distributed lagrange multiplier based computational method for the simulation of particulate-Stokes flow",

abstract = "In this paper we present a distributed lagrange multiplier (DLM) based Stokes flow algorithm for particulate flows. The entire fluid-particle domain is treated as a fluid. The {"}fluid{"} in the particle domain is ensured to move rigidly by adding a rigidity constraint. We modify the SIMPLER (Semi-Implicit Method for Pressure Linked Equations - Revised) algorithm for fluids (by Patankar [Numerical Heat Transfer and Fluid Flow, Taylor and Francis, London, 1980]), to account for the presence of the particle. The modification pertains to the presence of the rigidity constraint in the particle domain. We validate the algorithm with suitable test cases.",

keywords = "Control volume, Direct numerical simulation (DNS), Distributed lagrange multiplier (DLM) method, Particulate flows, SIMPLER",

author = "Nitin Sharma and Yong Chen and Patankar, {Neelesh A.}",

note = "Funding Information: This work was supported by National Science Foundation through a CAREER grant CTS-0134546 to NAP. ",

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AU - Chen, Yong

AU - Patankar, Neelesh A.

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PY - 2005/11/1

Y1 - 2005/11/1

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AB - In this paper we present a distributed lagrange multiplier (DLM) based Stokes flow algorithm for particulate flows. The entire fluid-particle domain is treated as a fluid. The "fluid" in the particle domain is ensured to move rigidly by adding a rigidity constraint. We modify the SIMPLER (Semi-Implicit Method for Pressure Linked Equations - Revised) algorithm for fluids (by Patankar [Numerical Heat Transfer and Fluid Flow, Taylor and Francis, London, 1980]), to account for the presence of the particle. The modification pertains to the presence of the rigidity constraint in the particle domain. We validate the algorithm with suitable test cases.

KW - Control volume

KW - Direct numerical simulation (DNS)

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KW - Particulate flows

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A distributed lagrange multiplier based computational method for the simulation of particulate-Stokes flow

Abstract

Keywords

ASJC Scopus subject areas

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