Direct numerical simulation of multiphase flow systems: A Lagrange multiplier/fictitious domain method and its parallel implementation

C. Diaz-Goano; P. Minev; K. Nandakumar

doi:10.1016/B978-008044046-0.50323-7

Direct numerical simulation of multiphase flow systems: A Lagrange multiplier/fictitious domain method and its parallel implementation

C. Diaz-Goano^*, P. Minev, K. Nandakumar

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.

Original language	English
Title of host publication	Computational Fluid and Solid Mechanics 2003
Publisher	Elsevier Inc.
Pages	1312-1316
Number of pages	5
ISBN (Electronic)	9780080529479
ISBN (Print)	9780080440460
DOIs	https://doi.org/10.1016/B978-008044046-0.50323-7
State	Published - 2 Jun 2003
Externally published	Yes

Keywords

Finite element methods
Lagrange multipliers
Multiphase flow

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10.1016/B978-008044046-0.50323-7

Cite this

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abstract = "The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.",

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author = "C. Diaz-Goano and P. Minev and K. Nandakumar",

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T2 - A Lagrange multiplier/fictitious domain method and its parallel implementation

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AU - Minev, P.

AU - Nandakumar, K.

PY - 2003/6/2

Y1 - 2003/6/2

N2 - The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.

AB - The interaction of solid particles in an incompressible viscous fluid is modeled through direct numerical simulation on unstructured finite elements using a Lagrange multipliers/fictitious domain technique. The particle's velocity and the Lagrange multipliers are expanded over the same basis functions as the fluid field avoiding in this way the need of a body fitted mesh and reducing significantly the computational costs. A new numerical algorithm to solve the particulate flow equations is presented and some implementation issues, such as the parallelization of the Hnear solver are discussed. Numerical and experimental results are compared. Speedups of the parallel code are also presented.

KW - Finite element methods

KW - Lagrange multipliers

KW - Multiphase flow

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U2 - 10.1016/B978-008044046-0.50323-7

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M3 - 章节

AN - SCOPUS:84941661907

SN - 9780080440460

SP - 1312

EP - 1316

BT - Computational Fluid and Solid Mechanics 2003

PB - Elsevier Inc.

ER -

Direct numerical simulation of multiphase flow systems: A Lagrange multiplier/fictitious domain method and its parallel implementation

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Keywords

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