Stabilized formulations for incompressible flows with thermal coupling

Tayfun E. Tezduyar; Srinivas Ramakrishnan; Sunil Sathe

doi:10.1002/fld.1743

Stabilized formulations for incompressible flows with thermal coupling

Tayfun E. Tezduyar^*, Srinivas Ramakrishnan, Sunil Sathe

^*Corresponding author for this work

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

48 Citations (Scopus)

Abstract

We present applications of the stabilized finite element formulations developed for incompressible flows with thermal coupling to 2D and 3D test problems. The stabilized formulations are based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/ Petrov-Galerkin stabilizations and are supplemented with discontinuity capturing (DC), including the discontinuity-capturing directional dissipation. The stabilization and DC parameters associated with these formulations are also presented. The coupled fluid mechanics and temperature equations are solved with a direct coupling technique. The test problems computed include 2D and 3D natural convection, as well as a simplified 3D model of air circulation in a small data center.

Original language	English
Pages (from-to)	1189-1209
Number of pages	21
Journal	International Journal for Numerical Methods in Fluids
Volume	57
Issue number	9
DOIs	https://doi.org/10.1002/fld.1743
Publication status	Published - 2008 Jul 30
Externally published	Yes

Keywords

Discontinuity capturing
Finite elements
Incompressible flow
SUPG/PSPG formulations
Thermal coupling

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Computer Science Applications
Applied Mathematics

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10.1002/fld.1743

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title = "Stabilized formulations for incompressible flows with thermal coupling",

abstract = "We present applications of the stabilized finite element formulations developed for incompressible flows with thermal coupling to 2D and 3D test problems. The stabilized formulations are based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/ Petrov-Galerkin stabilizations and are supplemented with discontinuity capturing (DC), including the discontinuity-capturing directional dissipation. The stabilization and DC parameters associated with these formulations are also presented. The coupled fluid mechanics and temperature equations are solved with a direct coupling technique. The test problems computed include 2D and 3D natural convection, as well as a simplified 3D model of air circulation in a small data center.",

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author = "Tezduyar, {Tayfun E.} and Srinivas Ramakrishnan and Sunil Sathe",

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language = "English",

volume = "57",

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T1 - Stabilized formulations for incompressible flows with thermal coupling

AU - Tezduyar, Tayfun E.

AU - Ramakrishnan, Srinivas

AU - Sathe, Sunil

PY - 2008/7/30

Y1 - 2008/7/30

N2 - We present applications of the stabilized finite element formulations developed for incompressible flows with thermal coupling to 2D and 3D test problems. The stabilized formulations are based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/ Petrov-Galerkin stabilizations and are supplemented with discontinuity capturing (DC), including the discontinuity-capturing directional dissipation. The stabilization and DC parameters associated with these formulations are also presented. The coupled fluid mechanics and temperature equations are solved with a direct coupling technique. The test problems computed include 2D and 3D natural convection, as well as a simplified 3D model of air circulation in a small data center.

AB - We present applications of the stabilized finite element formulations developed for incompressible flows with thermal coupling to 2D and 3D test problems. The stabilized formulations are based on the streamline-upwind/Petrov-Galerkin and pressure-stabilizing/ Petrov-Galerkin stabilizations and are supplemented with discontinuity capturing (DC), including the discontinuity-capturing directional dissipation. The stabilization and DC parameters associated with these formulations are also presented. The coupled fluid mechanics and temperature equations are solved with a direct coupling technique. The test problems computed include 2D and 3D natural convection, as well as a simplified 3D model of air circulation in a small data center.

KW - Discontinuity capturing

KW - Finite elements

KW - Incompressible flow

KW - SUPG/PSPG formulations

KW - Thermal coupling

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 9

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Stabilized formulations for incompressible flows with thermal coupling

Abstract

Keywords

ASJC Scopus subject areas

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