A streamline upwind control volume finite element method for modeling fluid flow and heat transfer problems

C. R. Swaminathan; Vaughan R Voller; S. V. Patankar

doi:10.1016/0168-874X(93)90055-U

A streamline upwind control volume finite element method for modeling fluid flow and heat transfer problems

C. R. Swaminathan, Vaughan R Voller, S. V. Patankar

Civil, Environmental, and Geo- Engineering

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

16 Scopus citations

Abstract

Galerkin and control volume finite element approximations are compared and contrasted. Streamline upwinding and pressure stabilizing Petrov-Galerkin formulations for the numerical modeling of fluid flow problems are discussed. These formulations are then adapted to a control volume finite element discretization. The resulting control volume finite element scheme permits an equal order interpolation for velocity and pressure, is readily implemented and retains the property of local conservation, normally associated with control volume schemes.

Original language	English (US)
Pages (from-to)	169-184
Number of pages	16
Journal	Finite Elements in Analysis and Design
Volume	13
Issue number	2-3
DOIs	https://doi.org/10.1016/0168-874X(93)90055-U
State	Published - Jun 1993

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title = "A streamline upwind control volume finite element method for modeling fluid flow and heat transfer problems",

abstract = "Galerkin and control volume finite element approximations are compared and contrasted. Streamline upwinding and pressure stabilizing Petrov-Galerkin formulations for the numerical modeling of fluid flow problems are discussed. These formulations are then adapted to a control volume finite element discretization. The resulting control volume finite element scheme permits an equal order interpolation for velocity and pressure, is readily implemented and retains the property of local conservation, normally associated with control volume schemes.",

author = "Swaminathan, {C. R.} and Voller, {Vaughan R} and Patankar, {S. V.}",

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AU - Swaminathan, C. R.

AU - Voller, Vaughan R

AU - Patankar, S. V.

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Y1 - 1993/6

N2 - Galerkin and control volume finite element approximations are compared and contrasted. Streamline upwinding and pressure stabilizing Petrov-Galerkin formulations for the numerical modeling of fluid flow problems are discussed. These formulations are then adapted to a control volume finite element discretization. The resulting control volume finite element scheme permits an equal order interpolation for velocity and pressure, is readily implemented and retains the property of local conservation, normally associated with control volume schemes.

AB - Galerkin and control volume finite element approximations are compared and contrasted. Streamline upwinding and pressure stabilizing Petrov-Galerkin formulations for the numerical modeling of fluid flow problems are discussed. These formulations are then adapted to a control volume finite element discretization. The resulting control volume finite element scheme permits an equal order interpolation for velocity and pressure, is readily implemented and retains the property of local conservation, normally associated with control volume schemes.

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ER -

A streamline upwind control volume finite element method for modeling fluid flow and heat transfer problems

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