A finite-element approach in stream-tube method for solving fluid and solid mechanics problems

This paper presents a theoretical formulation in which the stream-tube method (STM) is examined through a variational approach for solving solid strain and fluid flow problems with finite elements. The analysis considers a reference domain, used as computational domain, related to the physical domai...

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Bibliographic Details
Published in:Mechanics research communications Vol. 32; no. 1; pp. 65 - 73
Main Authors: Ammar, Amine, Clermont, Jean-Robert
Format: Journal Article
Language:English
Published: Elsevier Ltd 2005
Subjects:
Domain transformation
Elasticity
Finite elements
Fluid flow
Variational formulation
Elasticity
Finite elements
Domain transformation
Fluid flow
Variational formulation
ISSN:0093-6413, 1873-3972
Online Access:Get full text
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Summary:This paper presents a theoretical formulation in which the stream-tube method (STM) is examined through a variational approach for solving solid strain and fluid flow problems with finite elements. The analysis considers a reference domain, used as computational domain, related to the physical domain by an unknown transformation function to be determined numerically. Mass conservation is automatically verified by STM. The variational approach leads to eliminate the pressure in fluid problems and avoids to set up a mixed displacement–pressure procedure in the case of incompressible solids. Examples are given for fluid flows, applications and comparisons are also provided in the bending problem in elasticity.
ISSN:0093-6413
1873-3972
DOI:10.1016/j.mechrescom.2004.04.002