An updated arbitrary-lagrangian-eulerian description in continuum mechanics and its application to nonlinear fluid-structure interaction dynamics
Xing, J.T. and Price, W.G. (2004) An updated arbitrary-lagrangian-eulerian description in continuum mechanics and its application to nonlinear fluid-structure interaction dynamics. In, XXI International Congress of Theoretical and Applied Mechanics, Warsaw, Poland, 15 - 21 Aug 2004.
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An updated Arbitrary-Lagrangian-Eulerian (UALE) coordinate system is proposed to solve problems in continuum mechanics. It is compared to and distinguished from an ALE system. The governing equations in differential and integral forms in an UALE system are derived. A key feature of the UALE system is that the current position coordinates defined in a Cartesian Eulerian Spatial System (CESS) are chosen as the reference coordinates to investigate the motion of the continuum. When the reference point moves to a new position, the reference coordinates are updated to the new position coordinates in CESS. This UALE system and the updated Lagrangian (UL) system have the same base vectors as the CESS at each point in space, which provides a convenient way to overcome fundamental difficulties occurring in a nonlinear fluid-structure analysis. In the fluid's UALE system and the solid's UL system in solids, variational principles and a mixed finite element finite volume approach for nonlinear fluid-structure interaction dynamics are developed and formulated.
|Item Type:||Conference or Workshop Item (Paper)|
|Subjects:||T Technology > T Technology (General)
Q Science > QA Mathematics
|Divisions:||University Structure - Pre August 2011 > School of Engineering Sciences
|Date Deposited:||03 Apr 2006|
|Last Modified:||27 Mar 2014 18:12|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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