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Title:
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A general stabilized formulation for incompressible fluid flow using finite calculus and the finite element method
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Author:
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Oñate Ibáñez de Navarra, Eugenio; García Espinosa, Julio; Bugeda Castelltort, Gabriel; Idelsohn Barg, Sergio Rodolfo
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Ciència i Enginyeria Nàutiques; Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus; Universitat Politècnica de Catalunya. TRANSMAR - Grup de recerca de transport marítim i logística portuària |
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Abstract:
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We present a general formulation for incompressible fluid flow analysis using the finite element method (FEM). The necessary stabilization for dealing with convective effects and the incompressibility condition are introduced via the so called finite calculus (FIC) method. The extension of the standard eulerian form of the equations to an arbitrary lagrangian-eulerian (ALE) frame adequate for treating fluid-structure interaction problems is presented. The fully lagrangian form is also discussed. Details of an effective mesh updating procedure are presented together with a method for dealing with free surface effects of importance for ship hydrodynamic analysis and many other fluid flow problems. Examples of application
of the eulerian, the ALE and the fully lagrangian flow descriptions are presented. |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Àrees temàtiques de la UPC::Física::Física de fluids::Flux de fluids
-Fluid mechanics--Mathematical models
-Stabilized formulation
-incompressible fluid flow
-finite calculus
-finite
element method
-ship hydrodynamics
-Mecànica de fluids -- Elements finits |
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Rights:
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Document type:
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Article - Published version
Book Part |
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Published by:
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CIMNE
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