A Lagrangian meshless finite element method applied to fluid–structure interaction problems
A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stab...
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| Veröffentlicht in: | Computers & structures Jg. 81; H. 8; S. 655 - 671 |
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| Sprache: | Englisch |
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01.05.2003
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| Abstract | A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stabilization terms used in the momentum equations are unnecessary due to the lack of convective terms in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplifies the connections with fixed or moving solid structures, thus providing a very easy way to solve fluid–structure interaction problems. |
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| AbstractList | A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in the meshless finite element method and the time integration is introduced in a semi-implicit way by a fractional step method. Classical stabilization terms used in the momentum equations are unnecessary due to the lack of convective terms in the Lagrangian formulation. Furthermore, the Lagrangian formulation simplifies the connections with fixed or moving solid structures, thus providing a very easy way to solve fluid–structure interaction problems. |
| Author | Idelsohn, S.R. Oñate, E. Del Pin, F. |
| Author_xml | – sequence: 1 givenname: S.R. surname: Idelsohn fullname: Idelsohn, S.R. email: sergio@ceride.gov.ar organization: International Center for Computational Methods in Engineering (CIMEC), Universidad Nacional del Litoral and CONICET, Guemes 3450, 3000 Santa Fe, Argentina – sequence: 2 givenname: E. surname: Oñate fullname: Oñate, E. email: onate@cimne.upc.es organization: International Center for Numerical Methods in Engineering (CIMNE), Universidad Politécnica de Cataluña, Edificio C1 Campus Nord, 08032 Barcelona, Spain – sequence: 3 givenname: F. surname: Del Pin fullname: Del Pin, F. organization: International Center for Computational Methods in Engineering (CIMEC), Universidad Nacional del Litoral and CONICET, Guemes 3450, 3000 Santa Fe, Argentina |
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| Keywords | Finite element method Fluid–structure interaction Incompressible fluid flows Particle methods Meshless methods Lagrange formulations |
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| Snippet | A method is presented for the solution of the incompressible fluid flow equations using a Lagrangian formulation. The interpolation functions are those used in... |
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| StartPage | 655 |
| SubjectTerms | Finite element method Fluid–structure interaction Incompressible fluid flows Lagrange formulations Meshless methods Particle methods |
| Title | A Lagrangian meshless finite element method applied to fluid–structure interaction problems |
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