We consider the fluid-structure interaction problem arising in haemodynamic applications. The finite elasticity equations for the vessel are written in Lagrangian form, while the Navier-Stokes equations for the blood in Arbitrary Lagrangian Eulerian form. The resulting three fields problem (fluid/ structure/ fluid domain) is formalized via the introduction of three Lagrange multipliers and consistently discretized by p-th order backward differentiation formulae (BDFp).
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Escuela Super Ingenieros, E-41092 Seville, SpainKorea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
Gonzalez, Jose A.
Park, K. C.
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Korea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
Univ Colorado, Dept Aerosp Engn, Boulder, CO 80309 USA
Univ Colorado, Ctr Aerosp Struct, Boulder, CO 80309 USAKorea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
Park, K. C.
Lee, I.
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Korea Adv Inst Sci & Technol, Div Aerosp Engn, Taejon 305701, South KoreaKorea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
Lee, I.
Felippa, C. A.
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Univ Colorado, Dept Aerosp Engn, Boulder, CO 80309 USA
Univ Colorado, Ctr Aerosp Struct, Boulder, CO 80309 USAKorea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea
Felippa, C. A.
Ohayon, R.
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CNAM, Mech Struct Mech & Coupled Syst Lab, F-75003 Paris, FranceKorea Adv Inst Sci & Technol, Div Ocean Syst Engn, Taejon 305701, South Korea