Isogeometric fluid-structure interaction: theory, algorithms, and computations
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...Investigations using simple tensor product NURBS constructions have shown that the use of a smooth basis in analysis provides computational advantages over standard finite elements in many areas including turbulence [3, 4, 5], fluid-structure interaction [6, 7, 8], incompressibility [9, 10, 11], structural...
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...We also review some of the recent attempts at simplifying the CAD-FEA integration by separating boundary and domain discretisations....
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"Isogeometric fluid-structure intera..." refers methods in this paper
...Solve this linear system using a preconditioned GMRES algor ithm (see Saad and Schultz [52]) to a specified tolerance....
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...(1) Evaluate iterates at the intermediate time levels as Un+αf ,(l) = Un + αf(Un+1,(l−1) − Un) (184) U̇n+αf ,(l) = U̇n + αf(U̇n+1,(l−1) − U̇n) (185) Ün+αm,(l) = Ün + αm(Ün+1,(l−1) − Ün) (186) V n+αf ,(l) = V n + αf(V n+1,(l−1) − V n) (187) V̇ n+αf ,(l) = V̇ n + αf(V̇ n+1,(l−1) − V̇ n) (188) V̈ n+αm,(l) = V̈ n + αm(V̈ n+1,(l−1) − V̈ n) (189) P n+1,(l) = P n+1,(l−1) (190) (2) Use the intermediate solutions to assemble the residualof the continuity and momentum equations and the corresponding matrices in the linear system ∂Rmom ∂Ün+1 ∆Ün+1,(l) + ∂Rmom ∂P n+1 ∆P n+1,(l) + ∂Rmom ∂V̈ n+1 ∆V̈ n+1,(l) = −R mom (l) (191) ∂Rcon ∂Ün+1 ∆Ün+1,(l) + ∂Rcon ∂P n+1 ∆P n+1,(l) + ∂Rcon ∂V̈ n+1 ∆V̈ n+1,(l) = −R con (l) (192) ∂Rmesh ∂Ün+1 ∆Ün+1,(l) + ∂Rmesh ∂P n+1 ∆P n+1,(l) + ∂Rmesh ∂V̈ n+1 ∆V̈ n+1,(l) = −R mesh (l) (193) (194) Solve this linear system using a preconditioned GMRES algorithm (see Saad and Schultz [52]) to a specified tolerance....
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"Isogeometric fluid-structure intera..." refers methods in this paper
...The residual-based formulation of fluid flow may be viewed as an extension of well-known stabilized methods, such as SUPG [ 10 ]....
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