In this Note, we introduce a partitioned Newton based method for solving nonlinear coupled systems arising in the numerical approximation of fluid–structure interaction problems. The originality of this Schur–Newton algorithm lies in the exact Jacobians evaluation involving the fluid–structure linearized subsystems which are here fully developed.
Dans cette Note, nous nous intéressons à une méthode à partitions de type Newton pour la résolution de systèmes couplés non-linéaires intervenant dans l'approximation numérique des problèmes d'interaction fluide–structure. Cet algorithme utilise, de manière fondamentale, l'évaluation exacte des jacobiens construits à partir des sous-problèmes fluide–structure linéarisés dont nous fournissons la structure exacte.
Accepted:
Published online:
Miguel Ángel Fernández 1; Marwan Moubachir 2
@article{CRMATH_2003__336_8_681_0, author = {Miguel \'Angel Fern\'andez and Marwan Moubachir}, title = {An exact {Block{\textendash}Newton} algorithm for solving fluid{\textendash}structure interaction problems}, journal = {Comptes Rendus. Math\'ematique}, pages = {681--686}, publisher = {Elsevier}, volume = {336}, number = {8}, year = {2003}, doi = {10.1016/S1631-073X(03)00151-1}, language = {en}, }
TY - JOUR AU - Miguel Ángel Fernández AU - Marwan Moubachir TI - An exact Block–Newton algorithm for solving fluid–structure interaction problems JO - Comptes Rendus. Mathématique PY - 2003 SP - 681 EP - 686 VL - 336 IS - 8 PB - Elsevier DO - 10.1016/S1631-073X(03)00151-1 LA - en ID - CRMATH_2003__336_8_681_0 ER -
Miguel Ángel Fernández; Marwan Moubachir. An exact Block–Newton algorithm for solving fluid–structure interaction problems. Comptes Rendus. Mathématique, Volume 336 (2003) no. 8, pp. 681-686. doi : 10.1016/S1631-073X(03)00151-1. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00151-1/
[1] Sensitivity analysis for an incompressible aeroelastic system, Math. Models Methods Appl. Sci., Volume 12 (2002) no. 8, pp. 1109-1130
[2] Fluid structure interaction with large structural displacements, Comput. Methods Appl. Mech. Engrg., Volume 190 (2001) no. 24–25, pp. 3039-3067
[3] Numerical efficiency of different partitioned methods for fluid–structure interaction, Z. Angew. Math. Mech., Volume 80 (2000) no. 2, pp. 557-558
Cited by Sources:
Comments - Policy