Asymptotic partial domain decomposition in thin tube structures: numerical experiments

Abdesselam Nachit (1) , Grigory Panasenko (2) , Abdel-Malek Zine (2)

1 LA MUSE - Laboratoire de Mathématiques Unifiées de Saint-Etienne
2 ICJ - Institut Camille Jordan

The method of asymptotic partial domain decomposition for thin tube structures (finite unions of thin cylinders) is revisited. Its application to the Newtonian and non-Newtonian flows in large systems of vessels is considered. The possibility of a parallelization of its algorithm is discussed for linear and nonlinear models.

Domaines: Equations aux dérivées partielles [math.AP]; Sciences de l'ingénieur [physics]

Abdesselam Nachit, Grigory Panasenko, Abdel-Malek Zine. Asymptotic partial domain decomposition in thin tube structures: numerical experiments. International Journal for Multiscale Computational Engineering, 2013, 11 (5), pp.407-441. ⟨hal-00869325⟩