Symmetric factorization of the conformation tensor in viscoelastic fluid models

Autor:	Balci, Nusret, Thomases, Becca, Renardy, Michael, Doering, Charles R.
Rok vydání:	2010
Předmět:	Mathematics - Numerical Analysis Mathematics - Analysis of PDEs Physics - Fluid Dynamics 76A10
Druh dokumentu:	Working Paper
Popis:	The positive definite symmetric polymer conformation tensor possesses a unique symmetric square root that satisfies a closed evolution equation in the Oldroyd-B and FENE-P models of viscoelastic fluid flow. When expressed in terms of the velocity field and the symmetric square root of the conformation tensor, these models' equations of motion formally constitute an evolution in a Hilbert space with a total energy functional that defines a norm. Moreover, this formulation is easily implemented in direct numerical simulations resulting in significant practical advantages in terms of both accuracy and stability. Comment: 7 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1006.3488 Zobrazit plný text záznamu View this record from Arxiv