Mathematics – Numerical Analysis
Scientific paper
2010-06-17
Mathematics
Numerical Analysis
7 pages, 5 figures
Scientific paper
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.
Balci Nusret
Doering Charles R.
Renardy Michael
Thomases Becca
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