publication . Article . Preprint . 2010

symmetric factorization of the conformation tensor in viscoelastic fluid models

Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.;
Open Access
  • Published: 17 Jun 2010 Journal: Journal of Non-Newtonian Fluid Mechanics, volume 166, pages 546-553 (issn: 0377-0257, Copyright policy)
  • Publisher: Elsevier BV
Abstract
Comment: 7 pages, 5 figures
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: Mechanical Engineering, General Materials Science, Applied Mathematics, General Chemical Engineering, Condensed Matter Physics, Square root, Tensor, Numerical analysis, Vector field, Physics, Energy functional, Numerical stability, Equations of motion, Hilbert space, symbols.namesake, symbols, Classical mechanics, Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs, Physics - Fluid Dynamics, 76A10
Funded by
NSF| Viscoelastic Fluid Flow
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0757813
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSF| Analysis of Viscoelastic Flows
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0707727
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSF| Studies in Mathematical Physics: Advection, Convection and Turbulent Transport
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0855335
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
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[11] T. Y. Hou and R. Li. Computing nearly singular solutions using pseudospectral methods. J. Comput. Phys., 226:379-397, 2007.

[12] B. Thomases, M. Shelley, and J. L. Thiffeault. A Stokesian viscoelastic flow: Transition to mixing and oscillations. In preparation, 2010.

[13] A. Groisman and V. Steinberg. Elastic turbulence in a polymer solution flow. Nature, 405:53-55, 2000.

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publication . Article . Preprint . 2010

symmetric factorization of the conformation tensor in viscoelastic fluid models

Balci, Nusret; Thomases, Becca; Renardy, Michael; Doering, Charles R.;