A spectral vanishing viscosity method for stabilizing viscoelastic flows
A new method for stabilizing viscoelastic flows is proposed suitable for high-order discretizations. It employs a mode-dependent diffusion operator that guarantees monotonicity while maintaining the formal accuracy of the discretization. Other features of the method are: a high-order time-splitting...
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| Veröffentlicht in: | Journal of non-Newtonian fluid mechanics 2003-11, Vol.115 (2), p.125-155 |
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| container_title | Journal of non-Newtonian fluid mechanics |
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| creator | Ma, X Symeonidis, V Karniadakis, G.E |
| description | A new method for stabilizing viscoelastic flows is proposed suitable for high-order discretizations. It employs a mode-dependent diffusion operator that guarantees monotonicity while maintaining the formal accuracy of the discretization. Other features of the method are: a high-order time-splitting scheme, modal spectral element expansions on a single grid, and the use of a finitely extensible non-linear elastic-Peterlin (FENE-P) model. The convergence of the method is established through analytic examples and benchmark problems in two and three dimensions, and unsteady flow past a three-dimensional (3D) ellipsoid is studied at high Reynolds number. |
| doi_str_mv | 10.1016/S0377-0257(03)00172-1 |
| format | Article |
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| identifier | ISSN: 0377-0257 |
| ispartof | Journal of non-Newtonian fluid mechanics, 2003-11, Vol.115 (2), p.125-155 |
| issn | 0377-0257 1873-2631 |
| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Computational methods in fluid dynamics Exact sciences and technology FENE-P Fluid dynamics Fundamental areas of phenomenology (including applications) Non-newtonian fluid flows Numerical diffusion Physics Spectral methods Unsteady flow |
| title | A spectral vanishing viscosity method for stabilizing viscoelastic flows |
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