A finite difference technique for simulating unsteady viscoelastic free surface flows
This work is concerned with the development of a numerical method capable of simulating viscoelastic free surface flow of an Oldroyd-B fluid. The basic equations governing the flow of an Oldroyd-B fluid are considered. A novel formulation is developed for the computation of the non-Newtonian extra-s...
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| Veröffentlicht in: | Journal of non-Newtonian fluid mechanics 2002-09, Vol.106 (2), p.61-106 |
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| container_end_page | 106 |
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| container_issue | 2 |
| container_start_page | 61 |
| container_title | Journal of non-Newtonian fluid mechanics |
| container_volume | 106 |
| creator | Tomé, M.F. Mangiavacchi, N. Cuminato, J.A. Castelo, A. McKee, S. |
| description | This work is concerned with the development of a numerical method capable of simulating viscoelastic free surface flow of an Oldroyd-B fluid. The basic equations governing the flow of an Oldroyd-B fluid are considered. A novel formulation is developed for the computation of the non-Newtonian extra-stress components on rigid boundaries. The full free surface stress conditions are employed. The resulting governing equations are solved by a finite difference method on a staggered grid, influenced by the ideas of the marker-and-cell (MAC) method. Numerical results demonstrating the capabilities of this new technique are presented for a number of problems involving unsteady free surface flows. |
| doi_str_mv | 10.1016/S0377-0257(02)00064-2 |
| format | Article |
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| identifier | ISSN: 0377-0257 |
| ispartof | Journal of non-Newtonian fluid mechanics, 2002-09, Vol.106 (2), p.61-106 |
| issn | 0377-0257 1873-2631 |
| language | eng |
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| source | Access via ScienceDirect (Elsevier) |
| subjects | Computational methods in fluid dynamics Constitutive equations Exact sciences and technology Finite difference Fluid dynamics Fundamental areas of phenomenology (including applications) Hydrodynamic waves Non-newtonian fluid flows Oldroyd-B Physics Viscoelastic flow |
| title | A finite difference technique for simulating unsteady viscoelastic free surface flows |
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