𝔖 Bobbio Scriptorium
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BOUNDARY CONDITIONS FOR FINITE ELEMENT SIMULATIONS OF CONVECTIVE FLOWS WITH ARTIFICIAL BOUNDARIES

✍ Scribed by J. C. HEINRICH; S. R. IDELSOHN; E. OÑATE; C. A. VIONNET

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
962 KB
Volume
39
Category
Article
ISSN
0029-5981

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✦ Synopsis

We examine the use of natural boundary conditions and conditions of the Sommerfeld type for finite element simulations of convective transport in viscous incompressible flows. We show that natural boundary conditions are superior in the sense that they always provide a correct boundary condition, as opposed to the Sommerfeld-type conditions, which can lead to a singular formulation and a great loss of accuracy. For the Navier-Stokes equations, the natural boundary conditions must be combined with a simple method to eliminate perturbations on the pressure at the open boundary, which is the source of most errors.

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Boundary layer flow of an Oldroyd-B flui
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✍ T. Hayat; Z. Iqbal; M. Mustafa; S. Obaidat 📂 Article 📅 2011 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB

## Abstract This study is presented for the flow of an Oldroyd‐B fluid subject to convective boundary conditions. The two‐dimensional equations are simplified by using boundary layer approximations. The analytic solutions in the whole spatial domain (0 ≤ η < ∞) are derived by a homotopy analysis me