Please use this identifier to cite or link to this item:
|Title:||H‐adaptive finite element solution of unsteady thermally driven cavity problem|
|Keywords:||Natural convection;Finite element method|
|Citation:||International Journal of Numerical Methods for Heat & Fluid Flow, 11 (2): pp. 172 - 195, (2001)|
|Abstract:||An h‐adaptive finite element code for solving coupled Navier‐Stokes and energy equations is used to solve the thermally driven cavity problem for Rayleigh numbers at which no steady state exists (greater than 1.9 × 108). This problem is characterised by sharp thermal and flow boundary layers and highly advection dominated transport, which normally requires special algorithms, such as streamline upwinding, to achieve stable and smooth solutions. It will be shown that h‐adaptivity provides a suitable solution to both of these problems (sharp gradients and advection dominated transport). Adaptivity is also very effective in resolving the flow physics, characterised by unsteady internal waves, are calculated for three Rayleigh numbers; 2 × 108, 3 × 108 and 4 × 108 using a Prandtl number of 0.71 and results are compared with other published results.|
|Appears in Collections:||Dept of Mechanical Aerospace and Civil Engineering Research Papers|
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.