Numerical solution of a two-dimensional fluidized bed model

✍ Scribed by I. Christie; G. H. Ganser; J. W. Wilder

• Publisher: John Wiley and Sons
• Year: 1998
• Tongue: English
• Weight: 200 KB
• Volume: 28
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19980915)28:3<381::aid-fld717>3.0.co;2-7

✦ Synopsis

The numerical solution of a model describing a two-dimensional fluidized bed is considered. The model takes the form of a hyperbolic system of conservation laws with source term, coupled with an elliptic equation for determining a streamfunction. Operator splitting is used to produce homogeneous one-dimensional hyperbolic systems and ordinary differential equations involving the source term. The one-dimensional hyperbolic problems are solved using Roe's method with the addition of an entropy fix. The numerical procedure is second-order in time and first-order in space. Second-order-accuracy in space is obtained using flux limiting techniques. Numerical experiments which show the development of bubbles in the bed are presented. The familiar kidney-shaped bubble, observed experimentally, is found when using the method which is second-order in space. On the same mesh, the first-order method produces bubbles which are no longer kidney-shaped.