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Simulation of a fixed bed system using a geometrically based adaptive grid method

(1998) Simulation of a fixed bed system using a geometrically based adaptive grid method. Computers and Chemical Engineering , 22 (SUPPL.1)

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Abstract

The energy balance of a fixed bed system can be modelled by a 1st or 2nd order evolutionary differential equation. In the first order case, the equation exhibits shock behaviour. Standard numerical techniques fail to resolve the shock adequately without a large number of finely spaced points in the spatial dimension. This leads to the use of adaptive grid methods to attempt to reduce the computational requirements for fixed bed system simulation. This paper describes an adaptive grid algorithm and the derivation of the nonuniform numerical approximations for the derivative terms in the model equation and the boundary conditions. Two time stepping algorithms are compared: an implicit scheme based on the Crank-Nicholson approximation coupled with a Newton-type solver and the explicit Runge-Kutte-Gill 4th order method. Results are presented for the fixed bed system with appropriate initial and boundary value conditions. A discussion of the effects of the interpolation method used (required for generation of new grids adaptively) is presented, indicating the most suitable choice for a problem of this type. © 1998 Published by Elsevier Science Ltd. All rights reserved.

Type: Article
Title: Simulation of a fixed bed system using a geometrically based adaptive grid method
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/1574119
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