Chebyshev super spectral viscosity method for a fluidized bed model

Authors:
Scott A. Sarra
Affiliations:
Department of Mathematics, Marshall University, One John Marshall Drive, Huntington, WV
Venue:
Journal of Computational Physics
Year:
2003

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Abstract

A Chebyshev super spectral viscosity method and operator splitting are used to solve a hyperbolic system of conservation laws with a source term modeling a fluidized bed. The fluidized bed displays a slugging behavior which corresponds to shocks in the solution. A modified Gegenbauer postprocessing procedure is used to obtain a solution which is free of oscillations caused by the Gibbs-Wilbraham phenomenon in the spectral viscosity solution. Conservation is maintained by working with unphysical negative particle concentrations.