A dynamic, adaptive, locally conservative, and nonconforming solution strategy for transport phenomena in chemical engineering

Shuyu Sun*, Mary F. Wheeler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

A family of discontinuous Galerkin (DG) methods are formulated and applied to chemical engineering problems. They are the four primal discontinuous Galerkin schemes for space discretization: symmetric interior penalty Galerkin, Oden-Babuška-Baumann DG formulation, nonsymmetric interior penalty Galerkin, and incomplete interior penalty Galerkin. Numerical examples of DG to solve typical chemical engineering problems, including a diffusion-convection-reaction system in a catalytic particle, a problem of heat transfer in a fixed bed, and flow and contaminant transport simulations in porous media, are presented. This article highlights the substantial advantages of DG on adaptive mesh modification over traditional methods. In particular, we propose and investigate the dynamic mesh modification strategy for DG guided by mathematically sound a posteriori error estimators.

Original languageEnglish (US)
Pages (from-to)1527-1545
Number of pages19
JournalChemical Engineering Communications
Volume193
Issue number12
DOIs
StatePublished - Aug 28 2006

Keywords

  • Discontinuous Galerkin methods
  • Dynamic mesh adaptation
  • Parabolic partial differential equations
  • Transport phenomena

ASJC Scopus subject areas

  • Chemistry(all)
  • Chemical Engineering(all)

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