Numerical experiments with a Discontinuous Galerkin method including monotonicity enforcement on the stick-slip problem

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Abstract

In this paper the Discontinuous Galerkin (DG) (or Lesaint-Raviart) method as applied to the analysis of viscoelastic flows is stabilized by adding monotonicity enforcement as proposed originally by van Leer. By using an implicit/explicit time discretization scheme, monotonicity is easily established and convergence at high values of the Deborah number is achieved using the Phan-Thien-Tanner model with a wide variety of material parameters for the stick-slip benchmark problem.
Original languageEnglish
Pages (from-to)141-159
Number of pages19
JournalJournal of Non-Newtonian Fluid Mechanics
Volume51
Issue number2
DOIs
Publication statusPublished - 1994

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