Staggered Discontinuous Galerkin Method for Singular Power-law Systems

Author:

He Qiqi

Abstract

Abstract In this paper, we study singular power-law models of shear thinning, which is characterized by unbounded viscosity at the zero shear-rate limit, and we study the staggered discontinuous Galerkin method for p-Stokes type systems for p ∈ (1,2]. We use Picard’s iterate method to solve the correspondent nonlinear system. If p is very close to 1, when solving discrete nonlinear equations using the Picard method, numerical instabilities often occur. We give the numerical stability method of singular power-law system and some numerical experiments by reference [1].

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference8 articles.

1. Approximation of the p-stokes equations with equal-order finite element;Adrian;J. Math. Fluid Mech.,2013

2. A staggered finite volume scheme on general meshes for the generalized stokes problem in two space dimensions;Blanc;International Journal on Finite Volumes,2005

3. A staggered compact finite difference formulation for the compressible navier-stokes equations;Boersma;J. Comput. Phys.,2005

4. Optimal discontinuous galerkin methods for wave propagation;Chung;SIAM J. Numer. Anal.,2006

5. Optimal discontinuous galerkin methods for the acoustic wave equation in higher dimensions;Chung;SIAM J. Numer. Anal.,2009

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