Details

Autor(en) / Beteiligte

• Ouazzi, A.
• Turek, S.
• Hron, J.

Titel

Finite element methods for the simulation of incompressible powder flow

Ist Teil von

• Communications in numerical methods in engineering, 2005-10, Vol.21 (10), p.581-596

Ort / Verlag

Chichester, UK: John Wiley & Sons, Ltd

Erscheinungsjahr

2005

Link zum Volltext

Quelle

Wiley Online Library Journals

Beschreibungen/Notizen

• Unlike fluids, flowing powders do not exhibit viscosity such that a Newtonian rheology cannot accurately describe granular flow. Assuming that the material is incompressible, dry, cohesionless, and perfectly rigid‐plastic, and based on continuum theories, generalized Navier–Stokes equations (‘Schaeffer Model’) have been derived where the velocity gradient has been replaced by the shear rate, and the viscosity depends on pressure and shear rate which leads to mathematically complex problems. In this note we present numerical algorithms to approximate these highly non‐linear equations based on finite element methods. A Newton linearization technique is applied directly to the corresponding continuous variational formulations. The approximation of incompressible velocity field is treated by using stabilized non‐conforming Stokes elements and we use a pressure Schur complement smoother as defect correction in a direct multigrid approach to solve the linear saddle‐point problems with high numerical efficiency. The results of several computational experiments for prototypical flow configurations are provided. Copyright © 2005 John Wiley & Sons, Ltd.