Treffer: Numerical modelling of solid particle motion using a new penalty method
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We report on an original implicit tensorial penalty method (ITPM) for modelling solid particle motion in an incompressible flow. The basic idea is to decompose the viscous stress tensor of Navier-Stokes equation into contributions representing elongation, pure shearing and rotation. An artificial viscosity is associated to each stress contribution. The penalty method is used to impose different stress components thanks to a generalized augmented Lagrangian method implemented by introducing four Lagrange multipliers. An iterative Uzawa algorithm is finally used to achieve the numerical solution. The classical problems of Couette's flow between two coaxial cylinders and the settling of a particle in a tank filled with a viscous fluid have been chosen to demonstrate the capability of the new method.