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Flow over a rough surface
Bauer, Petr
We attempt to model a 2D rough surface by computing non-stationary Navier-Stokes ow over a periodic pattern. The solution is obtained by means of _nite element method (FEM). We use non-conforming Crouzeix Raviart elements for velocity and piecewise con- stant elements for pressure. The resulting linear system is solved by multigrid method. We present computational studies of the problem.
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Solving an elasto-plastic problems by Newton-like methods
Byczanski, Petr ; Sysala, Stanislav
In this contribution, we will apply the semismooth Newton methods with and without damping to solving a one-time step problem in elesto-plasticity. First, we briefly describe the elasto-plastic model and formulate the corresponding one-time step problem in the form of the non-linear variational equation. Then we characterize the used numerical methods. Finally, we illustrate the methods on a 2D numerical example.
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