Next Lecture
Wednesday, January 6, 2016, 10:00
Discontinuous Galerkin method for the solution of elasto-dynamic,
compressible flow and fluid-structure interaction problems
Department of Numerical Mathematics,
Faculty of Mathematics and Physics, Charles University in Prague
Lecture outline:
This lecture will be concerned with the numerical solution of dynamic elasticity and compressible flow. We consider the linear case as well as the nonlinear St. Venant-Kirchhoff model. The space Discretizat on is carried out by the discontinuous Galerkin method (DGM). For the time discretization several techniques are proposed and tested. As the best method the DG discretization both in space and time appears. The discontinuous Galerkin method is also used for the numerical solution of compressible flow in time-dependent domains, formulated with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. It will be shown that this method allows the solution of compressible flow with a large range of the Mach number. Then the developed methods are combined and used for the numerical simulation of vibrations of elastic bodies induced by compressible flow. The applicability of the developed techniques will be demonstrated by several numerical experiments.
The results were obtained in cooperation with M. Balázsová, J. Česenek, M. Hadrava, A. Kosík and J. Horáček.
