Simulating Granular Material using Nonsmooth Time-Stepping and a Matrix-Free Interior Point Method
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Beschreibung
When simulating granular material using nonsmooth time stepping methods, a large complementarity problem must be solved per time step. State-of-the-art numerical solvers fail to deliver the required accuracy for the prediction of digging forces. This doctoral thesis presents a specialized Interior Point Method that is able to solve the complementarity problems to a much higher accuracy while maintaining a reasonable calculation time.
For the product design of earth-moving machinery, a simulation framework for the soil-tool interaction is an appreciated tool. When modelling soil using nonsmooth time stepping methods, a large complementarity problem must be solved per time step. As a consequence, the method is stable for large time steps and potentially fast. Yet when it comes to the prediction of draft forces, state-of-the-art solvers for the complementarity problems fail to deliver the necessary accuracy. This doctoral thesis introduces a specialized Interior Point Method to overcome this issue. In addition, a detailed derivation of the nonsmooth equations of motion is presented.
Autor*in
Jan Kleinert
Themen in »Simulating Granular Material using Nonsmooth Time-Stepping and a Matrix-Free Interior Point Method«
Fraunhofer ITWM Mathematiker Ingenieur Physiker Informatiker Mathematiker Ingenieure Physiker Informatiker