Modeling in Engineering using Innovative Numerical Methods for Solids and Fluids

October 15, 2018 — October 19, 2018

Coordinators:

  • Laura De Lorenzis (TU Braunschweig, Germany)
  • Alexander Düster (Hamburg University of Technology, Germany)

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The development of reliable and efficient discretization methods for solids and fluids supports the modeling process in engineering and enables the understanding of complex physical phenomena. In this way the design and optimization of products and processes can be accelerated in almost all fields of engineering. Based on numerical simulations, the number of time-consuming and expensive experiments can be significantly reduced. So engineering decisions can be supported by computed data, which might be very difficult if not impossible to obtain experimentally.
The fast growing performance of available computers itself, however, is not sufficient to satisfy the increasing requirements for the simulation of complex problems arising in fluid and solid mechanics. To this end, innovative numerical methods need to be further developed in order to enable modeling of complex engineering problems. In response to the requirement for improved numerical methods, in Germany a Priority Program has been established entitled “Reliable Simulation Techniques in Solid Mechanics. Development of Non-standard Discretization Methods, Mechanical and Mathematical Analysis”.
Inspired by the above mentioned challenges and stemming from the context of this Priority Program, the present CISM course focuses on innovative numerical methods for solid and fluid mechanics in order to support the modeling process in engineering. The objective is to present new and emerging simulation methods to young scientists and engineers from academia and industry.

The topics to be focused on are
– Particle methods addressing particle-based materials and numerical methods that are based on discrete element formulations and include fluid particle interaction as well as coupling with finite element methods. These methods are of importance in natural and engineering sciences.
– Phase field models, which have become very popular to model and simulate problems with surfaces and interfaces that are described implicitly.
– Fictitious domain methods, which allow for efficient discretization of very complex problems for which meshing with finite elements is very difficult.
– High-order continuous and discontinuous Galerkin methods, which offer high convergence rates and overcome many problems related to standard finite element approaches.
– Computational Fluid Dynamics based on modern finite volume schemes to efficiently discretize the Navier-Stokes equations.
– Nonintrusive coupling methods for structural models that allow to perform model adaptive simulations based on existing well developed solvers.

The course is addressed to scientists and engineers from both academia and industry working in the broad field of civil and mechanical engineering or applied physics and mathematics. The intention is to give a sound introduction into innovative numerical methods for solids and fluids which can be used to model complex problems in engineering.

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