New possibilities in virtual worlds
The performance of a product can be improved by numerically analyzing it already in the development phase in a virtual laboratory. At the same time, the development costs and the duration of the further development of a product can be significantly reduced by using numerical simulations. The ambitious goal of testing and ultimately optimizing systems in a virtual laboratory in a cost- and time-efficient manner under realistic boundary conditions is made possible by mathematical modelling and numerical approximation.
MODELLING AND NUMERICAL SOLUTION METHODS
As well the reaction of solids, liquids and gases, as the reaction of electromagnetic systems can be described mathematically with differential equations in space and time. With differential equations, the reaction of the material points depends not only on itself, but also on the changing characteristics of the surrounding points. This leads to powerful model equations that can be solved by numerical methods. The Finite-Element-Method, the Finite-Volume-Method, the Finite-Differences-Method and the Lattice-Bolzmann-Method have established themselves mainly.
APPLICATION AREAS AND ACCEPTANCE
With the availability of computers with fast processors and large RAMs, automotive bodies, internal combustion engines, prostheses, smart phones, and much more can be analyzed as a whole. The model equations used, are established and the calculation results are available by using sophisticated routines for visualization, this is why simulations are increasingly used in industry for the development and optimization of products.
Advantages of simulations
- Efficient, comprehensive solutions for complex tasks
- Quick and reliable evaluation of different design alternatives
- Reduction of costs by less real prototypes and test cycles