Reduction
Accurate simulations, especially in the case of models involving strong coupling between multiples physical fields, require complex numerical models that reveal to be costly in terms of computation time.
The principle of model reduction methods consists in processing the complete numerical model to extract a reduced model that involve very few variables but remains representative of the initial model behaviour of interest.
Reduction
Reduction
Model reduction techniques can be applied to many fields of activities.
This feature is intensively used in the microsystems (MEMS) component design procedure. Indeed, simulations at circuit level require accurate compact models of the MEMS components, also called behavioural models or reduced order models (ROM), to be generated from 3D expensive numerical model. These reduced models are written in HDL (Hardware Definition Language) and inserted, in a schematic form, is specific microelectronic simulators.
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Model reduction flow
Accurate simulations, especially in the case of models involving strong coupling between multiple physical fields, require complex numerical models that reveal to be costly in terms of computation time.
The principle of model reduction methods consists in processing these numerical models to extract educed models that involve very few variables but remain representative of the initial model behaviours of interest.
The reduced models can be simulated using dedicated softwares, such as OOFELIE in MS Excel, developed by Open Engineering, or they can also be included in more complex finites element model as sub-structures.
The first step consists in the creation of the model to reduce. It corresponds usually to a standard finite element model that includes a mesh, the definition of the type and properties of finite elements, boundary conditions and loads. Reduction does not involve any particular requirement. Nevertheless, the model must be consistent, that means well defined, and the physical behaviour it addresses must match the scope of the available reduction algorithms.
Interfaces
In order to provide user friendly interfaces, the model reduction feature has been integrated in the SAMCEF FIELD and in MS Excel as illustrated on the following picture.