Transient problems with the Finite Cell Method

In contrast to the standard FEM, fictitious domain methods do not require a boundary-fitted mesh. Instead, they embed structures of arbitrarily complex geometry in a domain of simple shape. The Finite Cell Method (FCM) is a high-order approximation scheme that follows the fictitious domain idea. The Finite Cell Method has been successfully applied to various problems from engineering and science in linear and non-linear analyses. Other fields like transient problems haven't yet gained much attention. This software lab project focus on the implementation of different time integration schemes including the Newmark algorithm [3] as an implicit approach and the Central Difference scheme as an explicit approach. The implementation has been verified for benchmark problems in elastodynamics. The effect of different parameters in time integration schemes and the effect of the FCM specific penalty value for fictitious domain has been studied, to obtain optimal results for the time response of a structure.     «

In contrast to the standard FEM, fictitious domain methods do not require a boundary-fitted mesh. Instead, they embed structures of arbitrarily complex geometry in a domain of simple shape. The Finite Cell Method (FCM) is a high-order approximation scheme that follows the fictitious domain idea. The Finite Cell Method has been successfully applied to various problems from engineering and science in linear and non-linear analyses. Other fields like transient problems haven't yet gained much...     »