Embedded carbon fibre composite (CFC) model for arbitrary contour surfaces

A hollow circular cylinder composed of thin carbon fibre composite materials is modelled using the numerical Transmission Line Modelling (TLM) method. This is used as a canonical example of an object whose perimeter intersects the mesh at a variety of angles and inter sample positions. In this model, the thin cylinder wall is linearized and then embedded within the relatively coarse mesh. The embedded model eliminates the need for fine discretisation thus reducing the time step and memory requirements for the numerical method. To verify the accuracy of the embedded model the resonant frequencies of the CFC cylinder are compared with the analytical results of the equivalent metal cylinder. The scattering of the plane wave of the CFC cylinder is also analysed.