Application of Conformal Mapping to Rigorous Validation of 2D Coupled EM-CFD Modelling

This paper proposes a quasi-analytical methodology for validating numerical algorithms coupling electromagnetics with heat transfer and fluid flow phenomena. With the increasing interest in Multiphysics modelling in e.g. application of microwave power to biomedical research, it is crucial to prove accuracy of the coupled algorithms as they popularly serve as virtual prototyping tools in the recent research works. For that purpose a conformal mapping technique combined with Fourier series expansion is proposed and compared with coupled FDTD computation for two benchmark models involving electromagnetic heating and fluid flow phenomena.