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 electro magnetics 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 microwave heating and fluid flow phenomena.

[1]  Giuseppe Pelosi,et al.  Quick finite elements for electromagnetic waves , 1998 .

[2]  Katja Bachmeier,et al.  Numerical Heat Transfer And Fluid Flow , 2016 .

[3]  Wojciech Gwarek,et al.  On the nature of solutions produced by finite difference schemes in time domain , 1999 .

[4]  Swen Kortig,et al.  Foundations For Microwave Engineering , 2016 .

[5]  Frank P. Incropera,et al.  Fundamentals of Heat and Mass Transfer , 1981 .

[6]  Allen Taflove,et al.  Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[7]  Nikola Petrovic,et al.  Detection of Human Bodypart Abnormalities by Microwaves – A New Approach , 2019, 2019 42nd International Convention on Information and Communication Technology, Electronics and Microelectronics (MIPRO).

[8]  Giuseppe Pelosi,et al.  An Efficient 2.5-D Finite-Element Approach Based on Transformation Optics for the Analysis of Elliptical Horns , 2018, IEEE Transactions on Antennas and Propagation.

[9]  A. Abdel-azim.  Fundamentals of Heat and Mass Transfer , 2011 .

[10]  John Cornthwaite,et al.  Pressure Poisson Method for the Incompressible Navier-Stokes Equations Using Galerkin Finite Elements , 2013 .

[11]  Hywel Morgan,et al.  Analytical solutions of ac electrokinetics in interdigitated electrode arrays: electric field, dielectrophoretic and traveling-wave dielectrophoretic forces. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Vadim V. Yakovlev,et al.  A 2D Model of a Triple Layer Electromagnetic Heat Exchanger with Porous Media Flow , 2019, 2019 IEEE MTT-S International Microwave Symposium (IMS).