Abstract
This chapter presents the finite-volume time domain (FVTD) method for the solution of Maxwell's equations. Initially, the FVTD method was developed as a numerical technique to solve the partial differential equations of hyperbolic conservation laws. The technique proved to be very successful in computational fluid dynamics, for solving the Euler and Navier–Stokes equations. The chapter describes the background of the finite-volume method, relevant to electromagnetic applications. Also, the finite-volume discretization of Maxwell's equations is elaborated in detail. A discussion of the stability of the method is also presented. The chapter extends the applicability of the finite-volume method in various ways by showing the way one can incorporate thin-wire models in the method. Also, a hybrid FVTD-FDTD method is presented that improves the performances of both the FVTD and the FDTD methods. Finally, another approach to the FVTD method is presented that can be viewed as a mixture of a conventional FVTD method and a generalization of the FDTD method. Examples computed with the techniques are presented and their results are compared to results obtained with other numerical methods or by measurement.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
