Computing with large time steps in time-domain electromagnetics. Issue 17 (22nd November 2018)

• Record Type: Journal Article
• Authors: Makwana, Nikitabahen N.; Chatterjee, Avijit
• Is Part Of: Journal of electromagnetic waves and applications. Volume 32:Issue 17(2018)
• Page Start: 2182
• Page End: 2194
• Publication Date: 2018-11-22
• Subjects: Finite volume time-domain method -- electromagnetics -- Godunov's method -- stability criteria -- Riemann problem; Electromagnetic waves -- Periodicals; Electromagnetic devices -- Periodicals; 621.3
• DOI: 10.1080/09205071.2018.1500314
• Languages: English
• ISSNs: 0920-5071

Abstract

ABSTRACT: The finite volume time-domain method is recast in a large time step (LTS) version to solve the time-domain Maxwell's equations. The LTS method allows the use of time steps much larger than that dictated by the Courant–Friedrich–Lewy criteria for numerical stability in a Godunov-based finite volume framework. Solutions can be obtained much faster and sometimes with higher accuracy compared to conventional time-stepping methods. Results are analyzed for electromagnetic wave propagation in 1D and 2D. Solutions are shown to remain unconditionally stable with an increase in the Courant number.