Computing with large time steps in time-domain electromagnetics

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.

KEYWORDS:

• Finite volume time-domain method
• electromagnetics
• Godunov's method
• stability criteria
• Riemann problem

Disclosure statement

No potential conflict of interest was reported by the authors.

ORCID

Nikitabahen N. Makwana  http://orcid.org/0000-0001-9341-5739

Additional information

Notes on contributors

Nikitabahen N. Makwana

Nikitabahen N. Makwana is currently pursuing her PhD at the Department of Aerospace Engineering, Indian Institute of Technology, Bombay.

Avijit Chatterjee

Avijit Chatterjee is currently a professor at the Department of Aerospace Engineering, Indian Institute of Technology, Bombay. His interests are in Computational Fluid Dynamics and Computational Electromagnetics.