A linear bicharacteristic FDTD method
John H. Beggs
- 08 Jun 2001
- Vol. 1, pp 64-67
TL;DR: The linear bicharacteristic scheme (LBS) as discussed by the authors is a classical leapfrog algorithm, but is combined with upwind bias in the spatial derivatives to preserve the time-reversibility of the leapfrog, which results in no dissipation, and it permits more flexibility by the ability to adopt a characteristic based method.
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Abstract: The linear bicharacteristic scheme (LBS) is a classical leapfrog algorithm, but is combined with upwind bias in the spatial derivatives. This approach preserves the time-reversibility of the leapfrog algorithm, which results in no dissipation, and it permits more flexibility by the ability to adopt a characteristic based method. The use of characteristic variables allows the LBS to treat the outer computational boundaries naturally using the exact compatibility equations. The LBS offers a central storage approach with lower dispersion than the Yee algorithm, plus it generalizes much easier to nonuniform grids. It has previously been applied to two and three-dimensional free-space electromagnetic propagation and scattering problems. This paper extends the LBS to model lossy dielectric and magnetic materials. Results are presented for several one-dimensional model problems, and the FDTD algorithm is chosen as a convenient reference for comparison.
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Figures
Fig. 3. Percent error in electric field for a free space propagation problem on a nonuniform grid using the FDTD method and the LBS. 
Fig. 2. Percentage error in phase speed versus grid resolution for the FDTD method (left) and the LBS (right). Plot parameter is , the Courant number. 
Fig. 1. One-dimensional upwind leapfrog computational stencils for right-going (a) and leftgoing (b) characteristics.
Citations
Ray-based finite-difference method for time-domain electromagnetics
Mehmet Ciydem,Sencer Koc +1 more
- 03 Jul 2005
TL;DR: In this article, a full time-dependent solution of EM fields in space-time by exploiting discontinuities of fields, Taylor series and geometrical optics tools is introduced.
•Journal Article
A novel bi-characteristic fdtd method for wave propagation
Mehmet Ciydem,Sencer Koc +1 more
TL;DR: In this article, the authors proposed a time-dependent solution of electromagnetic fields in space-time by exploiting Taylor Series and Geometrical Optics' tools, i.e. wavefronts and rays.
References
•Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
Allen Taflove
- 31 May 1995
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
•Book
Advances in Computational Electrodynamics: The Finite-Difference Time-Domain Method
Allen Taflove
- 01 Jan 1998
TL;DR: A survey of the Finite-Difference Time Domain literature can be found in this article, where the authors present a set of techniques for time-domain analysis using multiresolution expansions.
744
Linear Bicharacteristic Schemes Without Dissipation
TL;DR: The methods are time reversible and hence are free from numerical dissipation and are made possible by adopting forms of staggered storage that depend on the precise equations under consideration.
69
Development of non-dissipative numerical schemes for computational aeroacoustics
Jeffrey P. Thomas,Philip L. Roe +1 more
- 06 Jul 1993
TL;DR: In this article, the authors used the leapfrog scheme to simulate the propagation of acoustic waves generated by a noise source situated at the aft end of a convergent-divergent nozzle.