On Consistent Boundary Conditions for the Yee Scheme in 3D
(English)Manuscript (preprint) (Other academic)
The standard staircase approximation of curved boundaries in the Yee scheme is inconsistent. Consistency can however be achieved by modifying the algorithm close to the boundary. We consider a technique to consistently model curved boundaries where the coefficients of the update stencil is modified, thus preserving the Yee structure. The method has previously been successfully applied to acoustics in two and three dimension, as well as electromagnetics in two dimensions. In this paper we generalize to electromagnetics in three dimensions. Unlike in previous cases there is a non-zero divergence growth along the boundary that needs to be projected away. We study the convergence and provide numerical examples that demonstrates the improved accuracy.
FDTD, Yee, Staircasing
IdentifiersURN: urn:nbn:se:kth:diva-95504OAI: oai:DiVA.org:kth-95504DiVA: diva2:528690
QC 201205302012-07-302012-05-282012-07-30Bibliographically approved