Stability of FDTD in curvilinear coordinates

A new approach suitable for determination of the maximal stable time step for the finite-difference time domain (FDTD) algorithm in curvilinear coordinates is presented. It is based on a modified variable separation method, applied to the set of difference equations of the FDTD algorithm. Investigat...

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Bibliographische Detailangaben
Hauptverfasser:	Pauk, L., Skvor, Z.
Format:	Tagungsbericht
Sprache:	eng
Schlagworte:	Algorithm design and analysis Difference equations Electromagnetic fields Electromagnetic modeling Finite difference methods Maxwell equations Stability Time domain analysis
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Beschreibung
Zusammenfassung:	A new approach suitable for determination of the maximal stable time step for the finite-difference time domain (FDTD) algorithm in curvilinear coordinates is presented. It is based on a modified variable separation method, applied to the set of difference equations of the FDTD algorithm. Investigation is carried out in spherical and cylindrical coordinates. A simple yet accurate enough approximative formula for cylindrical coordinates is presented. Applied to Cartesian coordinates, this approach yields the well-known Courrant condition.
DOI:	10.1109/EURCON.2001.938123