Stability of FDTD in curvilinear coordinates

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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Hauptverfasser: Pauk, L., Skvor, Z.
Format: Tagungsbericht
Sprache:eng
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Algorithm design and analysis
Difference equations
Electromagnetic fields
Electromagnetic modeling
Finite difference methods
Maxwell equations
Stability
Time domain analysis
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description 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_str_mv 10.1109/EURCON.2001.938123
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subjects Algorithm design and analysis
Difference equations
Electromagnetic fields
Electromagnetic modeling
Finite difference methods
Maxwell equations
Stability
Time domain analysis
title Stability of FDTD in curvilinear coordinates
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