Title :
Stability of FDTD in curvilinear coordinates
Author :
Pauk, Lukas ; Skvor, Zbynek
Author_Institution :
Dept. of Electromagn. Field, Czech Tech. Univ., Prague, Czech Republic
Abstract :
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.
Keywords :
Maxwell equations; difference equations; finite difference time-domain analysis; numerical stability; Cartesian coordinates; Courrant condition; FDTD stability; curvilinear coordinates; cylindrical coordinates; difference equations; finite-difference time domain method; maximal stable time step; modified variable separation method; spherical coordinates; Algorithm design and analysis; Difference equations; Electromagnetic fields; Electromagnetic modeling; Finite difference methods; Maxwell equations; Stability; Time domain analysis;
Conference_Titel :
EUROCON'2001, Trends in Communications, International Conference on.
Conference_Location :
Bratislava, Slovakia
Print_ISBN :
0-7803-6490-2
DOI :
10.1109/EURCON.2001.938123
