Title :
P2-34: Improved space charge modeling in cylindrical coordinates
Author :
Jackson, Robert H. ; Bui, Thuc ; Wu, Alan C. ; Verboncoeur, John P.
Author_Institution :
Calabazas Creek Res., Inc., San Mateo, CA, USA
Abstract :
The local Taylor polynomial (LTP) technique is applied in 2D cylindrical coordinates to develop high accuracy solutions to the Poisson equation. Corrections are developed for solution coefficients, calculation of radial electric fields and space charge effects. In addition, the LTP technique can generate 2nd order accuracy in cases with non-conformal boundaries, non-uniform grids and/or high space-charge gradients. These enhancements are being integrated into the XOOPIC particle-in-cell simulation code. Comparisons of LTP with standard finite difference (FD) and finite element (FE) solutions will be performed. Although aimed at photoinjector modeling, these results are broadly applicable to beam/field computation in cylindrical coordinates.
Keywords :
Poisson equation; finite difference methods; finite element analysis; gradient methods; polynomials; space charge; 2nd order accuracy; LTP technique; Poisson equation; XOOPIC particle-in-cell simulation code; cylindrical coordinates; finite difference solution; finite element solution; local Taylor polynomial technique; nonconformal boundary; nonuniform grids; photoinjector modeling; radial electric fields; solution coefficients; space charge effects; space charge modeling; space-charge gradients; Computational modeling; Finite difference methods; Finite element methods; MATLAB; Mesh generation; Poisson equations; Polynomials; Space charge; Telephony; Testing;
Conference_Titel :
Vacuum Electronics Conference (IVEC), 2010 IEEE International
Conference_Location :
Monterey, CA
Print_ISBN :
978-1-4244-7098-3
DOI :
10.1109/IVELEC.2010.5503490
