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van Rienen, U.

Paper Title Page
TUPPP28 New 3D Space Charge Routines in the Tracking Code ASTRA 136
 
  • G. Pöplau
    Rostock University, Faculty of Engineering, Rostock
  • K. Floettmann
    DESY, Hamburg
  • U. van Rienen
    Rostock University, Faculty of Computer Science and Electrical Engineering, Rostock
 
  Funding: DESY Hamburg

Precise and fast 3D space-charge calculations for bunches of charged particles are still of growing importance in recent accelerator designs. A widespread approach is the particle-mesh method computing the potential of a bunch in the rest frame by means of Poisson's equation. Recently new algorithms for solving Poisson's equation have been implemented in the tracking code Astra. These Poisson solvers are iterative algorithms solving a linear system of equations that results from the finite difference discretization of the Poisson equation. The implementation is based on the software package MOEVE (Multigrid Poisson Solver for Non-Equidistant Tensor Product Meshes) developed by G. Pöplau. The package contains a state-of-the-art multigrid Poisson solver adapted to space charge calculations. In this paper the basic concept of iterative Poisson solvers is described. It is compared to the established 3D FFT Poisson solver which is a widely-used method for space charge calculations and also implemented in Astra. Advantages and disadvantages are discussed. Further the similarities and differences of both approaches are demonstrated with numerical examples.

 
WEPPP17 Tracking Code with 3D Space Charge Calculations Taking into Account the Elliptical Shape of the Beam Pipe 220
 
  • A. Markovik, G. Pöplau, U. van Rienen
    Rostock University, Faculty of Computer Science and Electrical Engineering, Rostock
  • R. Wanzenberg
    DESY, Hamburg
 
  Funding: Work supported by DESY, Hamburg

The determination of electron cloud instability thresholds is a task with high priority in the ILC damping rings research and development objectives. Simulations of electron cloud instabilities are therefore essential. In this paper a new particle tracking program is presented which includes the Poisson solver MOEVE for space charge calculations. Recently, perfectly electric conducting beam pipes with arbitrary elliptical shapes have been implemented as boundary conditions in the Poisson solver package MOEVE. The 3D space charge algorithm taking into account a beam pipe of elliptical shape will be presented along with numerical test cases. The routine is also implemented in the program code ASTRA, in addition we compare the tracking with both routines.