Paper 
Title 
Page 
THPAN036 
ABCI Progresses and Plans: Parallel Computing and Transverse NapolyShobuda Integral

3306 

 Y. H. Chin, K. Takata
KEK, Ibaraki
 Y. Shobuda
JAEA/JPARC, TokaiMura, NakaGun, IbarakiKen



In this paper, we report the recent progress and future plans of ABCI. First, ABCI now supports parallel processing in OpenMP for a shared memory system, such as a PC with multiple CPUs or a CPU with multiple cores. The new ABCI also supports the dynamic memory allocation for nearly all arrays for field calculations so that the amount of memory needed for a run is determined dynamically during runtime. A user can use any number of mesh points as far as the total allocated memory is within a physical memory of his PC. As a important progress of the features, the transverse extension of Napoly integral (derived by Shobuda) has been implemented to the new ABCI: it permits calculations of wake potentials in structures extending to the inside of the beam tube radius or having unequal tube radii at the two sides not only for longitudinal but also for transverse cases, and still the integration path can be confined to a finite length, by having the integration contour beginning and ending on the beam tubes. The future upgrade plans will be also discussed. The new ABCI is available as a Windows standalone executable module so that no installation of the program is necessary.


THPAN046 
Extension of Napoly Integral for Transverse Wake Potentials to General Axisymmetric Structure

3333 

 Y. Shobuda
JAEA/JPARC, TokaiMura, NakaGun, IbarakiKen
 Y. H. Chin, K. Takata
KEK, Ibaraki



The Napoly integral for wake potential calculations in the axisymmetric structure is a very useful method because the integration of Ez field can be confined in a finite length instead of infinite length by deforming the integration path, which reduces CPU time for accurate calculations. However, his original method cannot be applied to the transverse wake potentials in a structure where the two beam tubes on both sides have unequal radii. In this case, the integration path needs be a straight line and the integration stretches out to an infinite in principle. We generalize the Napoly integrals so that integrals are always confined in a finite length even when the two beam tubes have unequal radii, for both longitudinal and transverse wake potential calculations. The extended method has been successfully implemented to ABCI.

