TY - GEN
T1 - Scalable high-order algorithms for wakefield simulations
AU - Min, Misun
AU - Fischer, Paul F.
PY - 2010
Y1 - 2010
N2 - We developed a high-order algorithm in time for our spectral-element discontinuous Galerkin time-domain electromagnetic code NekCEM. High-order spatial approximations are known to be the most efficient scheme guaranteeing a certain level of accuracy after long simulation time due to less numerical dispersion. We investigate an explicit type time stepping method, exponential timeintegration method, based on Krylov approximation which can possibly accel efficiency by allowing larger time step size with the total number of timestep reduction for accelerator applications. Computational results are compared to those by the fourth-order Runge-Kutta method that has been widely used for high-order spatial operator for the Maxwell's equations. We demonstrate the parallel performance of the high-order time-integration scheme up to 8,192 processors achieving efficiency of 72%.
AB - We developed a high-order algorithm in time for our spectral-element discontinuous Galerkin time-domain electromagnetic code NekCEM. High-order spatial approximations are known to be the most efficient scheme guaranteeing a certain level of accuracy after long simulation time due to less numerical dispersion. We investigate an explicit type time stepping method, exponential timeintegration method, based on Krylov approximation which can possibly accel efficiency by allowing larger time step size with the total number of timestep reduction for accelerator applications. Computational results are compared to those by the fourth-order Runge-Kutta method that has been widely used for high-order spatial operator for the Maxwell's equations. We demonstrate the parallel performance of the high-order time-integration scheme up to 8,192 processors achieving efficiency of 72%.
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M3 - Conference contribution
AN - SCOPUS:84886875145
SN - 9789290833529
T3 - IPAC 2010 - 1st International Particle Accelerator Conference
SP - 1865
EP - 1867
BT - IPAC 2010 - 1st International Particle Accelerator Conference
T2 - 1st International Particle Accelerator Conference, IPAC 2010
Y2 - 23 May 2010 through 28 May 2010
ER -