Zusammenfassung
Finding solutions to higher dimensional problems, such as the simulation of
plasma turbulence in a fusion device as described by the five-dimensional
gyrokinetic equations, is a grand challenge facing current and future high
performance computing (HPC). The sparse grid combination technique is a
promising approach to the solution of these problems on large scale distributed
memory systems. The combination technique numerically decomposes a single large
problem into multiple moderately sized partial problems that can be computed in
parallel, independently and asynchronously of each other. The ability to
efficiently combine the individual partial solutions to a common sparse grid
solution is a key consideration to the overall performance of large scale
computations with the combination technique. This requires a transfer of each
partial solution from the nodal basis representation into the hierarchical
basis representation by hierarchization. In this work we will present a new,
efficient and scalable algorithm for the hierarchization of partial solutions
that are distributed over multiple process groups of an HPC system.
Nutzer
