ExaFMM --An open source fast multipole method library aimed for Exascale systems

Rio Yokota (KAUST), L. A. Barba (BU)

Features of ExaFMM

For application scientists:Easy to use --simple interface, tutorials, supportMany short examples

For algorithm developers:Flexible framework for further experimentationMany alternative modules, controllable parameters

For hackers:Detailed comments in source codeMany unit tests, regression tests

Current features

1. Auto-tuning for heterogeneous architectures

2. Optimized kernels for both high & low accuracy

3. Periodic boundary conditions

4. Recursive multi-section partitioning/load balancing

5. Hierarchical MPI communication with overlapping

1. Auto-tuning

2. Optimized kernels

Cartesian Taylor series O(p6)Spherical harmonics O(p4)Spherical harmonics + rotation O(p3)Spherical harmonics + plane wave O(p3)

Laplace : G, G, G×, G∇ ∇ ∇∇Helmholtz : GStokes : G

3. Periodic boundary conditions

4. Recursive multisection

5. Hierarchical communication

Applicationsand Performance Benchmarks

Bio-molecular application

Turbulence application

Scalability on Kraken

Large GPU systems

Strong scaling (N=108)

Weak scaling

Comparison with 2010 Gordon Bell

ExaFMM official release today

Details & download:

http://www.bu.edu/exafmm

https://bitbucket.org/exafmm/exafmm/overview