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===== Definition of columns =====

^  name  ^    ^
|  Code  |  Name of code  |
|  # of Cores  |  Number of used CPU cores  |
|  # of Processes  |  Number of MPI processes  |
|  # of Threads  |  Number of threads for each process  |
|  $N_{c}$  |  Truncation lavel for Chebyshev polynomials  |
|  $l_{max}$  |  Truncation lavel for spherical harmonnics  |
|  $(N_{r},N_{\theta},N_{\phi})$  |  Number of grids in spherical coordinate  |
|  Elapsed  |  Elapsed (wall clock time) for one time step  |
|  Nonlinear  |  Elapsed (wall clock time) for evaluation of nonlinear terms  |
|  Solver  |  Elapsed (wall clock time) for linear solver (including communications)  |
|  Efficiency  |  Parallel efficiency  |
|  SUs  |  Service unit for $10^{4}$ time steps (Core hours)  |

===== Single processors Result =====

=== Spherical harmonics expansion with Chebyshev expansion  ===

^  Code  ^  $N_{c}$  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Communication  ^  Note  ^
|  H2000  |  48  |  47  |  ( 72,72,144)  |  1.38531  |    |   |    |    |
|  MagIC  |  48  |  47  |  ( 72,72,144)  |  0.35723  |    |   |    |    |
|  GFD-Dennou  |  48  |  42  |  (48,64,128)  |  0.445464  |  0.233546  |  0.183094  |    |    |
|  Simitev-Busse-drs  |  47  |  42  |  (48,64,128)  |  0.460322  |  0.378743  |  0.0565741  |  0.005765  |    |


=== Spherical harmonics expansion with FDM  ===

^  Code  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Communication  ^  Note  ^
|  Calypso V.1.1  |  47  |  (73,72,144)  |  1.604797  |  1.56274  |  0.04205857  |  0.508469  |    |
|  Calypso (Latest)  |  47  |  (73,72,144)  |  0.839953  |  0.797941  |  0.0399720  |  0.04934  |    |
|  Parody  |  47  |  ( 73,72,144)  |  0.269091  |  0.257912  |  0.00424973  |    |  Use 4 MPI threads  |
|  ETH  |  47  |  (72,72,144)  |  1.049  |  0.880913  |  0.168083  |  0.360225  |   |
|  LSD  |  48  |  ( 73,72,144)  |  0.774053  |  0.647997  |  0.647997  |    |  Nonlinear terms are evaluated twice  |
|  xshells  |  47  |  ( 73,72,144)  |  0.26967  |    |    |    |    |

=== Spherical harmonics expansion with Compact FDM  ===

^  Code  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Communication  ^  Note  ^
|  TITECH  |  47  |  (73,72,144)  |  0.678760  |  0.488277  |  0.190479  |  0.029903  |  Nonlinear terms are evaluated twice  |

{{wg:dynamo:Performance_results:comp:comp_single.png?480}}\\
Elapsed (wall clock) time with single core.


===== 256 Processes results =====

=== Spherical harmonics expansion with Chebyshev expansion  ===

^  Code  ^  $N_{c}$  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Communication  ^  Note  ^
|  UCSC  |  255  |  170  |  (257,256,512)  |  1.33908  |  1.06534  |  0.273739  |  0.080553  |  used 257 Cores  |
|  UCSC_latest  |  255  |  511  |  (257,768,1536)  |  8.6780  |   |   |   |  used 257 Cores  |
|  MagIC5  |  255  |  170  |  (257,256,512)  |  0.213723  |  0.120045  |  0.062081  |  0.0240802  |  4 SMP threads  |
|  MagIC5  |  511  |  256  |  (513,384,763)  |  2.22868  |  0.850126  |  0.442441  |  0.129714  |  8 SMP threads  |
|  GFD-Dennou  |  64  |  170  |  (64,256,512)  |  8.5006  |  3.08209  |  5.17536  |    |

=== Spherical harmonics expansion with FDM  ===

^  Code  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^ Communication  ^  Note  ^
|  Calypso V.1.1  |  255  |  (513,384,768)  |  6.74711  |  6.69947  |  0.0476359  |  0.72289  |  4 SMP threads  |
|  Calypso (Latest)  |  255  |  (513,384,768)  |  2.30595  |  2.25802  |  0.0409069  |  0.632535  |  4 SMP threads  |
|  Parody  |  255  |  (512,384,768)  |  0.951109  |  0.779863  |  0.122069  |    |  8 SMP threads  |
|  ETH  |  255  |  (512,384,768)  |  5.49180  |  5.33942  |  0.152376  |  2.2764  |   |
|  LSD  |  256  |  (512,384,768)  |  4.08026  |  3.85867  |  0.0918966  |    |  Nonlinear terms are evaluated twice  |
|  xshells  |  256  |  (512,384,768)  |  0.30811  |  0.2502  |  0.02765  |  0.0302  |    |

=== Spherical harmonics expansion with Compact FDM  ===

^  Code  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^ Communication  ^  Note  ^
|  TITECH  |  255  |  (256,384,768)  |  1.86101  |  1.7352  |  0.125808  |  0.475738  |  Nonlinear terms are evaluated twice  |

=== FEM  ===

^  Code  ^  $N_{r}$  ^  $N_{sph}$  ^  Elapsed time  ^  Solver time  ^  Comm. time  ^  Note  ^
|  GeoFEM  |  65  |  31106  |  12.0594  |  11.5573  |  1.29915  |  4 SMP threads  |

{{wg:dynamo:Performance_results:comp:comp_256cores.png?480}}\\
Elapsed (wall clock) time with 256 cores.

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