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===== Compile options =====

F90FLAGS = -FR -fpp -r8 -O3 -xAVX -shared_intel -I$(MKLROOT)/include -I$(MKLROOT)/include/fftw


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

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

===== Single Processor Result =====

^  $N_{C}$  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Comm.  ^  SU  ^
|  48  |  47  |  ( 73,72,144)  |  1.604797  |  1.56274  |  0.042059  |  0.508469  |  71.3243  |

===== Strong Scaling Results =====

^  $N_{C}$  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^
|  255  |  (512,384,768)  |

^  # of Cores  ^  # of Processes  ^  # of SMP  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Comm.  ^  Efficiency  ^  SUs  ^
|  64  |  64  |  1  |  5.9551  |  2.97054  |  0.77414  |  2.21042  |  1  |  1058.68  |
|  128  |  128  |  1  |  3.12294  |  1.67361  |  0.436457  |  1.01287  |  0.953444  |  1110.38  |
|  256  |  256  |  1  |  1.49993  |  0.793621  |  0.224334  |  0.481976  |  0.992562  |  1066.62  |
|  512  |  512  |  1  |  0.901664  |  0.441342  |  0.145236  |  0.315087  |  0.82557  |  1282.37  |
|  1024  |  1024  |  1  |  0.457387  |  0.219177  |  0.0752801  |  0.16293  |  0.813738  |  1301.01  |
|  2048  |  2048  |  1  |  0.322376  |  0.136652  |  0.0529017  |  0.132822  |  0.577267  |  1833.96  |
|  4096  |  4096  |  1  |  0.185785  |  0.0691138  |  0.0287718  |  0.0878993  |  0.500839  |  2113.82  |


{{wg:dynamo:Performance_results:Rayleigh:Rayleigh_Elapsed.png?480}}\\
Elapsed (wall clock) time for the strong scaling. Number of OpenMP threads are shown by the numbers. Ideal scaling is plotted by dotted line. 

{{wg:dynamo:Performance_results:Rayleigh:Rayleigh_efficiency.png?480}}\\
Parallel Efficiency for the strong scaling. Number of OpenMP threads are shown by the numbers.


===== Weak Scaling Results =====

^  # of Cores  ^  # of Processes  ^  # of SMP  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Comm.  ^  SUs  ^
|  16  |  4  |  4  |  31  |  (513,48,96)  |  0.345327  |  0.334976  |  0.0103503  |  0.0346996  |  15.3479  |
|  64  |  16  |  4  |  63  |  (513,96,192)  |  0.377983  |  0.367511  |  0.0104712  |  0.0701478  |  67.197  |
|  256  |  64  |  4  |  127  |  (513,192,384)  |  0.506746  |  0.496344  |  0.0104008  |  0.215548  |  360.352  |
|  1024  |  256  |  4  |  255  |  (513,768,1536)  |  0.523838  |  0.513385  |  0.0104525  |  0.175344  |  1490.03  |
|  4096  |  1024  |  4  |  511  |  (513,768,1536)  |  0.744473  |  0.733799  |  0.010673  |  0.386788  |  8470.44  |

{{wg:dynamo:Performance_results:Rayleigh:Rayleigh_weak_sph.png?480}}\\
Elapsed time for the weak scaling in the horizontal resolution. The results with 4 OpenMP threads are shown. An ideal scaling for Legendre transform is plotted by dotted line.
\\

^  # of Cores  ^  # of Processes  ^  # of SMP  ^  $l_{max}$  ^  $(N_{r},N_{\theta},N_{\phi})$  ^  Elapsed  ^  Nonlinear  ^  Solver  ^  Comm.  ^  SUs  ^
|  128  |  32  |  4  |  255  |  (33,384,768)  |  0.253204  |  0.248189  |  0.00501417  |  0.100608  |  90.0281  |
|  256  |  64  |  4  |  255  |  (65,384,768)  |  0.261203  |  0.256194  |  0.00500897  |  0.0883585  |  185.744  |
|  512  |  128  |  4  |  255  |  (129,384,768)  |  0.266168  |  0.261061  |  0.00510643  |  0.0962178  |  378.549  |
|  1024  |  256  |  4  |  255  |  (257,384,768)  |  0.303394  |  0.298234  |  0.00515566  |  0.145423  |  760.043  |
|  2048  |  512  |  4  |  255  |  (513,384,768)  |  0.276864  |  0.271508  |  0.00535592  |  0.118606  |  1575.05  |
|  4096  |  1024  |  4  |  255  |  (1025,384,768)  |  0.279425  |  0.27406  |  0.00536459  |  0.127257  |  3179.23  |

{{wg:dynamo:Performance_results:Rayleigh:Rayleigh_weak_r.png?480}}\\
Elapsed time for the weak scaling in the radial resolution. The results with 4 OpenMP threads are shown.\\

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