Performance

Phase-field algorithm for solidification modeling

Fortran 77 finite-difference application (1200x600)
(Cray optimized)

Machine	Execution time (secs)	CPU Utilization
Cray C-90 (1 processor)	9.7 secs	50.1%
Alpha EV6 (500 MHz 21264)	23.8 secs	99.0%
Pentium III (500MHz)	34.2 secs	95.1%
Intel Celeron (500MHz/66MHz SDRAM)	45.4 secs	99.9%
Pentium II (400MHz/100MHz SDRAM)	46.5 secs	99.9%
Pentium II (333MHz)	55.8 secs	99.9%
Sun Ultra Sparc 60 (400 MHz)	58.65 secs	97.9%
DEC Alpha (300MHz/Fortran)	65.0 secs	99.9%
Pentium Pro (200MHz)	74.2 secs	99.9%
SGI Power-Challenge (1 node)	74.5 secs	97.5%
Sun Ultra 2	87.4 secs	99.1%
DEC Alpha (333MHz 21164)	94.6 secs	99.9%
IBM SP2 (1 node)	279.1 secs	49.4%

compilation flags

3-D Helmholtz Solver

Execution Times (secs)
64x64x64 grid

The Parallel Hierarchical Adaptive MultiLevel Project

Performance of multigrid with fixed problem size

computer (vertices)	nproc	computation time(sec.)	communication time(sec.)	total time(sec.)	speedup	efficiency
Sun (16K)	1	51.54	0.00	51.54	-	-
	2	31.46	0.96	32.42	1.59	.80
	4	16.90	0.90	17.80	2.90	.73
	8	9.06	1.08	10.14	5.08	.64
PPro (16K)	1	2.94	0.00	2.94	-	-
	2	1.30	.20	1.50	1.96	.98
	4	0.72	0.19	0.91	3.23	.81
SP2-ethernet (64K)	1	14.42	0.00	14.42	-	-
	2	7.02	0.58	7.60	1.90	.95
	4	3.58	0.79	4.37	3.30	.82
	8	1.85	0.63	2.48	5.81	.73
	16	0.96	0.93	1.89	7.63	.48

Performance of multigrid with scaled problem size

computer (vertices)	nproc	computation time(sec.)	communication time(sec.)	total time(sec.)	scaled speedup	scaled efficiency
Sun (16K per proc)	1	51.54	0.00	51.54	-	-
	2	54.28	1.48	55.76	1.85	.92
	4	64.70	2.68	67.38	3.06	.78
	8	61.40	4.16	65.56	6.29	.79
PPro (16K per proc)	1	2.94	0.00	2.94	-	-
	2	2.65	1.53	4.18	1.41	.70
	4	2.61	0.65	3.26	3.60	.90
SP2-ethernet (64K per proc)	1	14.42	0.00	14.42	-	-
	2	14.97	1.04	16.01	1.80	.90
	4	14.18	1.77	15.95	3.62	.90
	8	14.24	2.92	17.16	6.72	.84
	16	14.58	5.51	20.09	11.48	.72