p4 v itinium
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Josip Loncaric josip at icase.eduFri May 17 11:55:36 PDT 2002
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Josh Fryman wrote: > > a better question is why a single node needs that kind of memory for an > application? seems like you'd be better off breaking it up under a real > parallel process situation. Breaking it up is sometimes inefficient. Even if you use 3D CFD codes based on domain decomposition, the optimal amount of memory per node grows very quickly as a function of the CPU/communication speed ratio. If you double the CPU speed but keep the same network, you can maintain performance if your domain volume/surface ratio doubles as well. This can happen if the volume (computations) grows by a factor of eight and surface (communications) by a factor of four. In other words, per node memory requirements can grow with the cube of the CPU/communication speed ratio. Of course, at some point you'll want a faster network, but CPU speeds might grow by a factor of 4-5 before that happens, and that means that RAM/node may need to increase 64-125 fold. This is why more and more cluster users are hitting the 32-bit address space limit. Sincerely, Josip P.S. This also makes a good argument for investing in a faster network as soon as communications become the dominant bottleneck. With the old network, for a fixed size problem, doubling the CPU speed implies that only 1/8 as many processors can be brought into the computation, so the wall clock time to solve the problem will actually quadruple. A faster network (if that's the active constraint) could allow speedups because the problem would parallelize better across more processors. Of course, if the bottleneck is CPU speed, one should invest in more/faster processors instead. -- Dr. Josip Loncaric, Research Fellow mailto:josip at icase.edu ICASE, Mail Stop 132C PGP key at http://www.icase.edu./~josip/ NASA Langley Research Center mailto:j.loncaric at larc.nasa.gov Hampton, VA 23681-2199, USA Tel. +1 757 864-2192 Fax +1 757 864-6134
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