Page 478 - Maxwell House
P. 478

458                                                                Chapter 9



        9.2 GRID AND CLOUD COMPUTING

        9.2.1   Introduction
        We assume that the reader became compatible with the basic idea of primary numerical methods
        that can help monitor and understand more complicated ways with relative ease. Furthermore,
        we are not going to discuss any details of the frequency-domain variants. They follow the same
        discretization path and often slightly more simple due to the given time dependence exp ().
        As a result, all time-domain operations and transformations disappear thereby reducing the
        problem dimension. In such context, the simulation in frequency domain requires commonly
        less training and more efficient, depending on the research area and computer resources on
        hand. Our current objective is to show how to accelerate the numerical simulations. That will
        go  mainly about FDTD  method that  naturally lends itself to parallelization on High-
        Performance Computers (HPC).

        The first stage of a large-size project is the conversion of 3D image data (like shown in Figure
                                                     16
                                                9.2.1 ) into a highly accurate computational
                                                model with the proper meshing. In all full-
                                                wave EM solvers  known the authors, this
                                                conversion  procedure  is typically  run  on
                                                core processor and could consume very long
                                                time up to couple days or even longer. As
                                                soon as the computational model is prepared
                                                and transferred without error messages, your
                                                computer is ready for EM numerical analysis
                                                while all material and boundary conditions
                                                are defined. It is not surprising that such final
                                                model occupies from Gbytes up to Tbytes of
             Figure 9.2.1 Computer Aided Design   computer  memory and does not leave
                      (CAD) of car              enough  space and resources for  the
                                                subsequent  numerical execution.  It is
        inevitable that many realistic simulations have to be divided across a cluster of computers. The
        reader could ask the reasonable question; do we need so detailed model? Exclude, for example,
        such elements as a car driver or suspension from the model and enjoy much smaller computer
        model. It is correct. But imagine that your task is to check the impact of the lightning strike on
        the car driver or tubes connecting the engine with the fuel tank. Then the driver should be the
        part of the model as well as the engine. We will face the same challenge in the case of aircraft
        and ships. Note that the similar problem emerges in cases of RCS simulations of large objects
        (see Figure 5.3.3 in Chapter 5).  For the sake of simplicity, we confine ourselves to FDTD
        technique that is inherently parallel in nature.

        9.2.2   Parallel FDTD Technique
        As we have mentioned before, FDTD technique is a good contender for parallel processing due
        to the field on a particular edge or node (see Figure 9.1.11 and 9.1.12) depends only on the
        fields in the immediate neighborhood.



        16  Public Domain Image, source: http://rosmaarum.blog.binusian.org/author/rosmaarum/
   473   474   475   476   477   478   479   480   481   482   483