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zsn5_e0xYQo^hin2iiJ0$5KLpFK}7m!5-}{O0wH2EwkTSVejFuve-DKPj(I{_7ojUJ zQ1BjHa&pRMDKUtfZ?J&H2`)1=0c_VR$T>WRs4y~x9B{wSB!ryfy69W~KF#0nl#R#S zz8%ioo~2*HckeP6>O(!#p33?J+|XWIrTA~2iJ|}N;@n{uyG&aN{@W8Fk9rRd_ZqaS z>G@qOVDfWm*qrUEbJ#-=91N=t{sosonCq`21=@3t!$z(WA-FFfJBNJT_>G+Z>+8hj zFm(o+onr1g1z+pyoz0h&k)+3~4?zy@$D=`6c;xl|+sC|8k^gr26D9ut{_p?&^#88f sf1Ql~JuUyW7JpqR;&uLi+t{8|jvC=+tMgaUWAH~&PE|Hr`rfnu0EpT$m;e9( literal 0 HcmV?d00001 diff --git a/docs/source/developerGuide/designOverview/dataStructures.rst b/docs/source/developerGuide/designOverview/dataStructures.rst index bea4f91b..dc791601 100644 --- a/docs/source/developerGuide/designOverview/dataStructures.rst +++ b/docs/source/developerGuide/designOverview/dataStructures.rst @@ -3,4 +3,121 @@ Data Structures =============== LBPM includes a variety of generalized data structures to facilitate the implementation -of different lattice Boltzmann models. +of different lattice Boltzmann models. These core data structures are designed so that +they are agnostic to the particular physics of a model. Many different lattice Boltzmann +schemes can be constructed using the same basic data structures. The core data structures +are primarily designed to + +1) prepare 3D image data for distributed memory simulation based on MPI +2) develop common data structures to facilitate the local streaming step +3) generate and store information needed to exchange data between MPI processes +4) develop common routines for parallel communication for lattice Boltzmann methods. + +By using the core data structures, it is possible to develop new physical models +without having to revisit the data structures or parallel algorithms on which a model is +built. Understanding and using the core data structures is very useful if you intend +to build new physical models within LBPM. In most cases, only the collision step +will need to be developed to implement a particular physical model. + + +------------------ +Domain +------------------ + +The ``Domain`` data structure includes information needed to carry out generic +parallel computations on 3D image data. LBPM is designed to support parallel +simulation where the image data is distributed over a potentially large number of +processors. Each processor recieves an equal size chunk of the input image, +which is specified based on the input database file in the form ``n = nx, ny, nz``. +The total image size is specified as ``N = Nx, Ny, Nz``, which is needed to read +the input image. In the typical case, the input image data will be read only by MPI +rank 0, and sub-domains will be assigned and distributed to each MPI process. +The regular process grid is specified as ``nproc = Px, Py, Pz``. If the entire image +is to be distributed across the processors, the values must be chosen such that +``Nx = nx*Px``, ``Ny = ny*Py`` and ``Nz = nz*Pz``. The basic purpose for the +data structures contained in the ``Domain`` class is to retain basic information +about the domain structure to support parallel computations in MPI. Code within the +``analysis/`` directory will generally rely on these data structures to determine +how to perform computations in parallel. For GPU-based application, information +contained within the ``Domain`` structure is usually retained only the CPU. +Lattice Boltzmann algorithms rely on dedicated data structures within the ``ScaLBL`` +class to perform MPI computations, which are designed for these applications +specifically. + +.. figure:: ../../_static/images/domain-decomp.png + :width: 600 + :alt: domain decomposition + + Domain decomposition used by LBPM to distribute 3D image data across processors. + Each processor recieves an equal size block of the input image. The Domain class + organizes MPI communications with adjacent blocks based on the processor layout. + + +------------------ +ScaLBL +------------------ + + +While the ``Domain`` data structures retain essential information needed to +carry out generic types of computations based on regular 3D image files, +``ScaLBL`` data structures are designed specifically for lattice Boltzmann methods. +The main purposes for these data structures are to: + +1) allow for overlap between computations that do not depend on MPI communication and the + MPI communications required by LBMs (e.g. to carry out the streaming step, perform + halo exchanges, etc.) +2) reduce the computational and memory requirements by excluding image sites where flow + does not occur; and +3) to facilitate efficient data access patterns based on the memory layout used by + data structures. + +These are critical steps to provide good parallel performance and make efficient use +of GPUs. + + +In many cases flow will occur only in a fraction of the voxels from the original 3D input +image. Since LBM schemes store a lot of data for each active voxels (e.g. 19 double precision +values for a single D3Q19 model), significant memory savings can be realized by excluding +immobile voxels from the data structure. Furthermore, it is useful to distiguish between +the interior lattice sites (which do not require MPI communications to update) and the exterior +lattice sites (which must wait for MPI communications to complete before the local update can +be completed). Within LBPM it is almost always advantageous to overlap interior computations with +MPI communications, so that the latter costs can be hidden behind the computational density +of the main lattice Boltzmann kernels. As the local sub-domain size increases, the number of +interior sites will tend to be significantly larger than the number of exterior sites. +The data layout is summarized in the image below. + + +.. figure:: ../../_static/images/data-structures-v0.png + :width: 600 + :alt: ScaLBL data structure layout + + Data structure used by ScaLBL to support lattice Boltzmann methods. + Regions of the input image that are occupied by solid are excluded. + Interior and exterior lattice sites are stored separately so that + computations can efficiently overlap with MPI communication. + +Another factor in the data structure design are the underlying algorithms used by the LBM +to carry out the streaming step. There are at least a half dozen distinct algorithms that +can be used to perform streaming for lattice Boltzmann methods, each with their own advantages +and disadvantages. Generally, the choice of streaming algorithm should reduce the overall memory +footprint while also avoiding unnecessary memory accesses. LBPM uses the AA algorithm so +that a single array is needed to perform the streaming step. The AA algorithm relies on the symmetry +of the discrete velocity set used by LBMs to implement an efficient algorithm. Conceptually, +we can easily see that for each distribution that needs to be accessed to perform streaming, +there is an opposite distribution. The AA algorithm proceeds by identifying these distributions +and exchanging their storage locations in memory, as depicted in the image below. The data +access pattern will therefore alternate between even and odd timesteps. Within LBPM, a ``NeighborList`` +is constructed to store the memory location for the accompanying pair for each distribution. +If the neighboring site is in the solid, the neighbor is specified such that the halfway +bounceback rule will applied automatically. In this way, the streaming step can be performed +very efficiently on either GPU or CPU. + + +.. figure:: ../../_static/images/AA-stream.png + :width: 600 + :alt: AA streaming pattern + + Data access pattern for AA streaming algorithm used by LBPM. The location to read + and write distributions alternates between even and odd timesteps. A solid bounceback + rule is built into the data structure.