Load Balancing

These classes are used to determine a how the set of patches on each patch level in an AMR hierarchy is built and how those patches will be distributed across processors on a parallel machine. Given a collection of boxes whose union represents the domain of a level, these routines construct another set of boxes and a mapping of each box to a processor. The new hierarchy level will be constructed using this information. In other words, the load balance routines attempt to distribute work across processors according to a set of prescribed parameters. Currently available routines use spatially-uniform and non-uniform workload distributions. For a spatially-uniform work distribution, the workload estimate for each box is proportional to the number of cells in the box. For the non-uniform work distribution routines, the workload is determined by the user who specifies a numerical value for each cell (e.g., the amount of work needed to update the solution in the cell). In addition, load balancing routines attempt to assign patches near each other in space to the same processor when possible.
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