This paper presents a computationally efficient runtime partitioning and load-balancing scheme for the Distributed Adaptive Grid Hierarchies that underlie adaptive mesh-refinement methods. The partitioning scheme yields an efficient parallel computational structure that maintains locality to reduce communications. Further, it enables dynamic re-partitioning and loadbalancing of the adaptive gri...

Parallel structured adaptive mesh refinement (SAMR) methods increase the efficiency of the numerical solution to partial differential equations. These methods use an adaptive grid hierarchy to dynamically assign computational resources to areas with large solution errors. The grid hierarchy needs to be repeatedly repartitioned and distributed over the processors but no single partitioning algor...

Rectilinear Binary Space Partitioning (BSP) trees are often used for solving various types of range searching problems including ray shooting. We propose a novel method for construction of rectilinear BSP trees for a preferred set of ray shooting queries. Particularly, we study ray sets formed by fixing either the direction or the origin of rays. We analyse and discuss the properties of constru...

In this paper we present a pilot implementation of the Meta-Partitioner, a partitioning framework that automatically selects, configures, and invokes suitable partitioning algorithms for Structured Adaptive Mesh Refinement (SAMR) applications. Efficient use of SAMR on parallel computers requires that the dynamic grid hierarchy is repeatedly repartitioned and redistributed. The partitioning proc...

A computational method for partitioning a charge density grid into Bader volumes is presented which is efficient, robust, and scales linearly with the number of grid points. The partitioning algorithm follows the steepest ascent paths along the charge density gradient from grid point to grid point until a charge density maximum is reached. In this paper, we describe how accurate off-lattice asc...

In this paper, we develop an efficient partitioning scheme for a grid environment to increase performance by measuring the characteristics of the data. We design a model that simulates a real life distributed grid environment, and test this model against a synthetic data set. We use public information about the distribution of U.S. zip codes and last names to make an effective partitioning sche...

Mobile database applications through wireless equipments e.g., PDAs, laptops, cell phones and etc. are growing rapidly. In such environment, clients, servers and object may change their locations. A very applicable class of query is continuous k-NN query which continuously returns the k nearest objects to the current location of the requester. Respect to limitations in mobile environments, it i...

This whitepaper describes the load-balancing performance issues that are observed and tackled during the petascaling of a space plasma simulation code developed at the Finnish Meteorological Institute (FMI). It models the communication pattern as a hypergraph, and partitions the computational grid using the parallel hypergraph partitioning scheme (PHG) of the Zoltan partitioning framework. The ...

Parallel structured adaptive mesh refinement methods decrease the execution time and memory requirements of partial differential equation solvers. These methods result in an adaptive and dynamic grid hierarchy that repeatedly needs to be re-partitioned and distributed over the processors. No single partitioning algorithm can consistently construct high-quality partitionings for all possible gri...