Parallel Algorithms for Adaptive Mesh Refinement

Parallel Algorithms for Adaptive Mesh Refinement

Computational methods based on the use of adaptively constructed nonuniform meshes reduce the amount of computation and storage necessary to perform many scientiic calculations. The adaptive construction of such nonuniform meshes is an important part of these methods. In this paper, we present a parallel algorithm for adaptive mesh reenement that is suitable for implementation on distributed-me...

Scalable parallel regridding algorithms for block-structured adaptive mesh refinement

Block-structured adaptive mesh refinement (BSAMR) is widely used within simulation software because it improves the utilization of computing resources by refining the mesh only where necessary. For BSAMR to scale onto existing petascale and eventually exascale computers all portions of the simulation need to weak scale ideally. Any portions of the simulation that do not will become a bottleneck...

AMR + + : Object - Oriented Parallel Adaptive Mesh Refinement

Adaptive mesh refinement (AMR) computations are complicated by their dynamic nature. The development of solvers for realistic applications is complicated by both the complexity of the AMR and the geometry of realistic problem domains. The additional complexity of distributed memory parallelism within such AMR applications most commonly exceeds the level of complexity that can be reasonable main...

Parallel 3D Adaptive Mesh Refinement in Titanium

Parallel, Adaptive-Mesh-Refinement MHD for Global Space-Weather Simulations

The first part of this paper reviews some issues representing major computational challenges for global MHD models of the space environment. These issues include mathematical formulation and discretization of the governing equations that ensure the proper jump conditions and propagation speeds, regions of relativistic Alfvén speed, and controlling the divergence of the magnetic field. The secon...