Journal article
Parallel implementation of many-body mean-field equations
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, v 50:6(6), pp 5096-5106
01 Dec 1994
PMID: 9962595
Abstract
We describe the numerical methods used to solve the system of stiff, nonlinear partial differential equations resulting from the Hartree-Fock description of many-particle quantum systems, as applied to the structure of the nucleus. The solutions are performed on a three-dimensional Cartesian lattice. Discretization is achieved through the lattice basis-spline collocation method, in which quantum-state vectors and coordinate-space operators are expressed in terms of basis-spline functions on a spatial lattice. All numerical procedures reduce to a series of matrix-vector multiplications and other elementary operations, which we perform on a number of different computing architectures, including the Intel Paragon and the Intel iPSC/860 hypercube. Parallelization is achieved through a combination of mechanisms employing the Gram-Schmidt procedure, broadcasts, global operations, and domain decomposition of state vectors. We discuss the approach to the problems of limited node memory and node-to-node communication overhead inherent in using distributed-memory, multiple-instruction, multiple-data stream parallel computers. An algorithm was developed to reduce the communication overhead by pipelining some of the message passing procedures.
Metrics
Details
- Title
- Parallel implementation of many-body mean-field equations
- Creators
- C.R. Chinn - Oak Ridge National LaboratoryA.S. Umar - Oak Ridge National LaboratoryM. Vallieres - Drexel UniversityM.R. Strayer - Oak Ridge National Laboratory
- Publication Details
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, v 50:6(6), pp 5096-5106
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics; [Retired Faculty]
- Web of Science ID
- WOS:A1994QA10800092
- Scopus ID
- 2-s2.0-4244153642
- Other Identifier
- 991022043973704721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Physics, Fluids & Plasmas
- Physics, Mathematical