Fast Multipole Solvers for Three-Dimensional Radiation and Fluid Flow Problems

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A number of physics problems can be modeled by a set of N elements, which have pair-wise interactions with one another. The use of such elements for the evolution of vorticity in fluid flows and the calculation of the velocity field from the evolving vorticity field is well known. Fast multipole methods for fluid flow problems have been developed in we pmt to reduce computational effort to something less than O(N) . In this paper we develop a fast multipole solver with application to both 3-D radiation problems (calculation of the heat flux from the evolving temperature field in an ... continued below

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Baty, R.S.; Burns, S.P.; Gritzo, L.A.; Homicz, G.F. & Strickland, J.H. November 5, 1998.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Laboratories, Albuquerque, NM, and Livermore, CA
    Place of Publication: Albuquerque, New Mexico

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A number of physics problems can be modeled by a set of N elements, which have pair-wise interactions with one another. The use of such elements for the evolution of vorticity in fluid flows and the calculation of the velocity field from the evolving vorticity field is well known. Fast multipole methods for fluid flow problems have been developed in we pmt to reduce computational effort to something less than O(N) . In this paper we develop a fast multipole solver with application to both 3-D radiation problems (calculation of the heat flux from the evolving temperature field in an absorbing medium) and 3-D fluid flow. This is accomplished by using a more general kernel for the associated volume integrals. This kernel also encompasses other applications such as gravitational fields, electrostatics, scattering, etc. The present algorithm has been designed to have a very high "parallel efficiency" when used on massively parallel computers. This feature comes at the expense of computational effort, which is less than O(N) but greater than O(N) or O(MnN).

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  • Journal Name: ESAIM

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  • Other: DE00001520
  • Report No.: SAND98-0455J
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 1520
  • Archival Resource Key: ark:/67531/metadc620006

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  • November 5, 1998

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  • June 16, 2015, 7:43 a.m.

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  • Nov. 28, 2016, 2:44 p.m.

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Baty, R.S.; Burns, S.P.; Gritzo, L.A.; Homicz, G.F. & Strickland, J.H. Fast Multipole Solvers for Three-Dimensional Radiation and Fluid Flow Problems, article, November 5, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc620006/: accessed June 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.