A finite element-boundary element method for advection-diffusion problems with variable advective fields and infinite domains

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In this paper a hybrid, finite element--boundary element method which can be used to solve for particle advection-diffusion in infinite domains with variable advective fields is presented. In previous work either boundary element, finite element, or difference methods have been used to solve for particle motion in advective-diffusive domains. These methods have a number of limitations. Due to the complexity of computing spatially dependent Green`s functions, the boundary element method is limited to domains containing only constant advective fields, and due to their inherent formulation, finite element and finite difference methods are limited to only domains of finite spatial extent. ... continued below

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29 p.

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Driessen, B.J. & Dohner, J.L. August 1, 1998.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

In this paper a hybrid, finite element--boundary element method which can be used to solve for particle advection-diffusion in infinite domains with variable advective fields is presented. In previous work either boundary element, finite element, or difference methods have been used to solve for particle motion in advective-diffusive domains. These methods have a number of limitations. Due to the complexity of computing spatially dependent Green`s functions, the boundary element method is limited to domains containing only constant advective fields, and due to their inherent formulation, finite element and finite difference methods are limited to only domains of finite spatial extent. Thus, finite element and finite difference methods are limited to finite space problems for which the boundary element method is not, and the boundary element method is limited to constant advection field problems for which finite element and finite difference methods are not. In this paper it is proposed to split a domain into two sub-domains, and for each of these sub domains, apply the appropriate solution method; thereby, producing a method for the total infinite space, variable advective field domain.

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29 p.

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OSTI as DE99000469

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  • Other Information: PBD: Aug 1998

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  • Other: DE99000469
  • Report No.: SAND--98-1813
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/677125 | External Link
  • Office of Scientific & Technical Information Report Number: 677125
  • Archival Resource Key: ark:/67531/metadc711964

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  • August 1, 1998

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  • Sept. 12, 2015, 6:31 a.m.

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  • May 5, 2016, 8:04 p.m.

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Driessen, B.J. & Dohner, J.L. A finite element-boundary element method for advection-diffusion problems with variable advective fields and infinite domains, report, August 1, 1998; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc711964/: accessed July 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.