Time-dependent FEM solution of the incompressible Navier--Stokes equations in two- and three-dimensions

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Description

Future prospects regarding the numerical solution of the Navier-Stokes equations using the finite element method are discussed. Since the ultimate goal is to solve these equations in three-dimensions, only the primitive variable (u,P) formulation is considered. A novel feature of the two-dimensional solution technique relates to the methodology developed and employed for solving the semi-discretized system of ordinary differential equations, which are outlined in the section describing the development of the two-dimensional code. Following the discussion of numerical results from two-dimensional calculations, three-dimensional flows are discussed, where several potentially viable options are considered. (TFD)

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Pages: 59

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Gresho, P.M.; Lee, R.L.; Sani, R.L. & Stullich, T.W. July 7, 1978.

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Description

Future prospects regarding the numerical solution of the Navier-Stokes equations using the finite element method are discussed. Since the ultimate goal is to solve these equations in three-dimensions, only the primitive variable (u,P) formulation is considered. A novel feature of the two-dimensional solution technique relates to the methodology developed and employed for solving the semi-discretized system of ordinary differential equations, which are outlined in the section describing the development of the two-dimensional code. Following the discussion of numerical results from two-dimensional calculations, three-dimensional flows are discussed, where several potentially viable options are considered. (TFD)

Physical Description

Pages: 59

Notes

Dep. NTIS, MF A01.

Source

  • Conference on numerical methods in laminar and turbulent flow, Swansea, UK, 18 Jul 1978

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  • Report No.: UCRL-81323
  • Report No.: CONF-780712-7
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 6659178
  • Archival Resource Key: ark:/67531/metadc1182905

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Office of Scientific & Technical Information Technical Reports

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  • July 7, 1978

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  • July 3, 2018, 8:14 a.m.

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Gresho, P.M.; Lee, R.L.; Sani, R.L. & Stullich, T.W. Time-dependent FEM solution of the incompressible Navier--Stokes equations in two- and three-dimensions, article, July 7, 1978; United States. (digital.library.unt.edu/ark:/67531/metadc1182905/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.