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.
Description
Prepared for International Conference on Numerical Methods in Laminar & Turbulent Flow, Swansea, Wales, 17–21 July 1978
%0 Report
%1 greshotimedependent
%A Gresho, P.M.
%A Lee, R.L.
%A Sani, R.L.
%A Stullich, T.W.
%D 1978
%K 35q30-navier-stokes-equations 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics
%N UCRL–81323
%T Time-dependent FEM solution of the incompressible Navier--Stokes equations in two- and three-dimensions
%U https://inis.iaea.org/search/search.aspx?orig_q=RN:10426723
%X 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.
@techreport{greshotimedependent,
abstract = { 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.},
added-at = {2019-11-06T01:31:31.000+0100},
author = {Gresho, P.M. and Lee, R.L. and Sani, R.L. and Stullich, T.W.},
biburl = {https://www.bibsonomy.org/bibtex/26dbefd128b84b67dca164f615fd9a04d/gdmcbain},
description = {Prepared for International Conference on Numerical Methods in Laminar & Turbulent Flow, Swansea, Wales, 17–21 July 1978},
eventdate = {18 - 21 Jul 1978},
institution = {Lawrence Livermore Laboratory},
interhash = {1910196dc6814159bae23290744a0346},
intrahash = {6dbefd128b84b67dca164f615fd9a04d},
keywords = {35q30-navier-stokes-equations 76d05-incompressible-navier-stokes-equations 76m10-finite-element-methods-in-fluid-mechanics},
month = jul,
number = {UCRL–81323},
timestamp = {2019-11-06T01:35:23.000+0100},
title = {Time-dependent FEM solution of the incompressible Navier--Stokes equations in two- and three-dimensions},
type = {Preprint},
url = {https://inis.iaea.org/search/search.aspx?orig_q=RN:10426723},
venue = {Swansea, UK},
year = 1978
}