%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 }