%0 Journal Article %1 noauthororeditor %A Hervouet, J.-M. %A Razafindrakoto, E. %D 2005 %J WIT Transactions on The Built Environment %K 76d05-incompressible-navier-stokes-equations 76d27-other-free-boundary-flows-hele-shaw-flows 76m10-finite-element-methods-in-fluid-mechanics %P 3-11 %T The wave equation applied to the solution of Navier-Stokes equations in finite elements %U https://www.witpress.com/Secure/elibrary/papers/CE05/CE05001FU.pdf %V 78 %X This paper deals with the numerical solution of 3-dimensional Navier-Stokes equations with a free surface, in the framework of finite elements and the Telemac system. The idea of the wave equation is applied here. It was previously used for solving Shallow Water Equations and consists of eliminating the velocity in the depth-averaged continuity equation thanks to an expression obtained with the momentum equations. After an overview of the basic solution procedure in Telemac-3D we detail the new algorithm and show its advantages in terms of computer time.

@article{noauthororeditor, abstract = {This paper deals with the numerical solution of 3-dimensional Navier-Stokes equations with a free surface, in the framework of finite elements and the Telemac system. The idea of the wave equation is applied here. It was previously used for solving Shallow Water Equations and consists of eliminating the velocity in the depth-averaged continuity equation thanks to an expression obtained with the momentum equations. After an overview of the basic solution procedure in Telemac-3D we detail the new algorithm and show its advantages in terms of computer time.}, added-at = {2021-08-11T16:18:03.000+0200}, author = {Hervouet, J.-M. and Razafindrakoto, E.}, biburl = {https://www.bibsonomy.org/bibtex/2c9e34b53ac48699204d084cd44883612/gdmcbain}, interhash = {b2a376454631f437c13242bda9fdd752}, intrahash = {c9e34b53ac48699204d084cd44883612}, issn = {1743-3509}, journal = {WIT Transactions on The Built Environment}, keywords = {76d05-incompressible-navier-stokes-equations 76d27-other-free-boundary-flows-hele-shaw-flows 76m10-finite-element-methods-in-fluid-mechanics}, pages = {3-11}, timestamp = {2021-08-11T16:18:03.000+0200}, title = {The wave equation applied to the solution of Navier-Stokes equations in finite elements }, url = {https://www.witpress.com/Secure/elibrary/papers/CE05/CE05001FU.pdf}, volume = 78, year = 2005 }