Premium
A high‐order characteristics/finite element method for the incompressible Navier‐Stokes equations
Author(s) -
Boukir K.,
Maday Y.,
Métivet B.,
Razafindrakoto E.
Publication year - 1997
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19971230)25:12<1421::aid-fld334>3.0.co;2-a
Subject(s) - discretization , mathematics , finite element method , pressure correction method , compressibility , navier–stokes equations , temporal discretization , stability (learning theory) , mathematical analysis , numerical analysis , scheme (mathematics) , physics , mechanics , computer science , machine learning , thermodynamics
In this paper we consider a discretization of the incompressible Navier‐Stokes equations involving a second‐order time scheme based on the characteristics method and a spatial discretization of finite element type. Theoretical and numerical analyses are detailed and we obtain stability results abnd optimal eror estimates on the velocity and pressure under a time step restriction less stringent than the standard Courant‐Freidrichs‐Levy condition. Finally, some numerical results obtained wiht the code N3S are shown which justify the interest of this scheme and its advantages with respect to an analogous first‐order time scheme. © 1997 John Wiley & Sons, Ltd.