A finite element penalty algorithm for the parabolic Navier-Stokes equations for turbulent three-dimensional flow
The three-dimensional Navier-Stokes equations governing steady, turbulent subsonic flows have been simplified into the 'parabolic' form using a formal order of magnitude analysis procedure. The results of this analysis confirm that the transverse momentum equations, to first order, govern appropriate pressure distributions, and that the continuity equation governs first-order effects of transverse plane momenta. This paper reviews the identification of a well-posed, initial boundary-value differential equation description, and construction and evaluation of a numerical solution algorithm for the parabolic Navier-Stokes equations in physical variables. Numerical results for a broad problem class range in fluid mechanics are summarized, highlighting the versatility and accuracy of the algorithm.
three-dimensional Navier-Stokes equations
well-posed, initial boundary-value differential equation description
scientific article; zbMATH DE number 3848816
scientific article