Fourth-order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds numbers
نویسندگان
چکیده
منابع مشابه
Fourth Order Compact Formulation of Navier-Stokes Equations and Driven Cavity Flow at High Reynolds Numbers
A new fourth order compact formulation for the steady 2-D incompressible Navier-Stokes equations is presented. The formulation is in the same form of the Navier-Stokes equations such that any numerical method that solve the Navier-Stokes equations can easily be applied to this fourth order compact formulation. In particular in this work the formulation is solved with an efficient numerical meth...
متن کاملError correction method for Navier-Stokes equations at high Reynolds numbers
Article history: Received 5 February 2013 Received in revised form 27 June 2013 Accepted 30 July 2013 Available online 23 August 2013
متن کاملA High Order Compact Scheme for the Pure-Streamfunction Formulation of the Navier-Stokes Equations
In this paper we continue the study, which was initiated in (Ben-Artzi et al. in Math. Model. Numer. Anal. 35(2):313–303, 2001; Fishelov et al. in Lecture Notes in Computer Science, vol. 2667, pp. 809–817, 2003; Ben-Artzi et al. in J. Comput. Phys. 205(2):640–664, 2005 and SIAM J. Numer. Anal. 44(5):1997–2024, 2006) of the numerical resolution of the pure streamfunction formulation of the time-...
متن کاملA High Order Pointwise Solution of Compressible Navier-Stokes Equations in Lid-Driven Cavity Flows
In this paper, we propose a high order Galerkin discretization scheme for solving steady compressible Navier-Stokes equations. The pointwise numerical fluxes are separated into convective fluxes, acoustic fluxes, and viscous fluxes. The separation of convective flux and viscous flux is to avoid round off errors. The separation of the acoustic flux is due to non-central scheme employed near the ...
متن کاملA Novel Model Order Reduction Approach for Navier-Stokes Equations at High Reynolds Number
MACIEJ J. BALAJEWICZ1†, EARL H. DOWELL2 AND BERND R. NOACK3 Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, USA Department of Mechanical Engineering and Materials Science, Duke University, Durham, NC 27708, USA Institut PPRIME, CNRS – Université de Poitiers – ENSMA, UPR 3346, Départment Fluides, Thermique, Combustion, CEAT, 43 rue de l’Aérodrome, F-86036 POI...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2005
ISSN: 0271-2091,1097-0363
DOI: 10.1002/fld.1061