A semi-implicit numerical method for the three-dimensional incompressible Navier-Stokes equations is presented. The method describes the velocity and the non-hydrostatic pressure field and the free surface evolution in time. The governing equations are discretized by means of the finite volume method on a structured non-uniform grid; for this reason both local and global mass conservation are guaranteed. Convective and diffusive fluxes on the control volume faces, as well as boundary conditions, are approximated by high-order formulae. Copyright © 2006 John Wiley & Sons, Ltd.
Deponti, A., Pennati, V., DE BIASE, L. (2006). A fully 3D finite volume method for incompressible Navier-Stokes equations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 52(6), 617-638 [10.1002/fld.1190].
A fully 3D finite volume method for incompressible Navier-Stokes equations
DEPONTI, ALBERTO;DE BIASE, LUCIA
2006
Abstract
A semi-implicit numerical method for the three-dimensional incompressible Navier-Stokes equations is presented. The method describes the velocity and the non-hydrostatic pressure field and the free surface evolution in time. The governing equations are discretized by means of the finite volume method on a structured non-uniform grid; for this reason both local and global mass conservation are guaranteed. Convective and diffusive fluxes on the control volume faces, as well as boundary conditions, are approximated by high-order formulae. Copyright © 2006 John Wiley & Sons, Ltd.
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