finite difference method, based on the generation of a discrete stream function, is proposed for the solution of unsteady incompressible viscous flows. The discrete stream function is obtained by operating as at the continuum level, but directly on the discretized form of the Navier Stokes equations. The resulting numerical procedure allows the boundary conditions to be given in primitive variables and, at the same time, produces a set of velocities which exactly satisfy the mass conservation in discretized form, by eliminating the pressure as a variable to be computed. These features of the method are very useful for free surface unsteady problems. For this purpose the extension of the method to curvilinear moving grids is outlined. The general properties of the method in comparison with others based on the continuum stream function are discussed and illustrated with some computational results.

A reduced implicit scheme, via discrete stream function generation, for unsteady Navier-Stokes equations in general curvilinear coordinates / Bulgarelli, U.; Graziani, Giorgio; Mansutti, D.; Piva, Renzo. - STAMPA. - 13:(1986), pp. 31-39. (Intervento presentato al convegno SIXTH GAMM-CONF. ON NUMERICAL METHODS IN FLUID MECHANICS tenutosi a GOTTINGEN, FED. REP. GERMANY nel SEP. 25-27, 1985).

### A reduced implicit scheme, via discrete stream function generation, for unsteady Navier-Stokes equations in general curvilinear coordinates.

#### Abstract

finite difference method, based on the generation of a discrete stream function, is proposed for the solution of unsteady incompressible viscous flows. The discrete stream function is obtained by operating as at the continuum level, but directly on the discretized form of the Navier Stokes equations. The resulting numerical procedure allows the boundary conditions to be given in primitive variables and, at the same time, produces a set of velocities which exactly satisfy the mass conservation in discretized form, by eliminating the pressure as a variable to be computed. These features of the method are very useful for free surface unsteady problems. For this purpose the extension of the method to curvilinear moving grids is outlined. The general properties of the method in comparison with others based on the continuum stream function are discussed and illustrated with some computational results.
##### Scheda breve Scheda completa
1986
SIXTH GAMM-CONF. ON NUMERICAL METHODS IN FLUID MECHANICS
Navier-Stokes equations; curvilinear coordinates; streamfunction approach
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
A reduced implicit scheme, via discrete stream function generation, for unsteady Navier-Stokes equations in general curvilinear coordinates / Bulgarelli, U.; Graziani, Giorgio; Mansutti, D.; Piva, Renzo. - STAMPA. - 13:(1986), pp. 31-39. (Intervento presentato al convegno SIXTH GAMM-CONF. ON NUMERICAL METHODS IN FLUID MECHANICS tenutosi a GOTTINGEN, FED. REP. GERMANY nel SEP. 25-27, 1985).
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/11573/392373`
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