The problem of finding the correct conditions for the pressure in the time discretized Navier-Stokes equations when the incompressibility constraint is replaced by a Poisson equation for the pressure is critically examined. It is shown that the pressure conditions required in a nonfractional-step scheme to formulate the problem as a system of split second-order equations are of an integral character and similar to the previously discovered integral conditions for the vorticity. The novel integral conditions for the pressure are used to derive a finite element method which is very similar to that developed by Glowinski and Pironneau and is the finite element counterpart of the influence matrix method of Kleiser and Schumann.

Integral conditions for the pressure in the computation of incompressible viscous flows / Quartapelle, L.; Napolitano, M.. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - STAMPA. - 62:2(1986), pp. 340-348. [10.1016/0021-9991(86)90132-4]

Integral conditions for the pressure in the computation of incompressible viscous flows

M. Napolitano
1986-01-01

Abstract

The problem of finding the correct conditions for the pressure in the time discretized Navier-Stokes equations when the incompressibility constraint is replaced by a Poisson equation for the pressure is critically examined. It is shown that the pressure conditions required in a nonfractional-step scheme to formulate the problem as a system of split second-order equations are of an integral character and similar to the previously discovered integral conditions for the vorticity. The novel integral conditions for the pressure are used to derive a finite element method which is very similar to that developed by Glowinski and Pironneau and is the finite element counterpart of the influence matrix method of Kleiser and Schumann.
1986
Integral conditions for the pressure in the computation of incompressible viscous flows / Quartapelle, L.; Napolitano, M.. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - STAMPA. - 62:2(1986), pp. 340-348. [10.1016/0021-9991(86)90132-4]
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/2624
Citazioni
  • Scopus 32
  • ???jsp.display-item.citation.isi??? ND
social impact