An Accurate Compact Treatment of Pressure
for Colocated Variables
Emmanuel Dormy
U.C.L.A./I.G.P.P. 405 Hilgard Avenue, Los Angeles Ca
90095-1567
Journal of Computational Physics, 151, 676-683 (1999)
Abstract. We propose a new scheme for the pressure treatment
in computations of incompressible-flow using a colocated grid
arrangement. To avoid oscillations associated with the sparse
non-compact stencil, we introduce a compact fourth-order equivalent
of this stencil and study its advantages over the classical second
order
averaging procedure.
Key Words: compact differencing, incompressible
Navier-Stokes equation, velocity-pressure decoupling.