TY - JOUR
T1 - Novel Finite Difference Scheme for the Numerical Solution of Two-Dimensional Incompressible Navier-Stokes Equations
AU - Moshkin , N. P.
AU - Poochinapan , K.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 321
EP - 329
PY - 2010
DA - 2010/07
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/722.html
KW - Navier-Stokes equations, incompressible viscous flow, finite difference scheme.
AB - <p style="text-align: justify;">In the present article, a new methodology has been developed
to solve two-dimensional (2D) Navier-Stokes equations (NSEs) in new form
proposed by Pukhnachev (J. Appl. Mech. Tech. Phys., 45:2 (2004), 167-171)
who introduces a new unknown function that is related to the pressure and the
stream function. The important distinguish of this formulation from vorticity-stream
function form of NSEs is that stream function satisfies to the transport
equation and the new unknown function satisfies to the elliptic equation. The
scheme and algorithm treat the equations as a coupled system which allows
one to satisfy two conditions for stream function with no condition on the new
function. The numerical algorithm is applied to the lid-driven cavity flow as the
benchmark problem. The characteristics of this flow are adequately represented
by the new numerical model.</p>