M. Page et al., IMPOSITION OF SLIP BOUNDARY-CONDITIONS WITHOUT THE EXPLICIT COMPUTATION OF CONSISTENT NORMALS, Communications in numerical methods in engineering, 13(12), 1997, pp. 949-961
Computational fluid dynamics simulations often require the imposition
of slip boundary conditions: zero-normal velocity. When the geometry i
s complex, the imposition of this type of boundary condition is not tr
ivial since the current implementations require the computation of con
sistent normals. The slip boundary condition can be viewed as a constr
aint to the solution. Hence in the framework of the Lagrange multiplie
r approach, we present an accurate general implementation of consisten
t normals. With this new approach, these consistent normals are not co
mputed explicitly at the expense of adding new unknowns - the Lagrange
multipliers of the constraint - which can be interpreted as normal fo
rces on the flow. (C) 1997 John Wiley & Sons, Ltd.