ISSN:
1573-2703
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Technik allgemein
Notizen:
Summary The numerical method presented treats the primitive-variable form of the Navier-Stokes equations. It is shown how to treat the generalised orthogonal coordinate form of the equations in order to retain the numerical stability of the linearised equations when these are approximated by finite differences. A property analogous to diagonal dominance in more simple systems is shown to exist for the complete set of difference approximations to the flow equations so that the matrix of the finite-difference equations has all of its eigen values in the left-hand half-plane. It follows that the linearized equations are unconditionally stable. An entirely new difference scheme for the continuity equation is derived and shown to be superior to the more commonly used “central-difference” approximations for the high-Reynolds-number flow considered. The total “package” is tested against experiment on a shear flow through a 90° rectangular bend. The experimental measurements are of total-pressure distributions, and these indicate the presence of a strong secondary flow. The computed results give a close agreement to the experimental results.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00052540
