Open AccessA NUMERICAL SCHEME FOR SOLVING CREEPING FLOWS
Author(s) -
H. A. Navarro,
V. G. Ferreira
Publication year - 2003
Publication title -
engenharia térmica
Language(s) - English
Resource type - Journals
ISSN - 1676-1790
DOI - 10.5380/reterm.v2i2.3474
Subject(s) - stream function , extension (predicate logic) , reynolds number , mathematics , scheme (mathematics) , vorticity , flow (mathematics) , work (physics) , alternating direction implicit method , function (biology) , computer science , mathematical optimization , mathematical analysis , vortex , geometry , mechanics , physics , finite difference method , evolutionary biology , biology , turbulence , thermodynamics , programming language
This work shows an extension of the generalized Peaceman and
Rachford alternating-direction implicit (ADI) scheme for simulating
two-dimensional fluid flows at low Reynolds numbers. The
conservation equations are solved in stream function - vorticity
formulation. We compare the ADI and generalized ADI schemes, and
show that the latter is more efficient to simulate a creeping flow.
Numerical results demonstrating the applicability of this technique are
also presented.