Segmented Domain Decomposition Multigrid Solutions for Two and Three-Dimensional Viscous Flows

[+] Author and Article Information
Kumar Srinivasan, Stanley G. Rubin

Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, Cincinnati, OH 45221

J. Fluids Eng 115(4), 608-613 (Dec 01, 1993) (6 pages) doi:10.1115/1.2910187 History: Received February 10, 1993; Revised April 21, 1993; Online May 23, 2008


Several viscous incompressible two and three-dimensional flows with strong inviscid interaction and/or axial flow reversal are considered with a segmented domain decomposition multigrid (SDDMG) procedure. Specific examples include the laminar flow recirculation in a trough geometry and in a three-dimensional step channel. For the latter case, there are multiple and three-dimensional recirculation zones. A pressure-based form of flux-vector splitting is applied to the Navier-Stokes equations, which are represented by an implicit, lowest-order reduced Navier-Stokes (RNS) system and a purely diffusive, higher-order, deferred-corrector. A trapezoidal or box-like form of discretization insures that all mass conservation properties are satisfied at interfacial and outflow boundaries, even for this primitive-variable non-staggered grid formulation. The segmented domain strategy is adapted herein for three-dimensional flows and is extended to allow for disjoint subdomains that do not share a common boundary.

Copyright © 1993 by The American Society of Mechanical Engineers
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