Hybrid vortex-ADI solution for flows of low viscosity

Journal Article · Fri Jun 01 04:00:00 EDT 1979 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(79)90050-0· OSTI ID:6092262

Shestakov, A I

A hybrid numerical scheme is presented for use on two-dimensional, incompressible flows of low viscosity. The scheme divides the domain D into two regions, D/sub 1/, and D/sub 2/, and the Navier-Stokes equations are solved by different methods in each. in the region D/sub 1/, which is composed of a narrow strip adjoining the boundary, the grid-free vortex method is used. An alternating direction implicit (ADI) method is used in the interior domain D/sub 2/ which contains that part of D that lies a short distance away from the boundary. The hybrid method allows vorticity exchange between the two regions by partially merging and realigning them. Boundary conditions for the vorticity are automatically treated by the vortex method. Favorable numerical results have been obtained for the problem of recirculating flow in a square cavity for Reynolds number of 400 and 1000.

• Research Organization: Lawrence Livermore Laboratory, Livermore, California 94550
• OSTI ID: 6092262
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 31:3; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
FLUID MECHANICS
INCOMPRESSIBLE FLOW
MECHANICS
NAVIER-STOKES EQUATION
NUMERICAL SOLUTION
REYNOLDS NUMBER
TWO-DIMENSIONAL CALCULATIONS
VISCOSITY