Viscous Split Algorithms for the Time Dependent Incompressible Navier Stokes Equations

reportActive / Technical Report | Accession Number: ADA211592 | Open PDF

Abstract:

For problems involving the processes of convection and diffusion, a viscous split algorithm is one in which each process is solved separately. The emphasis of this paper is the application of this procedure to obtain numerical solutions to the incompressible Navier-Stokes equations. A second order Godunov method is used to solve the convection step of the algorithm. The diffusion step Stokes equation is solved by the Galerkin Finite Difference Method which projects the solution onto a discreetly divergence free space using local mesh basis functions. Numerical results for both steady and unsteady flows are presented.

Author(s):
Szymczak, William G.
Author Organization(s):
NAVAL SURFACE WARFARE CENTER SILVER SPRING MD
Descriptive Note:
Final rept. 1986-1988
Supplementary Note:
DOI: 10.21236/ADA211592
Pagination:
0016

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
NSWC-TR-89-136
Task Number(s):
ZR02302
Project Number(s):
ZR00001
Monitor Series:
NSWC
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_1.3_Human Capital Management; JCA_1.3.2_Personnel Management
Modernization Areas:
Quantum Science and Computing
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*VISCOSITY, *NAVIER STOKES EQUATIONS, *ALGORITHMS, MESH, FINITE DIFFERENCE THEORY, SOLUTIONS(GENERAL), UNSTEADY FLOW, SPLITTING, INCOMPRESSIBLE FLOW, INCOMPRESSIBILITY, STEADY FLOW, CONVECTION, NUMERICAL ANALYSIS, RECIRCULATION, TIME DEPENDENCE
Field(s)/Group(s):
Fluid Mechanics
Keyword(s):
GODUNOV METHOD, GALERKIN METHOD, INCOMPRESSIBLE FLOWS, RECIRCULATION FLOW, PE61152N, WUR01AA625
Report Date:
1989 Jun 06