Steady and unsteady solutions of the incompressible Navier-Stokes equations

Journal Article · Mon Apr 01 04:00:00 EST 1991 · AIAA Journal (American Institute of Aeronautics and Astronautics); (United States)

DOI:https://doi.org/10.2514/3.10627· OSTI ID:5665259

Rogers, S E; Kwak, D; Kiris, C ^[1]

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1. NASA, Ames Research Center, Moffett Field, CA (USA)

An algorithm for the solution of the incompressible Navier-Stokes equations in three-dimensional generalized curvilinear coordinates is presented. The algorithm can be used to compute both steady-state and time-dependent flow problems. The algorithm is based on the method of artificial compressibility and uses a third-order flux-difference splitting technique for the convective terms and the second-order central difference for the viscous terms. The accuracy is obtained in the numerical solutions by subiterating the equations in pseudotime for each physical time step. The equations are solved with a line-relaxation scheme that allows the use of very large pseudotime steps leading to fast convergence for steady-state problems as well as for the subiterations of time-dependent problems. The steady-state solution of flow through a square duct with a 90-deg bend is computed, and the results are compared with experimental data. Good agreement is observed. Computations of unsteady flow over a circular cylinder are presented and compared to other experimental and computational results. Finally, the flow through an artificial heart configuration with moving boundaries is calculated and presented. 28 refs.

• OSTI ID: 5665259
• Journal Information: AIAA Journal (American Institute of Aeronautics and Astronautics); (United States), Journal Name: AIAA Journal (American Institute of Aeronautics and Astronautics); (United States) Vol. 29; ISSN 0001-1452; ISSN AIAJA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
640410* -- Fluid Physics-- General Fluid Dynamics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ACCURACY
ALGORITHMS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
COORDINATES
CURVILINEAR COORDINATES
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
MATHEMATICAL LOGIC
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
STEADY FLOW
TIME DEPENDENCE
UNSTEADY FLOW
USES