Second-order accurate no-slip conditions for solving problems of incompressible viscous flows

Journal Article · Tue Mar 01 04:00:00 EST 1994 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1994.1043· OSTI ID:7242396

Mukhopadhyay, S ^[1]; Basu, B C ^[2]

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1. Saha Institute of Nuclear Physics, Calcutta (India)
2. Indian Institute of Technology, Kharagpur (India)

Boundary conditions of the third kind (also known as Robbins conditions) has been used to devise an extremely simple method of satisfying the no-slip boundary condition to second-order accuracy for solving problems of incompressible viscous flows using the vorticity-stream function form of the complete unsteady Navier-Stokes equations. It has been applied to the much-tested problem of flow past circular cylinders. Excellent agreement has been obtained with previous theoretical and experimental results despite the use of simple finite-difference techniques. The results obtained using the proposed approach have been compared with those obtained by straightforward use of the Dirichlet condition and it is easy to see that for unsteady problems the proposed technique is much superior to the conventional one. Finally, a study has been carried out to check the dependence of the present scheme on spatial discretization and the position of the outer boundary. It has been concluded that despite the [open quotes]local[close quotes] nature of the improvement, the proposed technique is encouragingly fast, stable, and accurate because it allow satisfaction of no-slip to a higher order of accuracy. 16 refs., 9 figs., 3 tabs.

• OSTI ID: 7242396
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 111:1; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
BOUNDARY CONDITIONS
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
INCOMPRESSIBLE FLOW
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
VISCOUS FLOW