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Soh, W. Y.; Goodrich, John W.

Unsteady solution of incompressible Navier-Stokes equations. (English) Zbl 0651.76012

J. Comput. Phys. 79, No. 1, 113-134 (1988).
A new time-accurate finite-difference numerical method for solving incompressible Navier-Stokes equations is presented with primitive variables as the unknowns. The numerical scheme is a Crank-Nicolson implicit treatment of all terms of the equations with central differencing for space derivatives. The pressure and the nonlinearities in convection terms are not lagged. To obtain the incompressible solution at the advanced time level a continuous auxiliary system is introduced in pseudo time with artificial compressibility. Time-accurate solutions are presented for two-dimensional fluid flows in a square cavity with an impulsively starting lid and with an oscillating lid.

Cited in 51 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics

Keywords:

time-accurate finite-difference numerical method; incompressible Navier- Stokes equations; numerical scheme; Crank-Nicolson implicit treatment; nonlinearities; artificial compressibility; two-dimensional fluid flows; square cavity
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References:

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