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A Numerical Method for Solving Incompressible Viscous Flow Problems

Journal of Computational Physics · 1997 · Vol. 135(2) · pp. 118–125

Alexandre J. Chorin✉(Courant Institute of Mathematical Sciences)

Abstract

A numerical method for solving incompressible viscous flow problems is introduced. This method uses the velocities and the pressure as variables and is equally applicable to problems in two and three space dimensions. The principle of the method lies in the introduction of an artificial compressibility δ into the equations of motion, in such a way that the final results do not depend on δ. An application to thermal convection problems is presented.

Advanced Numerical Methods in Computational Mathematics Computational Fluid Dynamics and Aerodynamics Numerical methods for differential equationsCompressibilityIncompressible flowMathematicsFlow (mathematics)Pressure-correction methodNumerical analysisSpace (punctuation)MechanicsClassical mechanicsCalculus (dental)

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