21st Congress of International Council of the Aeronautical Sciences, Melbourne, Australia, 13-18 September, 1998
Paper ICAS-98-2.7.2

A FAST AND ACCURATE METHOD FOR SOLVING THE NAVIER-STOKES EQUATIONS

MacCormack R. W.
Stanford University, U.S.A.

Keywords: solving, navier-stokes equations

An implicit procedure for minimizing the error introduced by approximate factorization is presented for solving the unsteady Euler or Navier-Stokes equations. Numerical viscosity is added directly to the flow equations by augmenting the natural viscosity, similar in concept to .that of an eddy viscosity. This approach preserves the frame independence of the of the governing equations even when solved in arbitrary curvilinear coordinate systems. Convergence rates of approximately 0.8 are achieved upon application for high Reynold's number supersonic flow past a blunt body. Converged solutions, to at least engineering accuracy, are obtained in about 100 time steps on adapted grids.

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