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Numerical solution of the Navier-Stokes equations

Mathematics of Computation · 1968 · Vol. 22(104) · pp. 745–762
Alexandre J. Chorin

Abstract

A finite-difference method for solving the time-dependent NavierStokes equations for an incompressible fluid is introduced. This method uses the primitive variables, i.e. the velocities and the pressure, and is equally applicable to problems in two and three space dimensions. Test problems are solved, and an application to a three-dimensional convection problem is presented.

Lattice Boltzmann Simulation StudiesComputational Fluid Dynamics and AerodynamicsNavier-Stokes equation solutionsMathematicsNavier–Stokes equationsPressure-correction methodCompressibilitySpace (punctuation)Mathematical analysisApplied mathematicsMechanicsComputer science
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