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Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method. (English) Zbl 0987.76070

The work concerns the computation of singular solutions of Navier-Stokes equations using the Chebyshev collocation method. A treatment of these singularities is necessary in order to preserve the accuracy of high-order methods. The authors employ the singularity subtraction technique which allows to compute a smooth solution after the subtraction of the leading part of singular solution.

MSC:

76M22 Spectral methods applied to problems in fluid mechanics
76D05 Navier-Stokes equations for incompressible viscous fluids
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
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