Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method (Q2729128)

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scientific article; zbMATH DE number 1621573
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Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method
scientific article; zbMATH DE number 1621573

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    Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method (English)
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    17 June 2002
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    asymptotic expansion
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    Chebyshev collocation method
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    Navier-Stokes equations
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    singular solutions
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    singularity subtraction technique
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    spectral method
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    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.
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