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Numerical simulation and self-similar analysis of singular solutions of Prandtl equations

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  • We use the iterative grid redistribution method(IGR) to solve Prandtl equations and study the self-similar behavior of the singular solutions of them. The IGR method enables us to get more accurate solutions of Prandtl equations when they develop singularity. We also study the self-similar behavior of the singular solutions. Blow up rate and blow up profiles are derived and the results are verified by the numerical solutions.
    Mathematics Subject Classification: Primary: 35Q30, 14E15; Secondary: 60G18, 33F05.


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