Numerical research on the hydrodynamic stability of Blasius flow with spectral method
Orr-Sommerfeld equation is solved numerically using expansions in Chebyshev polynomials. The numerical results show a good agreement with Howarth’s solution, with relatively low computational cost. This method is then applied to the stability of flat plate boundary layer flow compared with the finite difference method; our study shows that the expansions in Chebyshev polynomials are more suitable for the solution of hydrodynamic stability problems than the expansions in finite difference method.
Key wordslinear stability Blasius equation Chebyshev polynomials spectral method
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