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On Spectral Approximations for the Stability Analysis of Boundary Layers

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Udgivet i:Computational Mathematics and Mathematical Physics vol. 65, no. 1 (Jan 2025), p. 49
Hovedforfatter: Zasko, G. V.
Udgivet:
Springer Nature B.V.
Fag:
Velocity
Mathematical analysis
Collocation methods
Boundary layer stability
Approximation
Numerical analysis
Stability analysis
Methods
Polynomials
Laguerre functions
Galerkin method
Reynolds number
Boundary conditions
Boundary value problems
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Resumen:This paper devotes to the approximation of spectral and boundary-value problems arising in the stability analysis of incompressible boundary layers. As an alternative to the collocation method with mappings, the Galerkin–collocation method based on Laguerre functions is adopted. A robust numerical implementation of the latter method is discussed. The methods are compared within the stability analysis of the Blasius and Ekman layers. The Galerkin–collocation method demonstrates an exponential convergence rate for scalar stability characteristics, and has a number of advantages.
ISSN:0965-5425
1555-6662
0041-5553
DOI:10.1134/S096554252470180X
Fuente:ABI/INFORM Global