Analytic and Numerical Solutions of a Nonlinear Boundary‐Layer Problem | Zendy

Ierley Glenn R. | Zendy; Ruehr Otto G. | Zendy

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Analytic and Numerical Solutions of a Nonlinear Boundary‐Layer Problem

Author(s) -

Ierley Glenn R.,

Ruehr Otto G.

Publication year - 1986

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm19867511

Subject(s) - mathematics , singular perturbation , nonlinear system , computation , parametrization (atmospheric modeling) , mathematical analysis , asymptotic expansion , boundary layer , perturbation (astronomy) , boundary value problem , boundary (topology) , physics , mechanics , algorithm , quantum mechanics , radiative transfer

Solutions of a viscoinertial western‐boundary‐layer problem arising in physical oceanography are discussed for both no‐slip and stress‐free boundary conditions. A fairly complete characterization of the behavior of the solutions in a number of regimes is presented using the techniques of regular perturbation expansion, matched asymptotic expansion, and rescaling of both regular and singular solutions. A comparison with the actual solutions found by extensive numerical computations is given. Parametrization of solutions in terms of the unknown first (or second) derivative at the origin, for which a useful analytic approximation is developed, provides a convenient characterization of the entire family.

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