The three-dimensional, algebraically growing instability of a Blasius boundary layer is studied in the nonlinear regime, employing a nonparallel model based on boundary layer scalings. Adjoint-based optimization is used to determine the “optimal” steady leading-edge excitation that provides the maximum energy growth for a given initial energy. Like in the linear case, the largest transient grow...

Beong In Yun Department of Informatics and Statistics, Kunsan National University, Kunsan 573-701, Republic of korea Correspondence should be addressed to Beong In Yun, [email protected] Received 7 April 2011; Revised 31 May 2011; Accepted 29 June 2011 Academic Editor: Ch Tsitouras Copyright q 2011 Beong In Yun. This is an open access article distributed under the Creative Commons Attribution...

A panel illustrating spinal cord injury in The Dying Lioness in the British Museum dates to 650 BC. This paper outlines the subsequent progression of knowledge of the anatomy of the spinal cord. The animal dissections of Galen are considered because his deductions persisted through the Dark Ages until the late 18th century. Anatomy advanced gradually to yield discoveries of the complex tracts a...

In this paper mathematical techniques have been used for the solution of Blasius differential equation. The method uses optimized artificial neural networks approximation with Sequential Quadratic Programming algorithm and hybrid AST-INP techniques. Numerical treatment of this problem reported in the literature is based on Shooting and Finite Differences Method, while our mathematical approach ...

Abstract We consider Prandtl’s boundary layer problem for incompressible laminar flow past a three dimensional yawed wedge. When the Reynolds number is large the solution of this problem has a parabolic boundary layer. We construct a direct numerical method for computing approximations to the solution of this problem using a compound piecewise-uniform mesh appropriately fitted to the parabolic ...

We have defined and analyzed a semi-Toeplitz preconditioner for timedependent and steady-state convection-diffusion problems. Analytic expressions for the eigenvalues of the preconditioned systems are obtained. An asymptotic analysis shows that the eigenvalue spectrum of the timedependent problem is reduced to two eigenvalues when the number of grid points go to infinity. The numerical experime...

This paper gives localization and nonexistence conditions of periodic orbits in some subsets of the state space. Mainly, our approach is based on high-order extremum conditions, on high-order tangency conditions of a nonsingular solution of a polynomial system with an algebraic surface, and on some ideas related to algebraically-dependent polynomials. Examples of the localization analysis of pe...