Topic
Method of matched asymptotic expansions
About: Method of matched asymptotic expansions is a research topic. Over the lifetime, 4233 publications have been published within this topic receiving 73311 citations.
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TL;DR: In this paper, a two-dimensional rectangular profile is considered with the under-bottom clearance assumed to be small compared with structure dimensions and the water depth, and closed asymptotic formulae are obtained for all hydrodynamic coefficients for heave, sway and roll motions.
21 citations
TL;DR: In this article, the case 4 = p + 1 (Case I) was treated extensively, and the case 2 = p+2 (Case II) was discussed in detail.
21 citations
TL;DR: In this article, a study of natural convection flow arising from a steady line thermal source embedded at the leading edge of a vertical surface is carried out for moderately large values of Grashof number by the method of matched asymptotic expansions.
21 citations
TL;DR: In this paper, the most important characteristics of the non-local oscillator, an oscillator subjected to an additional nonlocal force, are extensively studied by means of a new asymptotic perturbation method that is able to furnish an approximate solution of weakly nonlinear differential equations.
Abstract: The most important characteristics of the non-local oscillator, an oscillator subjected to an additional non-local force, are extensively studied by means of a new asymptotic perturbation method that is able to furnish an approximate solution of weakly non-linear differential equations. The resulting motion is doubly periodic, because a second little frequency appears, in addition to the fundamental harmonic frequency. Comparison with the numerical solution obtained by the Runge-Kutta method confirms the validity of the asymptotic perturbation method and its importance for the study of non-linear dynamical systems.
21 citations
TL;DR: In this paper, the dynamics of an infinite circular cylindrical shell is considered and the derivation process is based on power series expansions of the displacement components in the radial direction.
21 citations