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, the dual integral equations generated by contact problems for half-spaces and half-planes inhomogeneous with depth were considered, and an approximate method for their solution was proposed.
17 citations
TL;DR: In this article, the application of differential transform method were extended to singularly perturbed Volterra integral equations and the results showed that the method is very effective and convenient for solving a large number of problems with high accuracy.
17 citations
TL;DR: In this paper, the authors used matched asymptotic expansions in the limit of vanishing skin-friction to solve the linearized, two-dimensional flow of an incompressible fully turbulent fluid over a sinusoidal boundary.
Abstract: The linearized, two-dimensional flow of an incompressible fully turbulent fluid over a sinusoidal boundary is solved using the method of matched asymptotic expansions in the limit of vanishing skin-friction. A phenomenological turbulence model due to Saffman (1970, 1974) is utilized to incorporate the effects of the wavy boundary on the turbulence structure. Arbitrary lowest-order wave speed is allowed in order to consider both the stationary wavy wall, and the water wave moving with arbitrary positive or negative velocity. Good agreement is found with measured tangential velocity profiles and surface normal stress coefficients. The phase shift of the surface normal stress exhibits correct qualitative behavior with both positive and negative wave speeds, although predicted values are low.
17 citations
TL;DR: In this paper, a technique for computing asymptotic expansions of combinatorial quantities from their recursion relations is presented, which is applied to the Stirling numbers of the first and second kinds.
Abstract: A technique for computing asymptotic expansions of combinatorial quantities from their recursion relations is presented. It is applied to the Stirling numbers of the first and second kinds, s(n,k) and S(n,k), for n>1 and three ranges of k:(i) k=O(1), (ii) n−k=O(1), (iii) k>1, 0
17 citations