Search Results - Asymptotic methods, singular perturbations applied to problems in fluid mechanics

Asymptotic - Numerical Method for Third-Order Singular Perturbation Problems by K. Phaneendra, Y. N. Reddy, GBSL. Soujanya

“… This problem is solved efficiently by using fitted Numerov method. Linear and non-linear examples are solved to illustrate the method and relative errors with 2 L -norms…”
Get full text

Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous Source Term by Valanarasu, T., Ramanujam, N.

“… First, an asymptotic expansion approximation of the solution of the boundary-value problem is constructed using the basic ideas of the well-known WKB perturbation method…”
Get full text

Asymptotics and an Asymptotic Galerkin Method for Hyperbolic-Parabolic Singular Perturbation Problems by Esham, Jr, Benjamin F.

“…A composite asymptotic expansion including initial layer corrections is developed for treating initial boundary value problems for hyperbolic equations with a small parameter multiplying the second…”
Get full text

A new renormalization method for the asymptotic solution of multiple scale singular perturbation problems by Mudavanhu, Blessing

“…This thesis considers the asymptotic integration of special classes of initial value problems involving a nonlinear regular perturbation scaled by a small parameter > 0…”
Get full text

An asymptotic numerical method for fourth order singular perturbation problems with a discontinuous source term by Shanthi, V., Ramanujam, N.

“… In this method we first find the zero-order asymptotic approximation expansion of the solution of the weakly coupled system…”
Get full text

An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers by Li, Hongliang, Ming, Pingbing

Get full text

Asymptotic Initial-Value Method for Second-Order Singular Perturbation Problems of Reaction-Diffusion Type with Discontinuous SourceTerm by Valanarasu, T, Ramanujam, N

“… First, an asymptotic expansion approximation of the solution of the boundary-value problem is constructed using the basic ideas of the well-known WKB perturbation method…”
Get full text

An asymptotic initial value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term by Valanarasu, T., Ramanujam, N.

“… First, in this method, an asymptotic expansion approximation of the solution of the boundary value problem is constructed using the basic ideas of a well known perturbation method WKB…”
Get full text

The Study of Two Problems in Fluid Mechanics Using Asymptotic and Numerical Methods. Part I. Stationary Perturbations of Couette-Poiseuille Flow: The Flow Development in Long Cavities and Channels. Part II. Unsteady Flow Past a Circular Cylinder in a Rotating Frame by Stocker, Jennifer Rachel

“… All three cases are exact solutions of the Navier-Stokes equations. We first study the problem in the case of plane Poiseuille flow, and are able to explain a previous discrepancy between numerical results and asymptotic theory…”
Get full text

Singular perturbation methods applied to a variational problem in greenhouse climate control by van Henten, E.J., Bontsema, J.

“…The application of singular perturbation methods to a variational problem in greenhouse climate control is demonstrated…”
Get full text

Singular perturbation method applied to the open-loop discrete optimal control problem with two small parameters by KRISHNARAYALU, M. S.

“… A singular perturbation method is developed to obtain approximate solutions composed of an outer series, two initial correction series and two final correction series to recover the lost boundary…”
Get full text

Chien-physics-informed neural networks for solving singularly perturbed boundary-layer problems by Wang, Long, Zhang, Lei, He, Guowei

“…A physics-informed neural network (PINN) is a powerful tool for solving differential equations in solid and fluid mechanics…”
Get full text

Analysis of Hartmann boundary layer peristaltic flow of Jeffrey fluid: Quantitative and qualitative approaches by Yasmeen, Shagufta, Asghar, Saleem, Anjum, Hafiz Junaid, Ehsan, Tayyaba

“…•Asymptotic solution for Hartmann boundary layer peristaltic flow of Jeffrey fluid in a tube…”
Get full text

Renormalization group approach to boundary layer problems by Zhou, Ran, Shi, Shaoyun, Li, Wenlei

“…]. Renormalization group(RG) method in the singular perturbation theory, originally introduced by Chen et al, has been proved to be very practicable in a large number of singular perturbed problems…”
Get full text

Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow by Malek, Rakia, Hassine, Maatoug, Hrizi, Mourad

“…This paper concerns the topological derivatives and its applications for solving shape and topology optimization problems in fluid mechanics…”
Get full text

Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink by Bergeot, Baptiste, Bellizzi, Sergio, Berger, Sébastien

“…•The method is validated using direct numerical integration of the system. This paper investigates a problem of passive mitigation of vibratory instabilities caused by two unstable modes by means of a single nonlinear energy sink (NES…”
Get full text

Efficient algorithms for analyzing the singularly perturbed boundary value problems of fractional order by Sayevand, K., Pichaghchi, K.

“…•In this paper, we extended and introduced a new algorithm based on reduced and boundary layer correction method for singularly perturbed boundary value problems of fractional order…”
Get full text

On approximate solutions to the Euler–Poisson system with boundary layers by Jung, Chang-Yeol, Kwon, Bongsuk, Suzuki, Masahiro

“…•The singular behaviors of the Euler–Poisson solutions are explicitly analyzed.•The numerical examples are also provided…”
Get full text

Multi-point Monin–Obukhov similarity in the convective atmospheric surface layer using matched asymptotic expansions by Tong, Chenning, Ding, Mengjie

“…The multi-point Monin–Obukhov similarity (MMO) was recently proposed (Tong & Nguyen, J. Atmos. Sci., vol. 72, 2015, pp. 4337–4348) to address the issue of…”
Get full text

On Estimation of the Contribution of Secondary Vortex Structures to the Transport of Aerosols in the Atmospheric Boundary Layer by Davydova, M. A., Chkhetiani, O. G., Levashova, N. T., Nechaeva, A. L.

“… Using the methods of perturbation theory, an approximate solution of a stationary spatially periodic singularly perturbed problem of the reaction–diffusion…”
Get full text