A linear model of a wave packet in a laminar Ekman boundary layer is proposed for tracing the development of an initially localized pulsed perturbation at the boundary. The model disturbance was built up from a linear...
A linear model of a wave packet in a laminar Ekman boundary layer is proposed for tracing the development of an initially localized pulsed perturbation at the boundary. The model disturbance was built up from a linear combination of growing modes summed numerically over all wavenumbers and frequencies. The input spectrum was assumed to be flat so that there was no biasing at any wavenumber or frequency and the evolution was calculated on the basis of linear-stability theory. The wave packet generated by the summation of modes developed uniformly downstream of the disturbance source location and, depending upon the choice of the Reynolds number, vividly displayed results representative of the different kinds of instabilities that are present in the Ekman layer. Outputs in the form of perspective plots are given in order to explain the evolution of the packet into either a single wave patch or a sum of individual wave patches.
The finite element and spectral methods are applied to two-dimensional bound state problems. A comparison of the spectral method, which requires a global basis set expansion of the wave functions, and the finite eleme...
It has been observed by Miura that the solutions of the modified Korteweg-deVries equation can be mapped into those of the Korteweg-deVries equation. In this note we show that all of the solutions of the former, decay...
Concentration profiles in multicomponent and multistage separation systems can be computed by using a continuous or a stagewise model. The numerical calculations are iterative, and fast convergence is achieved when Po...
Concentration profiles in multicomponent and multistage separation systems can be computed by using a continuous or a stagewise model. The numerical calculations are iterative, and fast convergence is achieved when Powell's conjugate gradient minimization method is used. The procedure developed in the present work was implemented on thermal diffusion separation systems for oxygen and krypton isotopes. Although the technique was developed with special emphasis on isotope separation problems, it is also applicable to other multicomponent and multistage separation processes
The work of O'Malley et al. (1961) and of Levy et al. (1963) is extended to obtain higher-order terms in the energy dependence of elastic-scattering phase shifts that arise from long-range inverse power forces. Th...
The work of O'Malley et al. (1961) and of Levy et al. (1963) is extended to obtain higher-order terms in the energy dependence of elastic-scattering phase shifts that arise from long-range inverse power forces. The expressions, in terms of the coefficients of the long-range inverse power potentials, give useful predictions of higher partial-wave phaseshifts. A further application would be in work on the determination of phaseshifts from scattering data.
A matrix of zeroes and ones is said to have the consecutive ones property if there is a permutation of its rows such that the ones in each column appear consecutively. This paper develops a data structure which may be...
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Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different acc...
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ISBN:
(数字)9783319564364
ISBN:
(纸本)9783319564357;9783030132590
Together, both Volume I and Volume II will greatly benefit mathematical graduate students and researchers interested in mean field games. The authors provide a detailed road map through the book allowing different access points for different readers and building up the level of technical detail. The accessible approach and overview will allow interested researchers in the applied sciences to obtain a clear overview of the state of the art in mean field games.
The articles in this volume cover recent work in the area of flow control from the point of view of both engineers and mathematicians. These writings are especially timely, as they coincide with the emergence of the r...
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ISBN:
(数字)9781461225263
ISBN:
(纸本)9781461275695
The articles in this volume cover recent work in the area of flow control from the point of view of both engineers and mathematicians. These writings are especially timely, as they coincide with the emergence of the role of mathematics and systematic engineering analysis in flow control and optimization. Recently this role has significantly expanded to the point where now sophisticated mathematical and computational tools are being increasingly applied to the control and optimization of fluid flows. These articles document some important work that has gone on to influence the practical, everyday design of flows; moreover, they represent the state of the art in the formulation, analysis, and computation of flow control problems. This volume will be of interest to both applied mathematicians and to engineers.
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