Analysis of the unstable Tollmien–Schlichting mode on bodies with a rounded leading edge using the parabolized stability equation [PDF]
Journal of Fluid Mechanics, 2009 The interaction between free-stream disturbances and the boundary layer on a body with a rounded leading edge is considered in this paper. A method which incorporates calculations using the parabolized stability equation in the Orr–Sommerfeld region, along with an upstream boundary condition derived from asymptotic theory in the vicinity of the leading
Turner, MR, Hammerton, PW
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A family of difference schemes for fourth order parabolic partial differential equations [PDF]
, 1983 A family of methods is developed for the numerical solution of fourth order parabolic partial differential equations in one- and two-space variables.
Khaliq, AQM, Twizell, EH
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Higher order parallel splitting methods for parabolic partial differential equations [PDF]
, 1995 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops two families of numerical methods, based upon new rational approximations to the matrix exponential function, for solving second-order ...
Taj, Malik Shahadat Ali
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Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]
, 1983 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
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Model Test and Back Analysis of Shield Tunnel Load Distribution in Soft Clay
Advances in Materials Science and Engineering, 2021 Combined with the soft clay layer of Foshan metro, a back-analysis method combining model test and numerical simulation is developed. First, the similitude criterion for the model used in this study was derived from similarity theory and elasticity ...
Haoshuang Niu +3 more
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Mathematical modeling of an optimal oncotherapy for malignant tumors [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2021 The paper presents a mathematical model of the optimal treatment for malignant neoplasms. The neoplasm is considered as a distributed parameter object. The scheme for an optimal oncotherapy using a system of partial differential equations of parabolic ...
Igor A. Narkevich +3 more
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Analysis of black hole solutions in parabolic class using neural networks
European Physical Journal C: Particles and Fields, 2023 In this paper, we introduce a numerical method based on Artificial Neural Networks (ANNs) for the analysis of black hole solutions to the Einstein-axion-dilaton system in a high dimensional parabolic class.
Ehsan Hatefi +2 more
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Uniform stress field inside a non-parabolic open inhomogeneity interacting with a mode III crack
Archives of Mechanics, 2021 Using conformal mapping techniques, analytic continuation and the theory of Cauchy singular integral equations, we prove that a non-parabolic open inhomogeneity embedded in an elastic matrix subjected to a uniform remote anti-plane stress nevertheless ...
X. Wang, P. Schiavone
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Journal of Marine Science and Engineering, 2021 Numerous sound propagation models in underwater acoustics are based on the representation of a sound field in the form of a decomposition over normal modes.
Alena Zakharenko +2 more
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Estimating Sound Exposure Levels Due to a Broadband Source over Large Areas of Shallow Sea
Journal of Marine Science and Engineering, 2022 3D sound propagation modeling in the context of acoustic noise monitoring problems is considered. A technique of effective source spectrum reconstruction from a reference single-hydrophone measurement is discussed, and the procedure of simulation of ...
Denis Manul’chev +3 more
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