Suchergebnisse - Complex variables methods applied to problems in fluid mechanics

The Velocity Field and Birkhoff–Rott Integral for Nondecaying, Nonperiodic Vortex Sheets: The velocity field and Birkhoff-Rott integral for nondecaying, nonperiodic vortex sheets

Autoren: David M. Ambrose

Quelle: SIAM Journal on Applied Mathematics. 85:456-476

Schlagwörter: quasiperiodic solution, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Mathematics - Analysis of PDEs, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, 76B55, 76B07, 42A50, Physics - Fluid Dynamics, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, Euler equations, singular velocity integral, uniform convergence

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2401.06055
https://zbmath.org/8009633
https://doi.org/10.1137/24m164848x

Exact and Approximate Solutions for Elastic Interactions in a Nematic Liquid Crystal: Exact and approximate solutions for elastic interactions in a nematic liquid crystal

Autoren: Thomas G. J. Chandler Saverio E. Spagnolie

Quelle: SIAM Journal on Applied Mathematics. 84:2476-2501

Schlagwörter: multiply connected domain, global stored elastic energy minimization, conformal mapping, Liquid crystals, Fluid Dynamics (physics.flu-dyn), immersed body, Soft Condensed Matter (cond-mat.soft), FOS: Physical sciences, Physics - Fluid Dynamics, Condensed Matter - Soft Condensed Matter, Complex variables methods applied to problems in fluid mechanics, topological defect, complex director field

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2311.17708

Fluid boundary element method and orthogonal transform of double complex variables

Autoren: Luo Yi-ying

Quelle: Applied Mathematics and Mechanics. 24:109-116

Schlagwörter: Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.), orthogonal double complex variable, boundary element method of fluid, Boundary element methods applied to problems in fluid mechanics, 0103 physical sciences, Conformal mappings of special domains, space of double complex variables, space conformal transform, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, Covering theorems in conformal mapping theory

Dateibeschreibung: application/xml

Zugangs-URL: https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=02534827-200301-24-1-109-116-a
http://www.amm.shu.edu.cn/CN/article/downloadArticleFile.do?attachType=PDF&id=12713
https://www.society.shu.edu.cn/CN/abstract/abstract12713.shtml
https://link.springer.com/article/10.1007%2FBF02439384

Starting vortices generated by an arbitrary solid body with any number of edges

Autoren: Edward M. Hinton A. Leonard D.I. Pullin et al.

Quelle: Journal of Fluid Mechanics. 987

Schlagwörter: semi-infinite flat plate, leading/trailing edge vortex, Joukowski aerofoil, Birkhoff-Rott equation, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, vortex shedding, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, vortex sheet evolution

Dateibeschreibung: application/xml

Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method: Modeling of hydrodynamic dispersion and two-phase flow in the complex variable boundary element method.

Autoren: Kozo Sato

Quelle: Computer Methods in Applied Mechanics and Engineering. 192:4425-4438

Schlagwörter: Three or more component flows, Complex variable, Boundary element methods applied to problems in fluid mechanics, Multi-phase flow, 0207 environmental engineering, Boundary element method, 02 engineering and technology, Dispersion, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2031338
https://doi.org/10.1016/s0045-7825(03)00423-7
http://ui.adsabs.harvard.edu/abs/2003CMAME.192.4425S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782503004237

HYDRODYNAMIC LOADS DURING ACCELERATION OF A CYLINDER UNDER A FREE SURFACE: Hydrodynamic loads during acceleration of a cylinder under a free surface

Autoren: Golikov, A. E. Makarenko, N. I.

Quelle: Journal of Applied Mechanics and Technical Physics. 63:806-815

Schlagwörter: integro-differential equation, 0203 mechanical engineering, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, small-time asymptotic solution, 02 engineering and technology, complex fluid velocity, Complex variables methods applied to problems in fluid mechanics, Euler equations, 01 natural sciences

Dateibeschreibung: application/xml

Complex variable boundary element method for potential flow with thin objects: Complex variable boundary element method for potential flow with thin objects.

Autoren: Kozo Sato

Quelle: Computer Methods in Applied Mechanics and Engineering. 192:1421-1433

Schlagwörter: Boundary element methods applied to problems in fluid mechanics, conformal mapping technique, 0211 other engineering and technologies, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, singular solution, flow barriers, 02 engineering and technology, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, high-conductivity fracture, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1972188
https://doi.org/10.1016/s0045-7825(02)00647-3
https://ui.adsabs.harvard.edu/abs/2003CMAME.192.1421S/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782502006473

Dual boundary element analysis using complex variables for potential problems with or without a degenerate boundary

Autoren: Yung-Wei Chen Jeng-Tzong Chen

Quelle: Engineering Analysis with Boundary Elements. 24:671-684

Schlagwörter: sheet pile, cracked bar, boundary value problems, torsion, Cauchy integral formula, 02 engineering and technology, 01 natural sciences, degenerate boundary, complex variable dual boundary integral equations, potential flow, 0203 mechanical engineering, Classical linear elasticity, Boundary element methods applied to problems in fluid mechanics, Hadamard integral formula, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, Boundary element methods applied to problems in solid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1556272
https://doi.org/10.1016/s0955-7997(00)00025-4
https://www.sciencedirect.com/science/article/pii/S0955799700000254
https://msvlab.hre.ntou.edu.tw/paper/eabe/eabe-07.pdf
http://www.sciencedirect.com/science/article/pii/S0955799700000254

On vortex-sheet evolution beyond singularity formation

Autoren: D.I. Pullin N. Shen

Quelle: Journal of Fluid Mechanics. 976

Schlagwörter: perturbed vortex sheet dynamics, analytic continuation, Birkhoff-Rott equation, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, Taylor series, Vortex flows for incompressible inviscid fluids, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, polylogarithmic function, 01 natural sciences, asymptotic singular solution

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7775000
https://doi.org/10.1017/jfm.2023.880

Analytical Solutions of the Equation Describing Internal Gravity Waves Generated by a Moving Nonlocal Source of Perturbations: Analytical solutions of the equation describing internal gravity waves generated by a moving nonlocal source of perturbations

Autoren: Yu. V. Vladimirov Vitaly V. Bulatov

Quelle: Computational Mathematics and Mathematical Physics. 61:556-563

Schlagwörter: Stratification effects in inviscid fluids, Mittag-Leffler theorem, Internal waves for incompressible inviscid fluids, series solution, wave mode, 0103 physical sciences, meromorphic function, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, stratified medium, 0105 earth and related environmental sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7355591
https://doi.org/10.1134/s0965542521040035
https://link.springer.com/article/10.1134/S0965542521040035

Poles and Branch Cuts in Free Surface Hydrodynamics: Poles and branch cuts in free surface hydrodynamics

Autoren: Vladimir E. Zakharov Pavel M. Lushnikov

Quelle: Water Waves. 3:251-266

Schlagwörter: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Soliton equations, Nonlinear Sciences - Exactly Solvable and Integrable Systems, water wave, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Free-surface potential flows for incompressible inviscid fluids, Physics - Fluid Dynamics, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, 01 natural sciences, analytical continuation, persistent singularity, 0103 physical sciences, complex singularity existence, Exactly Solvable and Integrable Systems (nlin.SI), Complex variables methods applied to problems in fluid mechanics, conformal map

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/1911.11609
http://arxiv.org/abs/1911.11609
https://arxiv.org/pdf/1911.11609
https://arxiv.org/abs/1911.11609
https://par.nsf.gov/biblio/10181346-poles-branch-cuts-free-surface-hydrodynamics
https://link.springer.com/article/10.1007/s42286-020-00040-y
https://www.arxiv-vanity.com/papers/1911.11609/
https://par.nsf.gov/servlets/purl/10181346
http://ui.adsabs.harvard.edu/abs/2021WatWa...3..251L/abstract

The high-speed submerged hydrofoil

Autoren: J.S. Marshall E.R. Johnson

Quelle: Journal of Fluid Mechanics. 954

Schlagwörter: analytical solution, free-surface flow, 0103 physical sciences, Waves/free-surface flows, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, Free-surface potential flows for incompressible inviscid fluids, complex flow potential, large Froude number, 02 engineering and technology, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, complex flow velocity

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7642919
https://doi.org/10.1017/jfm.2022.1042
https://discovery-pp.ucl.ac.uk/id/eprint/10161997/

A complex-variable boundary element approach to fully developed flow and heat transfer in ducts of general cross-section

Autoren: Kenneth E. Torrance Timothy S. Fisher

Quelle: International Journal for Numerical Methods in Engineering. 45:1631-1655

Schlagwörter: quadratic spline interpolation, integral equations, Moody friction factor, Boundary element methods applied to problems in fluid mechanics, Heat and mass transfer, heat flow, Hagenbach entrance region factor, Forced convection, channel flow, Complex variables methods applied to problems in fluid mechanics, complex-variable boundary element method, internal forced convection, Nusselt number

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1357952
https://doi.org/10.1002/(sici)1097-0207(19990820)45:11<1631::aid-nme647>3.0.co;2-3
https://ui.adsabs.harvard.edu/abs/1999IJNME..45.1631F/abstract

A computational method for solving the branched channel flow problem

Autoren: I. A. Ismail Galal Ismail A. M. Sedqi

Quelle: Applied Mathematics and Computation. 161:19-34

Schlagwörter: Poisson's equation, Spectral methods applied to problems in fluid mechanics, spectral solution, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, Schwarz-Christoffel transformation, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://www.sciencedirect.com/science/article/pii/S0096300303012050
https://dblp.uni-trier.de/db/journals/amc/amc161.html#IsmailIS05
https://www.sciencedirect.com/science/article/pii/S0096300303012050
http://dblp.uni-trier.de/db/journals/amc/amc161.html#IsmailIS05

Justification of the Method of Approximation of Solutions to Contact Problems of Filtration Theory: Justification of the method of approximation of solutions to contact problems of filtration theory

Autoren: V. N. Monakhov

Quelle: Siberian Mathematical Journal. 43:504-517

Schlagwörter: filtration, convergence, conformal mapping, Flows in porous media, seepage, Conformal mappings of special domains, error estimate, 0102 computer and information sciences, 0101 mathematics, PDEs in connection with fluid mechanics, Complex variables methods applied to problems in fluid mechanics, approximation, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1899834
https://link.springer.com/article/10.1023/A%3A1015419803877
https://eudml.org/doc/50627

Water entry of an expanding body with and without splash

Autoren: Y. A. Semenov G. X. Wu

Quelle: Journal of Fluid Mechanics. 862:924-950

Schlagwörter: flow-structure interactions, 4. Education, 0103 physical sciences, interfacial flows (free surface), Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, 02 engineering and technology, 0204 chemical engineering, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), 6. Clean water

Dateibeschreibung: application/xml

Zugangs-URL: https://discovery.ucl.ac.uk/10068599/1/Cylindr_final.pdf
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/abs/water-entry-of-an-expanding-body-with-and-without-splash/44215689400FB80FCE71060B6D58E619
https://ui.adsabs.harvard.edu/abs/2019JFM...862..924S/abstract
https://discovery-pp.ucl.ac.uk/id/eprint/10068599/

On a variational method for solving hydrodynamical free boundary problems

Autoren: V. N. Monakhov

Quelle: Siberian Mathematical Journal. 41:907-920

Schlagwörter: filtration, incompressible fluid, conformal mapping, Flows in porous media, seepage, complex plane, Free-surface potential flows for incompressible inviscid fluids, PDEs in connection with fluid mechanics, 01 natural sciences, free boundary, analytic function, polygon, plane stationary potential flows, jet, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1563985
https://doi.org/10.1007/bf02674747
https://link.springer.com/article/10.1007/BF02674747
https://eudml.org/doc/120894
https://link.springer.com/content/pdf/10.1007/BF02674747.pdf

New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface

Autoren: Vladimir E. Zakharov Alexander Dyachenko Oleg Vasilyev

Quelle: European Journal of Mechanics - B/Fluids. 21:283-291

Schlagwörter: potential flows, nonlinear gravity waves, Spectral methods applied to problems in fluid mechanics, two-dimensional fluid, wave breaking, 0103 physical sciences, Fourier transform, free surface, conformal mappings, rogue waves, Free-surface potential flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://math.arizona.edu/~zakharov/papers/pdf/2002_EJMB_ZDV.pdf
https://ui.adsabs.harvard.edu/abs/2002EJMF...21..283Z/abstract
https://arizona.pure.elsevier.com/en/publications/new-method-for-numerical-simulation-of-a-nonstationary-potential-
http://math.arizona.edu/~zakharov/papers/pdf/2002_EJMB_ZDV.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0997754602011895

Postcritical regimes in the nonlinear problem of vortex motion under the free surface of a weighable fluid

Autoren: N. M. Sherykhalina V. P. Zhitnikov O. I. Sherykhalin

Quelle: Journal of Applied Mechanics and Technical Physics. 41:62-68

Schlagwörter: flow around a point vortex, collocation method, method of direct conformal mapping, solution in terms of the Joukowski function, 0103 physical sciences, 02 engineering and technology, Vortex flows for incompressible inviscid fluids, Complex variables methods applied to problems in fluid mechanics, flow of an ideal weighable fluid, 01 natural sciences, 0201 civil engineering

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1534603
https://link.springer.com/article/10.1007/BF02465238
http://ui.adsabs.harvard.edu/abs/2000JAMTP..41...62Z/abstract

Charge simulation method for two-dimensional compressible fluid flow

Autoren: Hidenori Ogata

Quelle: Japan Journal of Industrial and Applied Mathematics. 22:1-20

Schlagwörter: \(M^2\)-expansion method, compressible fluid, 0203 mechanical engineering, subsonic flow, charge simulation method, 02 engineering and technology, Compressible fluids and gas dynamics, 0101 mathematics, General aerodynamics and subsonic flows, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2162984
https://doi.org/10.1007/bf03167473
https://link.springer.com/article/10.1007/BF03167473