Search Results - "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

Authors: David M. Ambrose

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

Subject Terms: 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

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Access 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

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

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

Subject Terms: 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

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Access URL: http://arxiv.org/abs/2311.17708

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

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

Source: Journal of Fluid Mechanics. 987

Subject Terms: 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

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

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

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

Subject Terms: 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

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On vortex-sheet evolution beyond singularity formation

Authors: D.I. Pullin N. Shen

Source: Journal of Fluid Mechanics. 976

Subject Terms: 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

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Access 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

Authors: Yu. V. Vladimirov Vitaly V. Bulatov

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

Subject Terms: 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

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Access 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

Authors: Vladimir E. Zakharov Pavel M. Lushnikov

Source: Water Waves. 3:251-266

Subject Terms: 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

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Access 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

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

Source: Journal of Fluid Mechanics. 954

Subject Terms: 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

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

Water entry of an expanding body with and without splash

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

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

Subject Terms: 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

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Access 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/

Steady translating hollow vortex pair in weakly compressible flow

Authors: Vikas S. Krishnamurthy Stefan G. Llewellyn Smith

Source: Physica D: Nonlinear Phenomena. 457:133943

Subject Terms: Schottky-Klein prime function, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Gas dynamics (general theory), Complex variables methods applied to problems in fluid mechanics, vortex dynamics, Rayleigh-Jansen asymptotic expansion, vortex area perturbation, conformal map

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Splash jet generated by collision of two liquid wedges

Authors: Semenov, YA Wu, GX Oliver, JM

Source: Journal of Fluid Mechanics. 737:132-145

Subject Terms: Ejecta Sheet, Technology, Science & Technology, Physics, Fluids & Plasmas, Flows, Drop Impact, General Fluid Mechanics, Breaking, Mechanics, breakup/coalescence, 01 natural sciences, Entrainment, Breakup/coalescence, Surface-Tension, Physical Sciences, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, general fluid mechanics, Free-Surface Flows, free-surface flows, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, Film

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Access URL: https://discovery.ucl.ac.uk/1419495/1/Semenov_LW6_impact.pdf
https://ui.adsabs.harvard.edu/abs/2013JFM...737..132S/abstract
https://discovery.ucl.ac.uk/id/eprint/1419495/
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/splash-jet-generated-by-collision-of-two-liquid-wedges/1C43DD3B879766208C3455E536A21F02
https://discovery-pp.ucl.ac.uk/id/eprint/1419495/

The nonlinear problem of a gliding body with gravity: The nonlinear problem of a gliding body with~gravity

Authors: Yuriy A. Semenov Guoxiong Wu

Source: Journal of Fluid Mechanics. 727:132-160

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, surface gravity waves, waves/free-surface flows, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, Free-surface potential flows for incompressible inviscid fluids, 02 engineering and technology, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences

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Access URL: https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/abs/nonlinear-problem-of-a-gliding-body-with-gravity/71CFA6CBB31C3FFF13A81CFA63D1D6CB
https://ui.adsabs.harvard.edu/abs/2013JFM...727..132S/abstract

Conformal mappings in the problem of water-waves/floating-bodies interaction: Conformal mappings in the problem of water-waves/floating body interaction

Authors: N. G. Kuznetsov

Source: Journal of Mathematical Sciences. 142:2589-2596

Subject Terms: General theory of conformal mappings, linear water waves, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, method of integral equations, Conformal mappings of special domains, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, Dirichlet integral, 01 natural sciences

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Access URL: https://link.springer.com/content/pdf/10.1007/s10958-007-0146-x.pdf
https://link.springer.com/article/10.1007%2Fs10958-007-0146-x

On truncated Taylor series and the position of their spurious zeros

Authors: Søren Christiansen Per A. Madsen

Source: Applied Numerical Mathematics. 56:91-104

Subject Terms: gravity water waves, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, radius of convergence, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, Power series (including lacunary series) in one complex variable

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Access URL: https://zbmath.org/2244824
https://doi.org/10.1016/j.apnum.2005.02.009
https://www.sciencedirect.com/science/article/abs/pii/S0168927405000607
https://core.ac.uk/display/13699510
https://orbit.dtu.dk/en/publications/on-truncated-taylor-series-and-the-position-of-their-spurious-zeros(3df4a32d-a668-4fa1-b839-62eb346290aa).html
https://orbit.dtu.dk/en/publications/on-truncated-taylor-series-and-the-position-of-their-spurious-zer

On a pair of interacting bubbles in planar Stokes flow

Authors: Saleh Tanveer Giovani L. Vasconcelos Darren Crowdy

Source: Journal of Fluid Mechanics. 541:231-261

Subject Terms: Other numerical methods (fluid mechanics), Liquid-gas two-phase flows, bubbly flows, surface tension, 0103 physical sciences, conformal mappings, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, Stokes and related (Oseen, etc.) flows, elliptical-pore model

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Access URL: http://ui.adsabs.harvard.edu/abs/2005JFM...541..231C/abstract
http://www.journals.cambridge.org/abstract_S0022112005005999
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/on-a-pair-of-interacting-bubbles-in-planar-stokes-flow/392076006159C66084C571BB78B2F2E4

New solutions for capillary waves on curved sheets of fluid

Authors: Blyth, M.G. Vanden-Broeck, J-M.

Source: IMA Journal of Applied Mathematics. 70:588-601

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, 0103 physical sciences, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, 01 natural sciences, free surface flows, series truncation, surface tension

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Access URL: http://discovery.ucl.ac.uk/170815/
https://ueaeprints.uea.ac.uk/id/eprint/19807/
https://academic.oup.com/imamat/article/70/4/588/847936/New-solutions-for-capillary-waves-on-curved-sheets
http://core.ac.uk/display/2768355
https://ui.adsabs.harvard.edu/abs/2005JApMa..70..588B/abstract

Vortices near barriers with multiple gaps

Authors: Johnson, ER McDonald, NR

Source: Journal of Fluid Mechanics. 531:335-358

Subject Terms: ISLAND, contour surgery, FLOW-THROUGH RIDGES, MOTION, conformal mapping, CIRCULATION, Vortex flows for incompressible inviscid fluids, 01 natural sciences, CONTOUR DYNAMICS, POINT VORTICES, 2 DIMENSIONS, OCEAN, vortex patch, line vortex, 0103 physical sciences, VORTEX LATTICES, Complex variables methods applied to problems in fluid mechanics, ROSSBY WAVES, 0105 earth and related environmental sciences

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Access URL: https://discovery.ucl.ac.uk/13786/1/13786.pdf
http://ui.adsabs.harvard.edu/abs/2005JFM...531..335J/abstract
https://discovery.ucl.ac.uk/13786/
https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/vortices-near-barriers-with-multiple-gaps/F3C5FA130F9020F7C1423F9F51956B13
http://journals.cambridge.org/abstract_S0022112005003976
https://discovery-pp.ucl.ac.uk/id/eprint/13786/

A computational method for solving the branched channel flow problem

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

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

Subject Terms: 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

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Access 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

Charge simulation method for two-dimensional compressible fluid flow

Authors: Hidenori Ogata

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

Subject Terms: \(M^2\)-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

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

Exact Solutions for the Evolution of a Bubble in Stokes Flow: A Cauchy Transform Approach: Exact solutions for the evolution of a bubble in Stokes flow: A Cauchy transform approach

Authors: Darren Crowdy Michael Siegel

Source: SIAM Journal on Applied Mathematics. 65:941-963

Subject Terms: conformal mapping, free surface evolution, Conformal mappings of special domains, 0101 mathematics, Complex variables methods applied to problems in fluid mechanics, Other free boundary flows, Hele-Shaw flows, 01 natural sciences, Stokes and related (Oseen, etc.) flows

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