Search Results - Complex variables methods applied to problems in fluid mechanics~
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1
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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2
Authors:
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
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3
Authors: Luo Yi-ying
Source: Applied Mathematics and Mechanics. 24:109-116
Subject Terms: 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
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Access 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 -
4
Authors: 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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5
Authors: Kozo Sato
Source: Computer Methods in Applied Mechanics and Engineering. 192:4425-4438
Subject Terms: 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
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6
Authors:
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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7
Authors: Kozo Sato
Source: Computer Methods in Applied Mechanics and Engineering. 192:1421-1433
Subject Terms: 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
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8
Authors:
Source: Engineering Analysis with Boundary Elements. 24:671-684
Subject Terms: 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
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9
Authors:
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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10
Authors:
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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11
Authors:
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 -
12
Authors:
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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13
Authors:
Source: International Journal for Numerical Methods in Engineering. 45:1631-1655
Subject Terms: 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
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Access 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 -
14
Authors:
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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15
Authors: V. N. Monakhov
Source: Siberian Mathematical Journal. 43:504-517
Subject Terms: 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
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16
Authors:
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/ -
17
Authors: V. N. Monakhov
Source: Siberian Mathematical Journal. 41:907-920
Subject Terms: 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
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18
Authors:
Source: European Journal of Mechanics - B/Fluids. 21:283-291
Subject Terms: 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
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Access 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 -
19
Authors:
Source: Journal of Applied Mechanics and Technical Physics. 41:62-68
Subject Terms: 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
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20
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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