A Consistent and Conservative Diffuse-Domain Lattice Boltzmann Method for Multiphase Flows in Complex Geometries: A consistent and conservative diffuse-domain lattice Boltzmann method for multiphase flows in complex geometries

Authors: Xi Liu, Chengjie Zhan, Ying Chen, Zhenhua Chai, Baochang Shi

Source: SIAM Journal on Scientific Computing. 47:B308-B332

Subject Terms: Compressible Navier-Stokes equations, Three or more component flows, reduction-consistent conservative phase-field method, Taylor expansion, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Computational Physics (physics.comp-ph), Hermite moment-based collision matrix, Cahn-Hilliard equation, matched asymptotic analysis, Particle methods and lattice-gas methods, Navier-Stokes equations, Physics - Computational Physics

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Access URL: http://arxiv.org/abs/2311.10314

Homogenization of Nonlinear Blood Flow in Periodic Networks: The Limit of Small Haematocrit Heterogeneity: Homogenization of nonlinear blood flow in periodic networks: the limit of small haematocrit heterogeneity

Authors: Yaron Ben-Ami, Brian D. Wood, Joe M. Pitt-Francis, Philip K. Maini, Helen M. Byrne

Source: Multiscale Modeling & Simulation. 22:1498-1533

Subject Terms: multiple scale method, Flows in porous media, filtration, seepage, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, pressure gradient, Quantitative Biology - Tissues and Organs, Darcy mode, Condensed Matter - Soft Condensed Matter, Physiological flows, Homogenization in context of PDEs, PDEs in media with periodic structure, effective permeability tensor, microcirculatory two-phase blood flow, Homogenization applied to problems in fluid mechanics, Physics - Biological Physics, 76Z05, 35B27, 76M50, 34B45, 92-08

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Access URL: http://arxiv.org/abs/2401.10932

Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions: Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions

Authors: Liubavin, A., Ni, M., Zhang, Y., Chaikovskii, D.

Source: Differential Equations. 60:1134-1152

Subject Terms: Reaction effects in flows, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, quasilinear equation, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Diffusion, Mathematics - Analysis of PDEs, Reaction-diffusion equations, FOS: Mathematics, solution existence, Mathematics - Numerical Analysis, moving front, initial-boundary value problem, singular perturbation, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2502.02263

Electroosmotic blood flow in tapered arteries with stenosis and aneurysm

Authors: Anandasrinivasan, S., Tamil Selvi, R., Ponalagusamy, R.

Source: Journal of Engineering Mathematics. 151

Subject Terms: Physiological flow, electric potential function, perturbation method, Non-Newtonian fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Magnetohydrodynamics and electrohydrodynamics, Physiological flows, Casson-Williamson fluid, wall shear stress, Debye-Hückel approximation, linearized Poisson-Boltzmann equation

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Access URL: https://zbmath.org/8031381
https://doi.org/10.1007/s10665-025-10431-0

Electromagnetohydrodynamic two-phase flow of immiscible electrolytes through an undulating hydrophobic microchannel

Authors: Rana, Amalendu, Shit, Gopal Chandra, Reza, Motahar, Raja Sekhar, G. P.

Source: Journal of Engineering Mathematics. 151

Subject Terms: Laplace/Poisson equation, perturbation method, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, surface roughness, boundary layer thickness, viscous stress, Magnetohydrodynamics and electrohydrodynamics, Liquid-liquid two component flows, magnetic field, zeta potential jump, Stokes flow, Navier slip condition, Stokes and related (Oseen, etc.) flows

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Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow: Multidimensional stability and transverse bifurcation of hydraulic shocks and roll waves in open channel flow

Authors: Zhao Yang, Kevin Zumbrun

Source: Journal of Mathematical Fluid Mechanics. 27

Subject Terms: inclined shallow-water flow, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Evans-Lopatinsky function, Basic methods in fluid mechanics, explicit/semi-explicit package Clawpack, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Interfacial stability and instability in hydrodynamic stability, high-frequency asymptotic solution, Mathematics - Analysis of PDEs, FOS: Mathematics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, inviscid Saint Venant equations, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2309.08870

Numerical and theoretical analysis of shock wave interactions with abrupt area changes

Authors: Trevor Kickliter, Vishal Acharya, Tim Lieuwen

Source: Journal of Fluid Mechanics. 1007

Subject Terms: asymptotic analysis, quasi-one-dimensional model, second-order finite difference method, perturbation method, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Shock waves and blast waves in fluid mechanics, shock reflection/transmission, Finite difference methods applied to problems in fluid mechanics, Rankine-Hugoniot relation

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Access URL: https://zbmath.org/8020209
https://doi.org/10.1017/jfm.2025.38

Asymptotics of two-dimensional hydroelastic waves: The zero mass, zero bending limit: Asymptotics of two-dimensional hydroelastic waves: the zero mass, zero bending limit

Authors: Shunlian Liu, David M. Ambrose

Source: Journal of Differential Equations. 424:381-420

Subject Terms: hydroelastic waves, vortex sheet, Internal waves for incompressible inviscid fluids, Mathematics - Analysis of PDEs, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, interfacial waves, 35Q35, 35B40, 35Q31, 76B07, 76B45, FOS: Mathematics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2406.13288
https://zbmath.org/7991292
https://doi.org/10.1016/j.jde.2024.12.051

An enthalpy-based model for the physics of ice-crystal icing

Authors: Timothy Peters, Josh Shelton, Hui Tang, Philippe H. Trinh

Contributors: University of St Andrews.School of Mathematics and Statistics

Source: Journal of Fluid Mechanics. 1001

Subject Terms: MCC, Thermodynamics of continua, scaling law, T-NDAS, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Multiphase and multicomponent flows, Physics - Fluid Dynamics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Stefan problems, phase changes, etc, mixed-phase accretion layer model, 13. Climate action, Solidifcation/melting, 0103 physical sciences, solidification, freezing/non-freezing condition, Icing, finite difference method, asymptotic solution

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Access URL: http://arxiv.org/abs/2403.20071
https://hdl.handle.net/10023/31305

A long-wave model for a falling upper convected Maxwell film inside a tube

Authors: Roberto Camassa, H. Reed Ogrosky, Jeffrey Olander

Source: Journal of Fluid Mechanics. 1001

Subject Terms: Plateau-Rayleigh instability, Absolute and convective instability and stability in hydrodynamic stability, linear stability analysis, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, absolute/convective instability, viscoelastic falling film, Viscoelastic fluids, 01 natural sciences, Thin fluid films, Interfacial stability and instability in hydrodynamic stability, asymptotic solution

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A diffusion-based wind turbine wake model

Authors: Karim Ali, Tim Stallard, Pablo Ouro

Source: Ali, K, Stallard, T & Ouro, P 2024, 'A diffusion-based wind turbine wake model', Journal of Fluid Mechanics, vol. 1001, A13. https://doi.org/10.1017/jfm.2024.1077

Subject Terms: Diffusion, analytical solution, Mathematical modeling or simulation for problems pertaining to fluid mechanics, diffusion equation, far-wake expansion, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, linear momentum conservation, 0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Marcum Q-function

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A swimming bacterium in a two-fluid model of a polymer solution

Authors: Sabarish V. Narayanan, Donald L. Koch, Sarah Hormozi

Source: Journal of Fluid Mechanics. 1001

Subject Terms: 0301 basic medicine, 0303 health sciences, entangled polymer solution, Newtonian fluid, Biopropulsion in water and in air, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Condensed Matter - Soft Condensed Matter, Stokes and related (Oseen, etc.) flows, 03 medical and health sciences, slender body theory, Soft Condensed Matter (cond-mat.soft), Liquid-liquid two component flows, Biomechanics, asymptotic solution

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Access URL: http://arxiv.org/abs/2404.03540

Analytic Properties of Solutions to the Equation of Internal Gravity Waves with Flows for Critical Modes of Wave Generation: Analytic properties of solutions to the equation of internal gravity waves with flows for critical modes of wave generation

Authors: Bulatov, V. V.

Source: Proceedings of the Steklov Institute of Mathematics. 322:65-76

Subject Terms: Stratification effects in inviscid fluids, Internal waves for incompressible inviscid fluids, linear wave, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, incomplete gamma function, buoyancy frequency, Taylor-Goldstein equation, stratified horizontal shear flow, asymptotic solution

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Access URL: https://zbmath.org/7781663
https://doi.org/10.1134/s0081543823040065

Internal Gravity Waves from a Localized Source in Stratified Medium Flow with a Model Buoyancy Frequency Distribution: Internal gravity waves from a localized source in stratified medium flow with a model buoyancy frequency distribution

Authors: Bulatov, V. V., Vladimirov, Yu. V.

Source: Computational Mathematics and Mathematical Physics. 63:1476-1485

Subject Terms: Stratification effects in inviscid fluids, numerical solution, Internal waves for incompressible inviscid fluids, dispersion relation, perturbation source, wave mode, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Basic methods in fluid mechanics, Bessel function, Boussinesq approximation, asymptotic solution

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Access URL: https://zbmath.org/7752277
https://doi.org/10.1134/s0965542523080043

Far Fields Asymptotics of Internal Gravity Waves from a Pulse Localized Source in a Rotating Stratified Medium: Far fields asymptotics of internal gravity waves from a pulse localized source in a rotating stratified medium

Authors: Bulatov, V. V., Vladimirov, I. Yu.

Source: Прикладная математика и механика. 87:432-441

Subject Terms: Stratification effects in inviscid fluids, wave front, Internal waves for incompressible inviscid fluids, amplitude-phase wave structure, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, 0103 physical sciences, nonuniform asymptotic solution, General theory of rotating fluids, Airy function, 01 natural sciences, 0105 earth and related environmental sciences

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Access URL: https://zbmath.org/7872743
https://doi.org/10.1134/s0015462823602152

Boussinesq-type equations of hydroelastic waves in shallow water

Authors: Shanran Tang, Yingfen Xiong, Liangsheng Zhu

Source: Journal of Fluid Mechanics. 985

Subject Terms: Hydrology, hydrography, oceanography, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, nonlinear flexural-gravity wave, zeroth-order/ first-order equations, linear dispersion relation, 01 natural sciences, Solitary waves for incompressible inviscid fluids, Finite difference methods applied to problems in fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), 0103 physical sciences, generalized solitary wave, floating plate, central difference scheme, 0105 earth and related environmental sciences

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Equatorial modons in thermal rotating shallow water model

Authors: Lahaye, Noé, Larroque, Olivier, Zeitlin, Vladimir

Contributors: Lahaye, Noé, Océan Dynamique Observations Analyse (ODYSSEY), Université de Rennes (UR)-Institut Français de Recherche pour l'Exploitation de la Mer (IFREMER)-Université de Brest (UBO)-Centre Inria de l'Université de Rennes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-IMT Atlantique (IMT Atlantique), Institut Mines-Télécom Paris (IMT)-Institut Mines-Télécom Paris (IMT), Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Laboratoire de Météorologie Dynamique (UMR 8539) (LMD), Institut national des sciences de l'Univers (INSU - CNRS)-École polytechnique (X), Institut Polytechnique de Paris (IP Paris)-Institut Polytechnique de Paris (IP Paris)-École nationale des ponts et chaussées (ENPC)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Département des Géosciences - ENS-PSL, École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL), Sorbonne Université (SU)

Source: Journal of Fluid Mechanics. 984

Subject Terms: [SDU.OCEAN]Sciences of the Universe [physics]/Ocean, Equatorial Dynamics, Geophysical flows, Atmosphere, [SDU.OCEAN] Sciences of the Universe [physics]/Ocean, Atmosphere, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, equatorial beta-plane model, Diffusive and convective heat and mass transfer, heat flow, eastward-moving vortex-dipole solution, horizontal temperature gradient, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, 13. Climate action, 0103 physical sciences, Vortex dynamics, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], split-explicit fourth-order Runge-Kutta scheme, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], Modons, Galactic and stellar dynamics, asymptotic modon solution, 0105 earth and related environmental sciences

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Access URL: https://hal.science/hal-04589531v1/document
https://doi.org/10.1017/jfm.2024.253
https://hal.science/hal-04589531v1

Nonlinear dynamic pressure beneath waves in water of intermediate depth: Theory and experiment: Nonlinear dynamic pressure beneath waves in water of intermediate depth: theory and experiment

Authors: A.V. Slunyaev, A.V. Kokorina, M. Klein

Source: European Journal of Mechanics - B/Fluids. 94:155-170

Subject Terms: experimental verification, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Internal waves for incompressible inviscid fluids, modulated potential gravity wave, dynamic pressure, nonlinear asymptotic theory, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Free-surface potential flows for incompressible inviscid fluids, Physics - Fluid Dynamics, Experimental work for problems pertaining to fluid mechanics, 01 natural sciences, Geophysics (physics.geo-ph), bottom pressure, Physics - Geophysics, 0103 physical sciences, deep-water Dysthe theory, 0105 earth and related environmental sciences

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Access URL: http://arxiv.org/pdf/2108.06563
http://arxiv.org/abs/2108.06563
https://zbmath.org/7516876
https://doi.org/10.1016/j.euromechflu.2022.02.007

The drag on a rising sphere along the axis in a short rotating cylinder of fluid: revisiting the data and theory

Authors: M. Ungarish

Source: Journal of Fluid Mechanics. 979

Subject Terms: Navier-Stokes equations for incompressible viscous fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, semi-empirical correction, General theory of rotating fluids, 02 engineering and technology, 01 natural sciences, Ekman layer transport, drag formula, angular velocity, 0103 physical sciences, rotating flow, linear thin viscous layer theory, quasi-geostrophic approximation, 0204 chemical engineering, asymptotic solution

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Access URL: https://zbmath.org/7796321
https://doi.org/10.1017/jfm.2023.1093

Principle of fundamental resonance in hypersonic boundary layers: an asymptotic viewpoint

Authors: Runjie Song, Ming Dong, Lei Zhao

Source: Journal of Fluid Mechanics. 978

Subject Terms: Asymptotic methods, singular perturbations applied to problems in fluid mechanics, planar fundamental mode, large-Reynolds-number asymptotic solution, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, 01 natural sciences, Transition to turbulence, 0103 physical sciences, Boundary-layer theory for compressible fluids and gas dynamics, boundary layer stability, oblique/fundamental mode interaction, Hypersonic flows, Nonlinear effects in hydrodynamic stability, transition to turbulence, Parallel shear flows in hydrodynamic stability

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Access URL: http://arxiv.org/abs/2312.03247