Search Results - Homogenization applied to problems in fluid mechanics

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 et al.

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

An ergodic theorem with weights and applications to random measures, homogenization and hydrodynamics

Authors: Alessandra Faggionato

Source: Stochastic Processes and their Applications. 180:104522

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, quenched hydrodynamic limit, Homogenization applied to problems in fluid mechanics, stochastic homogenization, Dynamical aspects of measure-preserving transformations, Stochastic analysis applied to problems in fluid mechanics, multidimensional ergodic theorem, Processes in random environments, Point processes (e.g., Poisson, Cox, Hawkes processes), ergodic theorems, random measures, stochastic homogenization

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Access URL: https://zbmath.org/7962236
https://doi.org/10.1016/j.spa.2024.104522
https://hdl.handle.net/11573/1746255

Homogenization of a fluid problem with a free boundary

Authors: Ben Schweizer

Source: Communications on Pure and Applied Mathematics. 53:1118-1152

Subject Terms: Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, homogenization, two-scale convergence, Stokes equation, Homogenization in context of PDEs, PDEs in media with periodic structure, Stokes and related (Oseen, etc.) flows, free boundary problem

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Access URL: http://onlinelibrary.wiley.com/doi/10.1002/1097-0312(200009)53:9%3C1118::AID-CPA3%3E3.0.CO;2-J/pdf

Complementary finite element methods applied to the numerical homogenization of 3D absolute permeability: Complementary finite element methods applied to the numerical homogenization of 3D absolute permeability.

Authors: Anna Trykozko Wouter Zijl

Source: Communications in Numerical Methods in Engineering. 18:31-41

Subject Terms: conformal-nodal elements, Homogenization applied to problems in fluid mechanics, homogenization, 0207 environmental engineering, mixed-hybrid elements, 02 engineering and technology, absolute permeability, Darcy's law, 6. Clean water, Finite element methods applied to problems in fluid mechanics, complementarity

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Access URL: https://onlinelibrary.wiley.com/doi/10.1002/cnm.462

Homogenization of the fluid flow and heat transfer in transpiration cooled multi-layer plates

Authors: Gottfried Laschet

Source: Journal of Computational and Applied Mathematics. 168:277-288

Subject Terms: Incompressible viscous fluids, Homogenization, Computational Mathematics, Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, Applied Mathematics, 0103 physical sciences, Porous media, Permeabilities, 01 natural sciences, Homogenization for problems in thermodynamics and heat transfer

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Access URL: https://zbmath.org/2091465
https://doi.org/10.1016/j.cam.2003.06.011
https://core.ac.uk/display/82245045
http://www.sciencedirect.com/science/article/pii/S0377042703009877
https://dl.acm.org/doi/10.1016/j.cam.2003.06.011
https://ui.adsabs.harvard.edu/abs/2004JCoAM.168..277L/abstract
https://www.sciencedirect.com/science/article/pii/S0377042703009877

A mixing procedure of two viscous fluids using some homogenization tools

Authors: Conca, C. Baffico, L.

Source: Computer Methods in Applied Mechanics and Engineering
Artículos CONICYT
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Agencia Nacional de Investigación y Desarrollo

Subject Terms: convergence, Homogenization applied to problems in fluid mechanics, Stratification effects in viscous fluids, mixing procedure, two homogeneous viscous fluids, homogenization, compactness, rapidly oscillating interface, 0101 mathematics, 01 natural sciences

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Access URL: https://ui.adsabs.harvard.edu/abs/2001CMAME.190.4245B/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0045782500003169
http://hdl.handle.net/10533/245970
https://repositorio-qa.anid.cl/handle/10533/245970
https://hdl.handle.net/10533/245970

Homogenization of High-Conductivity Periodic Problems: Application to a General Distribution of One-Directional Fibers: Homogenization of high-conductivity periodic problems: application to a general distribution of one-directional fibers

Authors: Marc Briane

Source: SIAM Journal on Mathematical Analysis. 35:33-60

Subject Terms: Boundary value problems for second-order elliptic equations, nonlocal effects, Homogenization applied to problems in fluid mechanics, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, Effective constitutive equations in solid mechanics, 01 natural sciences, periodic microstructure, spectrum, periodic spectral problem

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Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics

Authors: Marušić, Sanja Marušić-Paloka, Eduard

Source: Asymptotic Analysis. 23(1):23-58

Subject Terms: potential flow in thin pipe, compactness theorem, Non-Newtonian fluids, non-Newtonian power-law flow in thin pipe, homogenization, degenerate Reynolds equation, two-scale convergence, Homogenization in context of PDEs, PDEs in media with periodic structure, Incompressible viscous fluids, asymptotic analysis, thin domains, lower-dimensional approximation, Homogenization applied to problems in fluid mechanics, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, lower-dimensional approximations, degenerate thin domain

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Access URL: https://www.bib.irb.hr/281656
https://zbmath.org/1485658
https://content.iospress.com/journals/asymptotic-analysis/23/1

Uniform estimates in two periodic homogenization problems

Authors: Ben Schweizer

Source: Communications on Pure and Applied Mathematics. 53:1153-1176

Subject Terms: Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, homogenization, mean-curvature operator, Stokes equation, Homogenization in context of PDEs, PDEs in media with periodic structure, Stokes and related (Oseen, etc.) flows, free boundary problem

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Access URL: https://zbmath.org/1592002
https://doi.org/10.1002/1097-0312(200009)53:9<1153::aid-cpa4>3.0.co;2-r
https://onlinelibrary.wiley.com/doi/10.1002/1097-0312(200009)53:9%3C1153::AID-CPA4%3E3.0.CO;2-R/abstract
http://onlinelibrary.wiley.com/doi/10.1002/1097-0312(200009)53:9%3C1153::AID-CPA4%3E3.0.CO;2-R/abstract

Modelling of a fluid: homogenization and mixed scales: Modelling of a fluid: homogenization and mixed scales.

Authors: Isabelle Gruais

Source: Comptes Rendus. Mathématique. 337:809-813

Subject Terms: Homogenization applied to problems in fluid mechanics, Brinkman law, Navier-Stokes equations, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

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Access URL: https://zbmath.org/2034231
https://doi.org/10.1016/j.crma.2003.10.016
https://www.sciencedirect.com/science/article/pii/S1631073X03004631

Sensitivity analysis and Taylor expansions in numerical homogenization problems

Authors: Mohammed Jai Gustavo C. Buscaglia

Source: Numerische Mathematik. 85:49-75

Subject Terms: modified compressible Reynolds equation, 0203 mechanical engineering, Homogenization applied to problems in fluid mechanics, periodic roughness, Taylor expansions, 02 engineering and technology, two-scale numerical homogenization, homogenized coefficients, 0101 mathematics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Homogenization in context of PDEs, PDEs in media with periodic structure, rapidly convergent nonlinear algorithms, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/s002110050477

ASYMPTOTIC METHODS FOR MICROPOLAR FLUIDS IN A TUBE STRUCTURE: Asymptotic methods for micropolar fluids in a tube structure.

Authors: Delphine Dupuy Ruxandra Stavre Grigory Panasenko

Source: Mathematical Models and Methods in Applied Sciences. 14:735-758

Subject Terms: partial asymptotic decomposition, Homogenization applied to problems in fluid mechanics, error estimates, Non-Newtonian fluids, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, small parameter, 0101 mathematics, PDEs in connection with fluid mechanics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

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Access URL: https://zbmath.org/2203899
https://doi.org/10.1142/s0218202504003428
https://dialnet.unirioja.es/servlet/articulo?codigo=887065
https://www.worldscientific.com/doi/abs/10.1142/S0218202504003428

Convergence of the Generalized Volume Averaging Method on a Convection-Diffusion Problem: A Spectral Perspective: Convergence of the generalized volume averaging method on a convection-diffusion problem: A spectral perspective

Authors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Contributors: Pierre, Charles Plouraboué, Franck Quintard, Michel et al.

Source: SIAM Journal on Applied Mathematics. 66:122-152

Subject Terms: Spectral methods applied to problems in fluid mechanics, homogenization, Physique mathématique, convection-diffusion, 01 natural sciences, volume averaging, spectral methods, 0103 physical sciences, 0101 mathematics, Convection-diffusion, convection, Homogenization in optics and electromagnetic theory, diffusion, Hilbert space, spectral theory, Volume averaging, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Picard's successive approximation method, Variational formulation, Sturm--Liouville, Homogenization applied to problems in fluid mechanics, Mixed formulation, Sturm-Liouville, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs

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Access URL: https://hal.archives-ouvertes.fr/hal-00158286/file/SIAM_05_recomp.pdf
https://hal.science/hal-00158286v1
https://zbmath.org/2220475
https://doi.org/10.1137/040610015
https://dblp.uni-trier.de/db/journals/siamam/siamam66.html#PierrePQ05
https://www.jstor.org/stable/4096162
https://locus.siam.org/doi/abs/10.1137/040610015
https://oatao.univ-toulouse.fr/5482/4/plouraboue_5482.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1331759
https://oatao.univ-toulouse.fr/5482/
https://oatao.univ-toulouse.fr/5482/

Periodic homogenization for inertial particles

Authors: Pavliotis, G. A. Stuart, A. M.

Source: Physica D: Nonlinear Phenomena. 204:161-187

Subject Terms: Effective diffusivity, Turbulent transport, mixing, Statistical Mechanics (cond-mat.stat-mech), large scale and long time behaviour, Transport processes in time-dependent statistical mechanics, effective diffusivity, hypoellipticity, FOS: Physical sciences, Periodic homogenization, Homogenization in context of PDEs, PDEs in media with periodic structure, inertial particle, 01 natural sciences, multiple scale expansion, Inertial particles, Homogenization applied to problems in fluid mechanics, Hypoellipticity, 0103 physical sciences, Stochastic analysis applied to problems in fluid mechanics, Numerical methods of time-dependent statistical mechanics, periodic homogenization, Condensed Matter - Statistical Mechanics

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Access URL: https://authors.library.caltech.edu/78068/2/0504405.pdf
http://arxiv.org/abs/cond-mat/0504405
https://zbmath.org/2193295
https://doi.org/10.1016/j.physd.2005.04.011
https://arxiv.org/abs/cond-mat/0504405
https://homepages.warwick.ac.uk/~masdr/JOURNALPUBS/stuart64.pdf
http://www2.imperial.ac.uk/~pavl/PavStu05.pdf
http://ui.adsabs.harvard.edu/abs/2005PhyD..204..161P/abstract
http://wwwf.imperial.ac.uk/~pavl/PavStu05.pdf
https://www.sciencedirect.com/science/article/pii/S0167278905001387

On diffusion of a single‐phase, slightly compressible fluid through a randomly fissured medium: On diffusion of a single-phase, slightly compressible fluid through a randomly fissured medium

Authors: Steve Wright

Source: Mathematical Methods in the Applied Sciences. 24:805-825

Subject Terms: Diffusion, stochastic two-scale convergence in the mean, Homogenization applied to problems in fluid mechanics, single-phase compressible fluid, Douglas-Peszyńska-Showalter model, diffusion, Stochastic analysis applied to problems in fluid mechanics, homogenization, Compressible fluids and gas dynamics, 0101 mathematics, randomly fissured medium, 01 natural sciences

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Access URL: https://ui.adsabs.harvard.edu/abs/2001MMAS...24..805W/abstract
http://onlinelibrary.wiley.com/doi/10.1002/mma.243/abstract

Micropolar fluid flow in a thick domain with multiscale oscillating roughness and friction boundary conditions

Authors: Boukrouche, Mahdi Paoli, Laetitia Ziane, Fatima et al.

Contributors: Boukrouche, Mahdi Paoli, Laetitia Ziane, Fatima et al.

Source: Journal of Mathematical Analysis and Applications. 495:124688

Subject Terms: oscillating periodic layer, reiterated periodic homogenisation, Homogenization applied to problems in fluid mechanics, Non-Newtonian fluids, limit effective problem, [MATH]Mathematics [math], Tresca friction law, 0101 mathematics, PDEs in connection with fluid mechanics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, multiscale convergence

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Access URL: https://www.sciencedirect.com/science/article/am/pii/S0022247X20308519
https://www.sciencedirect.com/science/article/pii/S0022247X20308519

Homogenization of a Ginzburg–Landau model for a nematic liquid crystal with inclusions: Homogenization of a Ginzburg-Landau model for a nematic liquid crystal with inclusions

Authors: Cioranescu, Doina Berlyand, Leonid Golovaty, Dmitry et al.

Contributors: Cioranescu, Doina Berlyand, Leonid Golovaty, Dmitry et al.

Source: Journal de Mathématiques Pures et Appliquées. 84:97-136

Subject Terms: homogenization in fluid mechanics, Variational methods for second-order elliptic equations, Mathematics(all), Liquid crystals, Method of mesocharacteristics, Applied Mathematics, homogenization, variational methods, Ginzburg–Landau models, Homogenization in context of PDEs, PDEs in media with periodic structure, Homogenization applied to problems in fluid mechanics, crystals, Homogenization in perforated media, Statistical mechanics of crystals

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Access URL: https://hal.science/hal-00112071v1
https://www.sciencedirect.com/science/article/abs/pii/S002178240400114X#!
https://pennstate.pure.elsevier.com/en/publications/homogenization-of-a-ginzburg-landau-model-for-a-nematic-liquid-cr
https://www.sciencedirect.com/science/article/pii/S002178240400114X

A Homogenization Technique for the Boltzmann Equation for Low Pressure Chemical Vapor Deposition: A homogenization technique for the Boltzmann equation for low pressure chemical vapor deposition

Authors: Matthias K. Gobbert Christian Ringhofer

Source: SIAM Journal on Applied Mathematics. 64:196-215

Subject Terms: Rarefied gas flows, Boltzmann equation in fluid mechanics, Homogenization applied to problems in fluid mechanics, Reaction effects in flows, Nonlinear first-order PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, diffusive boundary condition, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, microstructured surface, 01 natural sciences, Chemical kinetics in thermodynamics and heat transfer

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Access URL: http://userpages.umbc.edu/~gobbert/papers/GobbRingSIAP2003.pdf
https://epubs.siam.org/doi/abs/10.1137/S0036139902393476
https://locus.siam.org/doi/abs/10.1137/S0036139902393476
https://asu.pure.elsevier.com/en/publications/a-homogenization-technique-for-the-boltzmann-equation-for-low-pre
https://dblp.uni-trier.de/db/journals/siamam/siamam64.html#RinghoferG03

Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media: Numerical homogenization of well singularities in the flow transport through heterogeneous porous media

Authors: Zhiming Chen Xinye Yue

Source: Multiscale Modeling & Simulation. 1:260-303

Subject Terms: Other numerical methods (fluid mechanics), Homogenization applied to problems in fluid mechanics, Flows in porous media, filtration, seepage, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences

File Description: application/xml

Access URL: https://dblp.uni-trier.de/db/journals/mmas/mmas1.html#ChenY03
https://epubs.siam.org/doi/abs/10.1137/S1540345902413322

A new numerical scheme for non uniform homogenized problems: Application to the non linear Reynolds compressible equation: A new numerical scheme for non uniform homogenized problems: application to the nonlinear Reynolds compressible equation.

Authors: Buscaglia, Gustavo C. Jai, Mohammed

Source: Mathematical Problems in Engineering. 7:355-378

Subject Terms: Lubrication theory, Other numerical methods (fluid mechanics), 0203 mechanical engineering, Homogenization applied to problems in fluid mechanics, Compressible Reynolds lubrication equation, General Mathematics, General Engineering, Gas dynamics (general theory), Taylor expansions, 02 engineering and technology, Numerical solution of discretized equations for boundary value problems involving PDEs, 0210 nano-technology, Numerical homogenized problems

File Description: application/xml

Access URL: http://downloads.hindawi.com/journals/mpe/2001/563502.pdf
https://zbmath.org/1790998
https://doi.org/10.1155/s1024123x01001685
https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=P20161117002-200112-201612070016-201612070016-355-378
https://eudml.org/doc/53113
https://www.hindawi.com/journals/mpe/2001/563502/
https://downloads.hindawi.com/journals/mpe/2001/563502.pdf
https://www.openaccessrepository.it/record/181032