Search Results - Homogenization applied to problems in fluid mechanics

Quantitative Homogenization for the Obstacle Problem and Its Free Boundary by Aleksanyan, Gohar, Kuusi, Tuomo

“…In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients…”
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Asymptotic and numerical homogenization methods applied to fibrous viscoelastic composites using Prony’s series by Otero, J. A., Rodríguez-Ramos, R., Guinovart-Díaz, R., Cruz-González, O. L., Sabina, F. J., Berger, H., Böhlke, T.

“… different cell arrangements: square and hexagonal unit cells. For this purpose, we use the two-scale asymptotic homogenization method (AHM…”
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Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem by Duerinckx, Mitia, Gloria, Antoine

“…This contribution is concerned with the effective viscosity problem, that is, the homogenization of the steady Stokes system with a random array of rigid particles, for which the main difficulty…”
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On the Homogenization of the Stokes Problem in a Perforated Domain by Hillairet, M.

“… by solving a Stokes–Brinkman problem…”
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Stochastic Homogenisation of Free-Discontinuity Problems by Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia, Zeppieri, Caterina Ida

“…In this paper we study the stochastic homogenisation of free-discontinuity functionals…”
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Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain by Patriarca, Clara, Sperone, Gianmarco

“…The steady motion of a viscous incompressible fluid in a multiply-connected, planar, bounded domain…”
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Homogenization based topology optimization of a coupled thermal fluid-structure problem by Oheneba Agyekum, Godfred, Cangémi, Laurent, Jouve, François

“…This article focuses on the topology optimization of a weakly coupled three physics problem…”
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Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains by Bella, Peter, Oschmann, Florian

“…We analyze the behavior of weak solutions to compressible viscous fluid flows in a bounded domain in R 3 , randomly perforated by tiny balls with random size…”
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Statistical homogenization of particulate composites within strain gradient elasticity by Nazarenko, Lidiia, Altenbach, Holm

“… strain gradient elasticity theory. The problem of finding the effective constants is reduced to a system of stochastic differential equations based on the fundamental equations of linear elasticity, which are solved by the method…”
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Flow over natural or engineered surfaces: an adjoint homogenization perspective by Bottaro, Alessandro

“… The correct numerical modelling of fluid flowing through and around them is important but poses problems…”
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Homogenization of Parabolic Equations with Non-self-similar Scales by Geng, Jun, Shen, Zhongwei

“… The homogenization problem involves two oscillating scales. We obtain large-scale interior and boundary Lipschitz estimates as well as interior C 1 , α and C 2 , α…”
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A detailed introduction to density-based topology optimisation of fluid flow problems with implementation in MATLAB by Alexandersen, Joe

“…This article presents a detailed introduction to density-based topology optimisation of fluid flow problems…”
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Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two by Bravin, Marco

“…In this paper, we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluids in domains with very tiny holes…”
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Convergence Rates and Fluctuations for the Stokes–Brinkman Equations as Homogenization Limit in Perforated Domains by Höfer, Richard M., Jansen, Jonas

“…We study the homogenization of the Dirichlet problem for the Stokes equations in R 3 perforated by m spherical particles…”
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Isogeometric homogenization of unidirectional nanocomposites with energetic surfaces by Du, Xiaoxiao, Chen, Qiang, George, Chatzigeorgiou, Meraghni, Fodil, Wang, Wei, Zhao, Gang

“… The surface-enhanced isogeometric homogenization method was verified…”
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Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications by Han, Yuxi, Jing, Wenjia, Mitake, Hiroyoshi, Tran, Hung V.

“…We study the periodic homogenization problem of state-constraint Hamilton–Jacobi equations on perforated domains in the convex setting and obtain the optimal convergence rate…”
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Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms by Dal Maso, Gianni, Toader, Rodica

“…We study stochastic homogenisation problems for free discontinuity functionals under a new assumption on the surface terms, motivated by cohesive fracture models…”
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Homogenization of the Eigenvalues of the Neumann–Poincaré Operator by Bonnetier, Éric, Dapogny, Charles, Triki, Faouzi

“… , and its asymptotic behavior as the parameter ε vanishes. Combining techniques pertaining to the fields of homogenization and potential theory, we prove that the limit spectrum is composed of the ‘trivial…”
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Fourier-Accelerated Nodal Solvers (FANS) for homogenization problems by Leuschner, Matthias, Fritzen, Felix

“… A comparative study involving established Fourier-based homogenization schemes is conducted for a thermal benchmark problem with a closed-form solution…”
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Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media by Wu, Wenan, Yang, Yongtao, Zheng, Hong, Zhang, Limei, Zhang, Ning

“…In this paper, a mixed two-scale numerical manifold computational homogenization model is presented for dynamic analysis and wave propagation of the discontinuous heterogeneous porous media based…”
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