Suchergebnisse - Homogenization applied to problems in fluid mechanics

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

“… In this manuscript we prove quantitative homogenization results for the obstacle problem with bounded measurable coefficients …”
Volltext

Asymptotic and numerical homogenization methods applied to fibrous viscoelastic composites using Prony’s series von 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 …”
Volltext

Continuum Percolation in Stochastic Homogenization and the Effective Viscosity Problem von 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 …”
Volltext

On the Homogenization of the Stokes Problem in a Perforated Domain von Hillairet, M.

“… by solving a Stokes–Brinkman problem …”
Volltext

Stochastic Homogenisation of Free-Discontinuity Problems von Cagnetti, Filippo, Dal Maso, Gianni, Scardia, Lucia, Zeppieri, Caterina Ida

“… In this paper we study the stochastic homogenisation of free-discontinuity functionals …”
Volltext

Homogenization of Leray’s Flux Problem for the Steady-State Navier–Stokes Equations in a Multiply-Connected Planar Domain von Patriarca, Clara, Sperone, Gianmarco

“… The steady motion of a viscous incompressible fluid in a multiply-connected, planar, bounded domain …”
Volltext

Homogenization based topology optimization of a coupled thermal fluid-structure problem von Oheneba Agyekum, Godfred, Cangémi, Laurent, Jouve, François

“… This article focuses on the topology optimization of a weakly coupled three physics problem …”
Volltext

Inverse of Divergence and Homogenization of Compressible Navier–Stokes Equations in Randomly Perforated Domains von 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 …”
Volltext

Statistical homogenization of particulate composites within strain gradient elasticity von 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 …”
Volltext

Flow over natural or engineered surfaces: an adjoint homogenization perspective von Bottaro, Alessandro

“… The correct numerical modelling of fluid flowing through and around them is important but poses problems …”
Volltext

Homogenization of Parabolic Equations with Non-self-similar Scales von 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 …”
Volltext

A detailed introduction to density-based topology optimisation of fluid flow problems with implementation in MATLAB von Alexandersen, Joe

“… This article presents a detailed introduction to density-based topology optimisation of fluid flow problems …”
Volltext

Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two von 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 …”
Volltext

Convergence Rates and Fluctuations for the Stokes–Brinkman Equations as Homogenization Limit in Perforated Domains von 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 …”
Volltext

Isogeometric homogenization of unidirectional nanocomposites with energetic surfaces von Du, Xiaoxiao, Chen, Qiang, George, Chatzigeorgiou, Meraghni, Fodil, Wang, Wei, Zhao, Gang

“… The surface-enhanced isogeometric homogenization method was verified …”
Volltext

Quantitative Homogenization of State-Constraint Hamilton–Jacobi Equations on Perforated Domains and Applications von 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 …”
Volltext

Homogenisation Problems for Free Discontinuity Functionals with Bounded Cohesive Surface Terms von 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 …”
Volltext

Homogenization of the Eigenvalues of the Neumann–Poincaré Operator von 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 …”
Volltext

Fourier-Accelerated Nodal Solvers (FANS) for homogenization problems von 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 …”
Volltext

Numerical manifold computational homogenization for hydro-dynamic analysis of discontinuous heterogeneous porous media von 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 …”
Volltext