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Multiscale modelling and computation of fluid flow

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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/jcph.1997.5682openalex-snapshot
A Multiscale Finite Element Method for Elliptic Problems in Composite Materials and Porous Media
inferredcites →https://doi.org/10.1007/3-540-45467-5_3openalex-snapshot
Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media
inferredcites →https://doi.org/10.1007/978-1-4615-9831-2_19openalex-snapshot
Nonlocal Effects Induced by Homogenization
inferredcites →https://doi.org/10.1007/pl00005409openalex-snapshot
Generalized p-FEM in homogenization
inferredcites →https://doi.org/10.1016/0045-7825(95)00844-9openalex-snapshot
Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
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Cellular automata studies of mixing in chaotic flows
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THE INFLUENCE OF SMALL-SCALE HETEROGENEITY ON AVERAGE RELATIVE PERMEABILITY
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Accurate scale up of two phase flow using renormalization and nonuniform coarsening
inferredcites →https://doi.org/10.1029/2000wr900141openalex-snapshot
Modeling of subgrid effects in coarse‐scale simulations of transport in heterogeneous porous media
inferredcites →https://doi.org/10.1063/1.857955openalex-snapshot
A dynamic subgrid-scale eddy viscosity model
inferredcites →https://doi.org/10.1090/chel/374openalex-snapshot
Asymptotic Analysis for Periodic Structures
inferredcites →https://doi.org/10.1090/s0025-5718-02-01441-2openalex-snapshot
A mixed multiscale finite element method for elliptic problems with oscillating coefficients
inferredcites →https://doi.org/10.1090/s0025-5718-99-01077-7openalex-snapshot
Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
inferredcites →https://doi.org/10.1115/1.3424588openalex-snapshot
Asymptotic Analysis of Periodic Structures
inferredcites →https://doi.org/10.1137/0145046openalex-snapshot
Convection of Microstructure and Related Problems
inferredcites →https://doi.org/10.1137/030600795openalex-snapshot
Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
inferredcites →https://doi.org/10.1137/0731051openalex-snapshot
Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
inferredcites →https://doi.org/10.1137/s0036142900376110openalex-snapshot
Multiscale Asymptotic Analysis and Numerical Simulation for the Second Order Helmholtz Equations with Rapidly Oscillating Coefficients Over General Convex Domains
inferredcites →https://doi.org/10.1137/s0036142997330329openalex-snapshot
Convergence of a Nonconforming Multiscale Finite Element Method
inferredcites →https://doi.org/10.1142/s0218202594000327openalex-snapshot
CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS
inferredcites →https://doi.org/10.1175/1520-0493(1963)091<0099:gcewtp>2.3.co;2openalex-snapshot
GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS
inferredcites →https://doi.org/10.2118/1579-gopenalex-snapshot
Flow in Heterogeneous Porous Media
inferredcites →https://doi.org/10.4208/jcm.v22.n2.p220openalex-snapshot
Homogenization of Incompressible Euler Equations
inferredcites →https://doi.org/10.4310/cms.2003.v1.n1.a8openalex-snapshot
The Heterognous Multiscale Methods

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Acoustic design of porous media with dimensionless numbers: redesign for new applications
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Coupling multiscale finite element method for consolidation analysis of heterogeneous saturated porous media
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Homogenization of transport equations: A simple PDE approach to the Kubo formula
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A multiscale finite element method with embedded strong discontinuity model for the simulation of cohesive cracks in solids
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Deep mechanics prior - for the multiscale finite element method
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A uniform multiscale method for 3D static and dynamic analyses of heterogeneous materials
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Extended multiscale finite element method for small-deflection analysis of thin composite plates with aperiodic microstructure characteristics
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High fidelity FEM based on deep learning for arbitrary composite material structure
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A two-level method for static and dynamic analysis of multilayered composite beam and plate
inferred← citeshttps://doi.org/10.1016/j.ijmultiphaseflow.2007.02.011openalex-snapshot
One-, two-, and three-dimensional solutions for counter-current steady-state two-phase subsurface flow
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Multiscale Mixed Methods with Improved Accuracy: The Role of Oversampling and Smoothing
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Extended multiscale finite element method for large deflection analysis of thin-walled composite structures with complicated microstructure characteristics
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Blueprint for perturbative solution of flow and transport in strongly heterogeneous composite media using fractal and variational multiscale decomposition
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Resolving Singular Forces in Cavity Flow: Multiscale Modeling from Atomic to Millimeter Scales
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Domain information transfer method and its application in quasi-brittle failure analysis
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A NEW MULTISCALE FINITE ELEMENT METHOD FOR MECHANICAL ANALYSIS OF PERIODIC HETEROGENEOUS COSSERAT MATERIALS
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A MULTISCALE COMPUTATIONAL METHOD FOR 2D ELASTOPLASTIC DYNAMIC ANALYSIS OF HETEROGENEOUS MATERIALS
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Extended Multiscale Finite Element Method for Mechanical Analysis of Periodic Lattice Truss Materials
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