A new technique for generating coarse scale models of highly heterogeneous subsurface formations is developed and applied. The method uses generic global coarse scale simulations to determine the boundary conditions for the local calculation of upscaled properties (permeability or transmissibility). An iteration procedure assures consistency between the local and global calculations. Transport ...

a. Mathematical upscaling: derivation of coarse-scale equations directly from atomistic equations using Generalized Mathematical Homogenization theory (Fish, Chen, Li, 2007). b. Computational upscaling: reducing the complexity of solving an atomistic problem to a manageable size that can be adapted based on available computational resources. Our model reduction approach is based on the space-ti...

In this thesis we do image sequence upscaling using variational methods. We have developed, implemented and tested the three main elements of the upscaling part of a video processor using variational methods plus a non-variational preprocessing method detecting the scan format of the input video. The three upscalings needed are deinterlacing (DI), which is creating the never recorded every othe...

8 [1] We propose a methodology for upscaling biomass in a 9 river using a combination of dimensional analysis and 10 hydro-geomorphologic scaling laws. We first demonstrate 11 the use of dimensional analysis for determining local scaling 12 relationships between Nostoc biomass and hydrologic and 13 geomorphic variables. We then combine these relationships 14 with hydraulic geometry and streamfl...

We derive a new, effective macroscopic Cahn–Hilliard equation whose homogeneous free energy is represented by fourth-order polynomials, which form the frequently applied double-well potential. This upscaling is done for perforated/strongly heterogeneous domains. To the best knowledge of the authors, this seems to be the first attempt of upscaling the Cahn–Hilliard equation in such domains. The ...

The objective of this workshop was to bring together researchers working in multiscale simulations with emphasis on multigrid methods and multiscale finite element methods, aiming at chieving of better understanding and synergy between these methods. The goal of multiscale finite element methods, as upscaling methods, is to compute coarse scale solutions of the underlying equations as accuratel...

This paper unravels the problem of an idealised pile-up of n infinite, equi-spaced walls of edge dislocations at equilibrium. We define a dimensionless parameter that depends on the geometric, constitutive and loading parameters of the problem, and we identify five different scaling regimes corresponding to different values of that parameter for large n. For each of the cases we perform a rigor...