Numerical upscaling for heterogeneous materials in fractured domains

Upscaling of Permeability Field of Fractured Rock System: Numerical Examples

When the permeability field of a given porous medium domain is heterogeneous by the existence of randomly distributed fractures such that numerical investigation becomes cumbersome, another level of upscaling may be required. That is such complex permeability field could be relaxed i.e., smoothed by constructing an effective permeability field. The effective permeability field is an approximati...

Fast numerical upscaling of heat equation for fibrous materials

We are interested in numerical methods for computing the effective heat conductivity of fibrous insulation materials, such as glass or mineral wool, characterized by low solid volume fractions and high contrasts, i.e. high ratios between the thermal conductivities of the fibers and the surrounding air. We consider a fast numerical method for solving some auxiliary cell problems appearing in thi...

Heterogeneity Preserving Upscaling for Heat Transport in Fractured Geothermal Reservoirs

In simulation of fluid injection in fractured geothermal reservoirs, the characteristics of the physical processes are severely affected by the local occurence of connected fractures. To resolve these structurally dominated processes, there is a need to develop discretization strategies that also limit computational effort. In this paper we present an upscaling methodology for geothermal heat t...

A dynamic lattice model for heterogeneous materials

In this paper, the mechanical behavior of three-phase inhomogeneous materials is modeled using the meso-scale model with lattice beams for static and dynamic analyses. The Timoshenko beam theory is applied instead of the classical Euler-Bernoulli beam theory and the mechanical properties of lattice beam connection are derived based on the continuum medium using the non-local continuum theory. T...

Numerical framework for mesoscale simulation of heterogeneous energetic materials