In any flow, layers move at different velocities and a fluid’s viscosity arises from the shear stress between the layers that ultimately oppose any applied force. These shear stresses are communicated via collisions between the particles comprising the fluid, and the typical scale of viscosity is therefore of order the mean free collisional length λ. This scale is usually much smaller than the ...

large amounts of hydrocarbon reserves are trapped in naturally fractured reservoirs which arechallenging in terms of accurate recovery prediction because of their joint fabric complexity andlithological heterogeneity. canada, for example, has over 400 billion barrels of crude oil in fracturedcarbonates in alberta, most of this being bitumen of viscosity greater than 106 cp in the grosmontformat...

Numerical homogenization methods Synonyms multiscale methods for homogenization problems, upscaling methods, representative volume element methods Definition Numerical homogenization methods are techniques for finding numerical solutions of partial differential equations (PDEs) with rapidly oscillating coefficients (multiple scales). In mathematical analysis, homogenization can be defined as a ...

Since hybrid embedded systems are pervasive and often safety-critical, guarantees about their correct performance are desirable. The hybrid systems model checker HyTech provides such guarantees and has successfully veriied some systems. However, HyTech severely restricts the continuous dynamics of the system being analyzed and, therefore, often forces the use of prohibitively expensive discrete...

Meshless or mesh-free (or shorten as MFree) methods have been proposed and achieved remarkable progress over the past few years. The idea of combining MFree methods with other existing numerical techniques such as the finite element method (FEM) and the boundary element method (BEM), is naturally of great interest in many practical applications. However, the shape functions used in some MFree m...