Mortar method is proposed to form a macroscopic model for a problem with a multiscale conductivity. The macroscopic model is built on the coarse uniform grid quipped for the problem domain. For each uniform grid, artificial neighboring cells are attached to form a model which includes the localized microscale model. For the proposed model, a very fine mesh is introduced to resolve the microscal...

A two-scale model based on a database approach is presented to investigate alloy solidification. Appropriate assumptions are introduced to describe the behavior of macroscopic temperature, macroscopic concentration, liquid volume fraction and microstructure features. These assumptions lead to a macroscale model with two unknown functions: liquid volume fraction and microstructure features. Thes...

A systematic study of the across scale coupling phenomenology in EM scattering problems is addressed using the theory of multiresolution decomposition and orthogonal wavelets. By projecting an integral equation formulation of the scattering problem onto a set of subspaces that constitutes a multiresolution decomposition of L 2 (R), one can derive two coupled formulations. The rst governs the ma...

The framework of the heterogeneous multiscale methods (HMM) is briefly reviewed. Both the original HMM and the seamless HMM are discussed. Applications to interface capturing and flame front tracking are presented. 18.1 The Heterogeneous Multiscale Method The heterogeneous multiscale method (HMM) is a general framework for designing multiscale methods for a wide range of applications [8, 10]. H...

Here we report a thermodynamic analysis of biomolecular interactions using MicroScale Thermophoresis (MST). Using DNA hybridization with fluorescently labeled oligonucleotides as a well-characterized model system, we monitor the shift in the dissociation (Kd) constant of the interaction over a range of temperatures and calculate the free enthalpy (ΔH) and entropy (ΔS) for the hybridization reac...

Providing a clear description of the theory of polydisperse multiphase flows, with emphasis on the mesoscale modeling approach and its relationship with microscale and macroscale models, this all-inclusive introduction is ideal, whether you are working in industry or academia. Theory is linked to practice through discussions of key real-world cases (particle/droplet/bubble coalescence, breakup,...

Lead halide perovskites hold promise for photonic devices, due to their superior optoelectronic properties. However, their use is limited by poor stability and toxicity. We demonstrate enhanced water and light stability of high-surface-area colloidal perovskite nanocrystals by encapsulation of colloidal CsPbBr3 quantum dots into matched hydrophobic macroscale polymeric matrices. This is achieve...