Mathematical modeling of shock waves passing through mesh barriers

prediction of dissolved oxygen through mathematical modeling

water quality aspect with regard to dissolved oxygen was studied for a 24 kilometer stretch of malaprabha river in karnataka state, india. main objective of the research was to simulate the predicted dissolved oxygen depletion due to the waste load allocation in the river with the ambient observed values of dissolved oxygen, and to ascertain the application of mathematical modeling for predicti...

Numerical modeling of shock waves in biomedicine

We have developed a multi-phase compressible fluid solver that can handle shock waves efficiently and accurately. Using a level set formulation to treat sharp interfaces and employing multi-resolution techniques, we can study complex shock-bubble interactions. In this work, shock-induced bubble collapse interactions near a deformable interface are presented as a model for a simplified extracorp...

Illuminating Atherogenesis Through Mathematical Modeling

mathematical modeling of mass transfer through porous asymmetric polymeric membranes

it is several decades that the application of membrane processes for gas separation has become a great concern within industries. among them, the polymeric membranes of different structures have played the most important role. such application has been widely extended to gas separation and due to the necessity of both; prediction of the behavior of these processes and recognition of the effecti...

Mathematical modeling of spreading cortical depression: spiral and reverberating waves

Mathematical models of spreading depression are considered in the form of reactiondiffusion systems in two space dimensions. The systems are solved numerically. In the two component model with potassium and calcium ion concentrations, we demonstrate, using updated parameter values, travelling solitary waves of increased potassium and decreased calcium. These have circular wavefronts emanating f...