Lattice Boltzmann Methods for Real Time Simulations of Complex Physics, blood flow

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Complex physics and multi-phase flows with and without heat and mass transfer can be encountered in many industrial, biological, environmental, and geophysical processes; for instance, blood flow in deformable channels. The blood consists of red and white blood cells and platelets. These immiscible particles are deformable and float in a plasma which flows in elastic channels, adding further complexity to the problem. Recently, there has been a growing interest in applying the Lattice Boltzmann method (LBM) to solve flow problems, which has emerged as a powerful technique to tackle physical problems. The LBM is easy to code, and enjoys the flexibility of allowing the inclusion of multi-physics to solve the problems at hand. However, the method is relatively new; much room remains for expanding it, especially in the realm of multi-physics. The main objectives of this proposal are: to understand the physics of complex blood flows in deformable and non-smooth vessel to mimic a real blood flow. Also, to study heat and mass transfer associated with blood flow. More realistic models for blood flow in specific and multiphase flows in general need to develop and solve, which enhance our understanding the physics of blood flow blockage, drug delivery processes and health problems associated with it. It is intended to develop mathematical models for such systems using a unified approach based on discrete method, the LBM. The developed models will be applied to specific problems (blood flow, flows in biological cells, oil and water droplets, etc.). Also, the model will take advantage of the local nature of LBM to utilize multi-processor computers with graphic card to speed real time simulations. The long-term objective is to develop a unified platform to model fluid flow and solid interaction with visual interface, real time simulation. Moreover, lab scale experiments will be performed to validate the developed models. The experimental data and flow visualizations will add to reinforce our understanding of the physics of the complex phenomena under consideration. The project will train several graduate students and prepare them for solving multi-disciplinary, challenging industrial/biological problems.