Lattice boltzmann modeling hemodynamics, ice accretion and dispersion of radioactive elements

这项研究研究了对人类生命至关重要的真实流体(水、空气、血液)在复杂条件下的表现。我们感兴趣的是了解空气如何在风力涡轮机周围流动，以改进其设计并使其产生更多电力。我们了解污染物如何在附近扩散的能力将使我们能够改进紧急疏散计划。最后，了解血液循环是如何影响冠心病和心脏病的，将有助于改进治疗和挽救生命。为了处理这些复杂的问题，科学家使用计算机模拟。几个复杂的数学微分方程式被转化为大量更简单的代数方程(这称为离散化)，然后用计算机求解。在强大的机器上进行了数小时的计算后，科学家以图像和电影动画的形式分析结果。由于数学方程的离散化一直是一个问题，我们建议使用一种更简单的方法来进行流动模拟，同时验证物理。它是基于想象和计算计算机内部许多微小粒子(一种微型台球)的碰撞。总而言之，这项研究将提供一种简单的基于计算机的方法来研究实际问题，如：静脉和动脉中的血液流动或有害元素在大气中的扩散。这项研究提供了巨大的潜力，将对加拿大人的生活质量产生重大影响。

This research studies how real fluids vital for human life (water, air, blood) behave under complex conditions. We are interested in understanding how air moves around wind turbines to improve its design and make it to produce more electricity. Our ability to understand how a contaminant spreads in a neighborhood will allow us to improve emergency evacuation plans. Finally, an understanding of how blood circulation affects coronary and heart diseases will lead to improved treatments and saved lives.To deal with such complex problems, scientists use computer simulation. The few complex mathematical differential equations are transformed into large number simpler of algebraic equations (this is called discretization) that are then solved using a computer. After many hours of calculations on powerful machines, scientists analyze the results in a form of images and movie animations.As the discretization of the mathematical equations is always a problem, we propose to use a simpler way for flow simulation, yet verifying the physics. It is based on imagining and calculating the collision of many tiny particles (a kind of micro billiard balls) inside a computer. We believe this method will produce better results than currently obtained by the discretization methods.To sum up, this research will provide a simple computer-based way to study practical problems such as: blood flow in veins and arteries or the dispersion of hazardous elements in the atmosphere. This research offers great potential to have a significant impact on the quality of life of the Canadian population.