Computational methods for fluid flow, heat transfer, and microfluidics

点击翻译按钮获取中文摘要

The objectives of this program are to develop robust computational methods for fluid flow and heat transfer that are accurate, economical, and span the entire range of flow regimes, and to apply these methods in the design cycle for applications including the microfluidic 'lab-on-a-chip'. While the accuracy is in place, at least for moderate Mach numbers, the economy, entire range, and design application issues require attention. In contrast to direct sparse solvers used to date, iterative, conjugate gradient, multigrid and multiblock methods will be examined for application to the all-speed algorithm. To further extend the Mach range into the hypersonic range will require more advanced techniques. These will include the consideration of different linearizations of density and their influence on convergence and stability.