Computational methods for fluid flow, heat transfer, and microfluidics

该项目的目标是开发准确、经济且跨越整个流型范围的流体流动和换热的可靠计算方法，并将这些方法应用于包括微流控芯片实验室在内的设计周期。虽然精确度已经到位，但至少对于中等马赫数，经济性、整个航程和设计应用问题都需要注意。与迄今使用的直接稀疏求解器不同，迭代、共轭梯度、多重网格和多块方法将被检查以应用于全速算法。要进一步将马赫范围扩展到高超声速范围，将需要更先进的技术。这将包括考虑密度的不同线性化及其对收敛和稳定性的影响。

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.