Computational methods for fluid flow, heat transfer, and microfluidics

该计划的目标是开发流体流动和传热的可靠计算方法，这些方法准确，经济，跨越整个流动范围，并将这些方法应用于包括微流体“芯片实验室”在内的设计周期。虽然精度到位，但至少对于中等马赫数，经济，整个范围和设计应用问题需要注意。与迄今为止使用的直接稀疏求解器相比，将研究迭代，共轭梯度，多网格和多块方法在全速度算法中的应用。进一步将马赫范围扩展到高超音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性和稳定性的影响。

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.