获得宏模型是微混合器设计与仿真的关键。将Navier-Stokes方程和对流扩散方程用有限元方法进行离散化处理,应用Krylov子空间的Arnoldi过程对得到的微分-代数方程组降阶处理,提取出宏模型。仿真结果表明,经过降阶处理得到的宏模型保证了微混合器的输出精度,降低了计算复杂度。
To obtain a macromodel is a key to design and simulate the micromixer. The Navier-Stokes equation and the convection-diffusion equation with finite element method were discretized, and a system of algebraic differential equations was gotten. The macromodel was obtained from the system of algebraic differential equations by Arnoldi process based on the Krylov subspace technique. The simulation result demonstrated the reduced-order macromodel maintains the output accuracy of micromixer and reduces computational complexity.