不可压缩可混溶驱动问题迎风区域分裂差分方法

摘要

Basing on the upwind difference method, we present domain decomposition schemes for 1-Dincompressible miscible flow in porous media with nonoverlapping domain. Since the scaleof solver for the saturation is much larger than that for the pressure, the saturation equationis treated by domain decomposition schemes, which apply an upwind approximation to thefirst derivative and rely on implicit procedures in subdomains and explicit calculation oninter-domain boundaries. Convergence in l2-norm is analyzed under suitable assumptions.Numerical results illustrate the theoretical results and their accuracy.%结合区域分裂思想,本文给出了一维不可压缩可混溶驱动问题两种非重叠区域分裂迎风差分格式.由于饱和度的计算规模远大于压力方程,因此饱和度方程采用了迎风区域分裂差分法,内边界处和?屯r各子区域分别对应显隐格式.在稳定性条件下,给出了l2模误差估计,最后给出数值算例验证了理论结果.