CAJ | 학술논문

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.
결합구역분렬사상,본문급출료일유불가압축가혼용구동문제량충비중첩구역분렬영풍차분격식.유우포화도적계산규모원대우압력방정,인차포화도방정채용료영풍구역분렬차분법,내변계처화?둔 각자구역분별대응현은격식.재은정성조건하,급출료l2모오차고계,최후급출수치산례험증료이론결과.
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.