三维两相渗流驱动问题迎风区域分裂显隐差分法  

DOMAIN DECOMPOSITION EXPLICIT/IMPLICIT DIFFERENCE SCHEMES WITH UPWIND METHOD FOR 3-DIMENSIONAL TWO-PHASE FlOW DISPLACEMENT PROBLEMS

作　　者：李长峰[1] 袁益让[2] 

机构地区：[1]山东大学经济学院 [2]山东大学数学与系统科学学院,济南250100

出　　处：《计算数学》2007年第2期113-136,共24页Mathematica Numerica Sinica

基　　金：国家重点基础研究专项经费(批准号:G1999032803);国家自然科学基金(批准号:10372052;10271066);教育部博士点基金(批准号:20030422047)资助项目.

摘　　要：对三维两相渗流驱动问题提出了两种迎风区域分裂显隐差分格式．压力方程采用了七点差分格式,为了能达到实际并行计算的要求,对饱和度方程采用了迎风区域分裂差分法,内边界处和各子区域分别对应显隐格式．得到了离散l2模收敛性分析,最后给出数值试验,支撑了理论分析结果．Two domain decomposition explicit/implict difference schemes with upwind method are presented for 3-dimensional, two-phase displacement. The pressure equation is discretized by a standard seven-point difference procedure. To com- pute in parallel, the concentration equation is treated by upwind domain decom- position difference schemes, which rely on implicit procedures in subdomains andexplicit calculation on the inter-domain boundaries. And the convergence analysis in discrete l^2-norm is discussed. Finally, numerical examples illustrating the value, accuracy and parallelism are shown.

关 键 词：两计相渗流 区域分裂 并行算 迎风差分 误差估计 

分 类 号：O359[理学—流体力学]