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可压可溶两相驱动问题的迎风混合元方法 被引量:1

An Upwind-mixed Finite Element Method for Compressible Miscible Displacement
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摘要 研究迎风混合元方法求解多孔介质中含弥散的可压缩可混溶两相渗流驱动问题,利用变分形式和先验估计的理论技巧,得到饱和度近似的L2模和压力近似的H1模最优阶误差估计,数值实验证实该方法在克服数值扩散和非物理振荡方面是很有效的. Consider an upwind-mixed finite element method for computing the two-phase compressible miscible displacement with dispersion in porous media. Optimal-order error estimates for concentration approximation in L^2 and pressure approximation in H^1 are derived. Numerical experiment proves the method is effective for avoiding numerical diffusion and nonphysical oscillations.
作者 王焕 袁益让
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第1期45-56,共12页 Acta Mathematica Scientia
基金 国家重点基础研究项目(G1999030803) 国家自然科学基金(10271066 19972023)资助
关键词 两相驱动 迎风混合元方法 误差估计 弥散 Two-phase displacement Upwind-mixed finite element method Error estimates Dispersion.
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