• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematics and computers in simulation >Mixed finite element method and the characteristics-mixed finite element method for a slightly compressible miscible displacement problem in porous media
【24h】

Mixed finite element method and the characteristics-mixed finite element method for a slightly compressible miscible displacement problem in porous media

机译：多孔介质中轻度可压缩混溶位移问题的混合有限元法和特征混合有限元法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Single-phase, two-component slightly compressible miscible flow in porous media, is governed by a system of nonlinear partial differential equations. The density of the mixture is related to the pressure and the concentration. An approximate scheme is introduced for this system, which is constructed by two methods. A standard mixed finite element is used for the pressure equation. A characteristic-mixed finite element method is presented for the concentration equation. Characteristic approximation is applied to handle the convection part of the concentration equation, and a lowest order mixed finite element spatial approximation is adopted to deal with the diffusion part. Thus, the scalar unknown concentration and the diffusive flux can be approximated simultaneously. In order to derive the optimal L~2-norm error estimates, a post-processing step is included in the approximation to the scalar unknown concentration. A numerical experiment is presented finally to validate the theoretical analysis.
机译：多孔介质中的单相，两组分轻微可压缩混溶流由非线性偏微分方程组控制。混合物的密度与压力和浓度有关。为此系统引入了一种近似方案，该方案由两种方法构造。标准混合有限元用于压力方程。针对浓度方程，提出了特征混合有限元方法。应用特征近似来处理浓度方程的对流部分，并采用最低阶混合有限元空间近似来处理扩散部分。因此，标量未知浓度和扩散通量可以同时近似。为了得出最佳的L〜2-范数误差估计，在标量未知浓度的近似中包括一个后处理步骤。最后进行了数值实验以验证理论分析。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号