非守恒通量后处理以与异质介质中的传输相容
Postprocessing of Non-Conservative Flux for Compatibility with Transport in Heterogeneous Media
AI总结：
本文提出了一种保守通量后处理算法，用于稳态和动态流模型，通过加权L²范数最小化修正得到保守子空间，提升异质介质中的计算精度。
摘要：
本文提出了一种保守通量后处理算法，用于稳态和动态流模型。后处理通量与原始通量具有相同的收敛阶。任意通量近似通过添加一个分段常数修正项投影到保守子空间中，该修正项在加权L²范数下最小化。加权范数的应用在异质介质中比标准L²范数表现更优。我们还研究了不同通量计算对域边界的影响。特别是考虑了连续Galerkin有限元方法求解达西流，并与不连续Galerkin有限元方法耦合以解决对流传输问题。
英文摘要：
A conservative flux postprocessing algorithm is presented for both steady-state and dynamic flow models. The postprocessed flux is shown to have the same convergence order as the original flux. An arbitrary flux approximation is projected into a conservative subspace by adding a piecewise constant correction that is minimized in a weighted $L^2$ norm. The application of a weighted norm appears to yield better results for heterogeneous media than the standard $L^2$ norm which has been considered in earlier works. We also study the effect of different flux calculations on the domain boundary. In particular we consider the continuous Galerkin finite element method for solving Darcy flow and couple it with a discontinuous Galerkin finite element method for an advective transport problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
