发表机构
Slovak University of Technology in Bratislava（布拉迪斯拉发斯洛伐克理工大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种结合WENO重构和时间限制器的紧致隐式高分辨率有限体积格式，用于带Langmuir吸附的多组分输运问题，实现二阶收敛并允许更大Courant数，成功应用于三组分置换色谱。
AI 中文摘要
我们提出了一种用于具有非线性Langmuir吸附的一维多组分输运问题的紧致隐式高分辨率有限体积格式。该方法将二阶紧致隐式离散与WENO重构以及时间限制器相结合，以处理陡峭梯度和间断。特别关注限制器中使用的Courant数，其中考虑了基于逆阻滞矩阵特征值的局部特征Courant数。将紧致隐式格式与类似的显式一阶和二阶方法进行了比较。数值实验表明，对于光滑解具有二阶收敛性，并证明隐式方法可以使用显著更大的Courant数。该方法还应用于具有尖锐浓度前沿的三组分置换色谱问题。
英文摘要
We present a compact implicit high-resolution finite volume scheme for one-dimensional multicomponent transport problems with nonlinear Langmuir sorption. The method combines a second order compact implicit discretization with WENO reconstruction and a time limiter for the treatment of steep gradients and discontinuities. A special attention is given to the Courant number used in the limiter, where local characteristic Courant numbers based on the eigenvalues of the inverse retardation matrix are considered. The compact implicit schemes are compared with analogous explicit first and second order methods. Numerical experiments show second order convergence for smooth solutions and demonstrate that the implicit approach can be used with significantly larger Courant numbers. The method is also applied to a three-component displacement chromatography problem with sharp concentration fronts.
