Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type
Discontinuous Galerkin methods for the incompressible flow with nonlinear leak boundary conditions of friction type
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DOI：
10.1016/j.aml.2017.03.017
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发表时间：
2017-11
期刊：
影响因子：
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通讯作者：
F. Jing;Jian Li;Zhangxin Chen;Wenjing Yan
中科院分区：
文献类型：
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作者：
F. Jing;Jian Li;Zhangxin Chen;Wenjing Yan
本文的目的是采用间断伽辽金（DG）方法来解决具有摩擦型非线性泄漏边界条件的不可压缩流动，由于这种边界条件的亚微分性质，其连续变分问题是一个不等式。推导了相应规范中速度和压力的误差估计，这项工作以数值结果结束，以证明理论上预测的收敛阶数并反映泄漏或非泄漏现象。
This work aims at employing the discontinuous Galerkin (DG) methods for the incompressible flow with nonlinear leak boundary conditions of friction type, whose continuous variational problem is an inequality due to the subdifferential property of such boundary conditions. Error estimates are derived for the velocity and pressure in the corresponding norms, this work ends with numerical results to demonstrate the theoretically predicted convergence orders and reflect the leak or non-leak phenomena.