...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A discontinuous skeletal method for the viscosity-dependent Stokes problem
【24h】

A discontinuous skeletal method for the viscosity-dependent Stokes problem

机译：粘性依赖斯托克斯问题的不连续骨架方法

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

We devise and analyze arbitrary-order nonconforming methods for the discretization of the viscosity-dependent Stokes equations on simplicial meshes. We keep track explicitly of the viscosity and aim at pressure-robust schemes that can deal with the practically relevant case of body forces with large curl-free part in a way that the discrete velocity error is not spoiled by large pressures. The method is inspired from the recent Hybrid High-Order (HHO) methods for linear elasticity. After elimination of the auxiliary variables by static condensation, the linear system to be solved involves only discrete face-based velocities, which are polynomials of degree k >= 0, and cell-wise constant pressures. Our main result is a pressure-independent energy-error estimate on the velocity of order (k + 1). The main ingredient to achieve pressure-independence is the use of a divergence-preserving velocity reconstruction operator in the discretization of the body forces. We also prove an L-2-pressure estimate of order (k + 1) and an L-2-velocity estimate of order (k + 2), the latter under elliptic regularity. The local mass and momentum conservation properties of the discretization are also established. Finally, two- and three-dimensional numerical results are presented to support the analysis. (C) 2016 Elsevier B.V. All rights reserved.
机译：我们设计并分析了任意阶非协调方法，用于简化在简单网格上依赖于粘度的斯托克斯方程的离散化。我们明确地跟踪粘度，并针对稳健的方案，该方案可解决实际相关情况下具有大的无卷曲部分的体力，以使离散速度误差不会被大压力破坏。该方法的灵感来自于最近的线性弹性混合高阶（HHO）方法。在通过静态凝结消除了辅助变量之后，要求解的线性系统仅涉及基于离散面的速度，即k> = 0的多项式以及沿单元方向的恒定压力。我们的主要结果是对阶速度（k + 1）的压力无关的能量误差估计。实现压力独立性的主要因素是在分散体力时使用保留发散速度的重建算子。我们还证明了阶数为（k +1）的L-2压力估计和阶数为（k + 2）的L-2速度估计，后者在椭圆规则性下。还建立了离散化的局部质量和动量守恒性质。最后，提出了二维和三维数值结果以支持分析。 （C）2016 Elsevier B.V.保留所有权利。

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