Journal article
Discontinuous Galerkin Methods for a Stationary Navier-Stokes Problem with a Nonlinear Slip Boundary Condition of Friction Type
Journal of scientific computing, Vol.76(2), pp.888-912
08/01/2018
DOI: 10.1007/s10915-018-0644-7
Abstract
In this work, several discontinuous Galerkin (DG) methods are introduced and analyzed to solve a variational inequality from the stationary Navier-Stokes equations with a nonlinear slip boundary condition of friction type. Existence, uniqueness and stability of numerical solutions are shown for the DG methods. Error estimates are derived for the velocity in a broken H-1-norm and for the pressure in an L-2-norm, with the optimal convergence order when linear elements for the velocity and piecewise constants for the pressure are used. Numerical results are reported to demonstrate the theoretically predicted convergence orders, as well as the capability in capturing the discontinuity, the ability in handling the shear layers, the capacity in dealing with the advection-dominated problem, and the application to the general polygonal mesh of the DG methods.
Details
- Title: Subtitle
- Discontinuous Galerkin Methods for a Stationary Navier-Stokes Problem with a Nonlinear Slip Boundary Condition of Friction Type
- Creators
- Feifei Jing - Northwestern Polytechnical UniversityWeimin Han - Xi'an Jiaotong UniversityWenjing Yan - Xi'an Jiaotong UniversityFei Wang - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- Journal of scientific computing, Vol.76(2), pp.888-912
- Publisher
- SPRINGER/PLENUM PUBLISHERS
- DOI
- 10.1007/s10915-018-0644-7
- ISSN
- 0885-7474
- eISSN
- 1573-7691
- Number of pages
- 25
- Grant note
- DMS-1521684 / NSF 11371288; 11771350 / NSF of China
- Language
- English
- Date published
- 08/01/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984240761002771
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