Journal ArticleDOI
A posteriori error estimates applied to flow in a channel with corners
TLDR
A posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains are investigated and an incompressible flow problem in a domain with corners that cause singularities in the solution is solved.About:
This article is published in Mathematics and Computers in Simulation.The article was published on 2003-01-30. It has received 16 citations till now. The article focuses on the topics: Adaptive mesh refinement & A priori and a posteriori.read more
Citations
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Journal ArticleDOI
Precise FEM solution of a corner singularity using an adjusted mesh
TL;DR: In this article, the authors present an alternative approach for flow problems on domains with corner singularities, using the a priori error estimates and asymptotic expansion of the solution to derive an algorithm for refining the mesh near the corner.
Book ChapterDOI
Triple Decomposition Method for Vortex Identification in Two-Dimensional and Three-Dimensional Flows
TL;DR: Triple decomposition method (TDM) as discussed by the authors decomposes the local motion of a fluid into straining, shearing and rigid-body rotation, it particularly allows to eliminate the biasing effect of shear.
Journal ArticleDOI
A posteriori error estimates and adaptive mesh refinement for the Stokes–Brinkman problem
TL;DR: A residual-based a posteriori error estimate is presented and used to drive an adaptive mesh refinement process and its effectiveness is demonstrated by numerical experiments in both 2D and 3D.
Numerical solution of the Stokes-Brinkman equation by the usage uf the mixed finite element method
TL;DR: Stokesov-Brinkmanov rovnice as mentioned in this paper využita pro simulaci prouděni skrz různa porezni prostředi s rŽmi okrajovými podminkami.
Journal ArticleDOI
Accuracy of semiGLS stabilization of FEM for solving Navier–Stokes equations and a posteriori error estimates
TL;DR: In this article, a posteriori error estimates for incompressible Navier-Stokes equations are used as the main tool for error analysis and some conclusions concerning accuracy are derived.
References
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Book
Partial Differential Equations
TL;DR: In this paper, the authors present a theory for linear PDEs: Sobolev spaces Second-order elliptic equations Linear evolution equations, Hamilton-Jacobi equations and systems of conservation laws.
Book
Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms
TL;DR: This paper presents the results of an analysis of the "Stream Function-Vorticity-Pressure" Method for the Stokes Problem in Two Dimensions and its applications to Mixed Approximation and Homogeneous Stokes Equations.
Book
Mixed and Hybrid Finite Element Methods
Franco Brezzi,Michel Fortin +1 more
TL;DR: Variational Formulations and Finite Element Methods for Elliptic Problems, Incompressible Materials and Flow Problems, and Other Applications.
Related Papers (5)
Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations II: Goal--Oriented A Posteriori Error Estimation
Ralf Hartmann,Paul Houston +1 more