Finite elements in flow problems 2015
نویسندگان
چکیده
منابع مشابه
Finite Elements with Local Projection Stabilization for Incompressible Flow Problems
In this paper we review recent developments in the analysis of finite element methods for incompressible flow problems with local projection stabilization (LPS). These methods preserve the favourable stability and approximation properties of classical residual-based stabilization (RBS) techniques but avoid the strong coupling of velocity and pressure in the stabilization terms. LPS-methods belo...
متن کاملhp - Finite Elements for Elliptic Eigenvalue Problems
Convergence rates for finite element discretisations of elliptic eigenvalue problems in the literature usually are of the form: If the mesh width h is fine enough then the eigenvalues resp. eigenfunctions converge at some well-defined rate. In this paper, we will determine the maximal mesh width h0 — more precisely the minimal dimension of a finite element space — so that the asymptotic converg...
متن کاملStabilized Finite Elements for Elastohydrodynamic Lubrication Problems
In this work, we are mainly interested in modelling a particular lubrication regime known as Elastohydrodynamic (EHD). The pressure generated in the conjunction is high enough to induce a significant elastic deformation of the contacting bodies. Therefore a strong coupling between hydrodynamic and elastic effects is involved. A finite element full-system approach is used to model the lubricant ...
متن کاملAdvances in the use of simplicial Finite Elements for Flow problems
This fact motivated the rise of alternative simulation approaches (Lattice Boltzmann, Finite Differences, Finite Element Embedded approaches), which approximate the shape of the object of interest by the use of local refinement techniques or simply by employing finer discretizations. Within the area of the Finite Element Method (FEM), the challenge its often addressed by the use of tetrahedral ...
متن کاملOn the Validation of the Particle Finite Elements Method (pfem) for Complex Engineering Fluid Flow Problems
The simulation of complex fluid flows involving large variations of the computational domain, constitutes an open challenge using most numerical techniques. The Particle Finite Element Method allows to merge the advantages of the “standard” FEM with the ones of meshless methods and it is naturally well suited to address this category of phenomena [3], [6]. At the current stage it still remains ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2016
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.10.001