Browsing by Subject "Boundary layers"
Now showing items 1-20 of 23
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Boundary layers for self-similar viscous approximations of nonlinear hyperbolic systems
(2013)We provide a precise description of the set of residual boundary conditions generated by the self-similar viscous approximation introduced by Dafermos et al. We then apply our results, valid for both conservative and ...
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Article
A C1-conforming hp finite element method for fourth order singularly perturbed boundary value problems
(2016)We consider a fourth order singularly perturbed boundary value problem (BVP) in one-dimension and the approximation of its solution by the hp version of the Finite Element Method (FEM). The given problem's boundary conditions ...
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Discrete multi-physics simulations of diffusive and convective mass transfer in boundary layers containing motile cilia in lungs
(2018)In this paper, the mass transfer coefficient (permeability) of boundary layers containing motile cilia is investigated by means of discrete multi-physics. The idea is to understand the main mechanisms of mass transport ...
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Efficient treatment of complex geometries for large eddy simulations of turbulent flows
(2004)Incompressible turbulent flow over a backward facing step at Reh=5100 is investigated by large eddy simulations (LES). The ratio of the oncoming boundary layer thickness δ to the step height h was set to 1.2. Additionally ...
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An enriched subspace finite element method for convection-diffusion problems
(2010)We consider a one-dimensional convection-diffusion boundary value problem, whose solution contains a boundary layer at the outflow boundary, and construct a finite element method for its approximation. The finite element ...
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Finite element approximation of convection–diffusion problems using an exponentially graded mesh
(2016)We present the analysis of an h version Finite Element Method for the approximation of the solution to convection–diffusion problems. The method uses piece-wise polynomials of degree p≥1, defined on an exponentially graded ...
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Finite element methods for a singularly perturbed transmission problem
(2009)We consider a one-dimensional singularly perturbed transmission problem with two different diffusion coefficients. The solution will contain boundary layers only in the part of the domain where the diffusion coefficient ...
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An hp finite element method for 4th order singularly perturbed problems
(2016)We present the analysis for the hp finite element approximation of the solution to singularly perturbed fourth order problems, using a balanced norm. In Panaseti et al. (2016) it was shown that the hp version of the Finite ...
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An hp finite element method for a 4th order singularly perturbed boundary value problem in two dimensions
(2017)We consider a fourth order singularly perturbed boundary value problem posed in a square and the approximation of its solution by the hp version of the finite element method on the so-called Spectral Boundary Layer mesh. ...
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Article
The hp finite element method for problems in mechanics with boundary layers
(1998)Boundary layer phenomena are well-known in the study of fluid flow problems. Perhaps less known, but equally ubiquitous, is their existence in thermal, plate and shell analysis, where they also play a very significant role. ...
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Article
The hp finite element method for singularly perturbed systems of reaction-diffusion equations
(2008)We consider the approximation of a coupled system of two singularly perturbed reaction-diffusion equations, with the finite element method. The solution to such problems contains boundary layers which overlap and interact, ...
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Article
hp finite element methods for fourth order singularly perturbed boundary value problems
(2013)We consider fourth order singularly perturbed boundary value problems (BVPs) in one-dimension and the approximation of their solution by the hp version of the Finite Element Method (FEM). If the given problem's boundary ...
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Article
An hp-fem for singularly perturbed transmission problems
(2017)We perform the analysis of the hp finite element approximation for the solution to singularly perturbed transmission problems, using Spectral Boundary Layer Meshes. In [12] it was shown that this method yields robust ...
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Article
The Influence of Crack-Face Normal and Shear Stress Loading on Hydraulic Fracture-Tip Singular Plastic Fields
(2018)We investigated the singular plastic fields at the crack tip of a fracture that is loaded with normal and shear loads due to a viscous flow in a hydraulic fracturing. The level of the expected shear load in comparison with ...
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Large Eddy Simulation of near-bed pipelines in oscillatory flow
(2018)A series of unsteady, three-dimensional numerical simulations of the incompressible, oscillatory flow around a near-bed pipeline is presented. A flow at Reynolds number equal to Reαo=20,000 with respect to the oscillatory ...
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Large-eddy simulation of wave turbulent boundary layer over rippled bed
(2012)Large-eddy simulation (LES) of turbulent boundary layer induced by external oscillatory flow without or with a unidirectional component over rippled bottom is presented. These flows represent prototype turbulent flows of ...
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A note on p/hp finite element methods for reaction-diffusion problems in polygonal domains
(2000)We present guidelines on how to choose the mesh and polynomial degree distribution for the approximation of reaction-diffusion problems in polygonal domains, in the context of the hp finite element method. These guidelines ...
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A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems
(2007)We consider the approximation of singularly perturbed systems of reaction-diffusion problems, with the finite element method. The solution to such problems contains boundary layers which overlap and interact, and the ...
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On the finite element approximation of systems of reaction-diffusion equations by p/hp methods
(2010)We consider the approximation of systems of reaction-diffusion equations, with the finite element method. The highest derivative in each equation is multiplied by a parameter ε∈ G (0,1], and as ε → 0 the solution of the ...
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Robust approximation of singularly perturbed delay differential equations by the hp finite element method
(2013)We consider the finite element approximation of the solution to a singularly perturbed second order differential equation with a constant delay. The boundary value problem can be cast as a singularly perturbed transmission ...