Blar i Institutt for matematiske fag på emneord "Finite element methods"
Viser treff 1-9 av 9
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Adaptive isogeometric finite element analysis of steady-state groundwater flow
(Journal article; Peer reviewed, 2015)Numerical challenges occur in the simulation of groundwater flow problems because of complex boundary conditions, varying material properties, presence of sources or sinks in the flow domain, or a combination of these. In ... -
Divergence-conforming discretization for Stokes problem on locally refined meshes using LR B-splines
(Journal article; Peer reviewed, 2015)To solve the incompressible flow problems using isogeometric analysis, the div-compatible spline spaces were originally introduced by Buffa et al. (2011), and later developed by Evans (2011). In this paper, we extend the ... -
Implementation and comparison of three isogeometric Navier–Stokes solvers applied to simulation of flow past a fixed 2D NACA0012 airfoil at high Reynolds number
(Journal article; Peer reviewed, 2015)Implementation of three different Navier–Stokes solvers in an isogeometric finite element framework is presented in this paper. The three solvers Chorin projection method and Coupled formulation , both with the Spalart–Allmaras ... -
Isogeometric analysis using LR B-splines
(Journal article; Peer reviewed, 2014)The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013) [6] may have the potential to be a framework for isogeometric analysis to enable future interoperable computer aided design and ... -
Isogeometric methods for CFD and FSI-simulation of flow around turbine blades
(Journal article; Peer reviewed, 2015)Coupled fluid-structure interaction simulations of wind turbines have traditionally been considered computationally too expensive to carry out. However, more powerful computers and better solution techniques based on ... -
On the similarities and differences between Classical Hierarchical, Truncated Hierarchical and LR B-splines
(Journal article; Peer reviewed, 2015)Smooth spline functions such as B-splines and NURBS are already an established technology in the field of computer-aided design (CAD) and have in recent years been given a lot of attention from the computer-aided engineering ... -
Simple a posteriori error estimators in adaptive isogeometric analysis
(Journal article; Peer reviewed, 2015)n this article we propose two simple a posteriori error estimators for solving second order elliptic problems using adaptive isogeometric analysis. The idea is based on a Serendipity1pairing of discrete approximation spaces ... -
Simulation of airflow past a 2D NACA0015 airfoil using an isogeometric incompressible Navier-Stokes solver with the Spalart-Allmaras turbulence model
(Journal article; Peer reviewed, 2015)The work presented in this paper concerns the efforts of conducting a computational fluid dynamics (CFD) simulation of air flow past a fixed 2D NACA0015 airfoil at high Reynolds number (Re=2.5×106Re=2.5×106) using an ... -
Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis
(Journal article; Peer reviewed, 2016)Highlights • A posteriori error estimation methodology for adaptive isogeometric analysis using LR B-splines is developed. • Superconvergent patch recovery of gradient field on adaptive meshes is developed. • Algorithm for ...