Browsing NTNU Open by Title
Now showing items 50300-50319 of 100781
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Isogeometric analysis of thermoelastic problem
(Master thesis, 2015)In this thesis there is given an introduction to isogeometric finite element method for uncoupled thermo elastic problems using non uniform rational B-splines (NURBS) as basis functions. The numerical analysis of the ... -
Isogeometric analysis of THM coupled processes in ground freezing
(Journal article; Peer reviewed, 2017)An isogeometric analysis (IGA) based numerical model is presented for simulation of thermo-hydro-mechanically (THM) coupled processes in ground freezing. The momentum, mass and energy conservation equations are derived ... -
Isogeometric Analysis Using Locally Refined B-splines
(Doctoral thesis at NTNU;2014:376, Doctoral thesis, 2014) -
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 analysis with trimmed geometries applied to ship hulls
(Master thesis, 2018)This Paper aims to investigate Trimmed NURBS surfaces for Isogeometric Analysis(IGA). NURBS are Non-Rational B-spline functions which are widely used for geometric modelling in most Computer aided Design programs. This is ... -
Isogeometric Analysis: Higher-Order Differential Equations
(Master thesis, 2013)This thesis introduces Isogeometric Analysis as a potentional bridge between the Finite Element Analysis (FEA) and Computer Aided Design (CAD) communities. An introduction to B-splines and B-spline-based Isogeometric ... -
Isogeometric boundary element method for acoustic scattering by a submarine
(Journal article; Peer reviewed, 2019)Isogeometric analysis with the boundary element method (IGABEM) has recently gained interest. In this paper, the approximability of IGABEM on 3D acoustic scattering problems will be investigated and a new improved BeTSSi ... -
Isogeometric Collocation - Numerical solution of differential equations
(Master thesis, 2016)This thesis present the theory and implementation of Lagrange polynomial interpolation. We study and implement Splines intended on geometric design and interpolation methods. We explore and implement one dimensional numerical ... -
Isogeometric collocation for implicit dynamics of three-dimensional beams undergoing finite motions
(Journal article; Peer reviewed, 2019)We propose a novel approach to the implicit dynamics of shear-deformable geometrically exact beams, based on the isogeometric collocation method combined with the Newmark time integration scheme extended to the rotation ... -
Isogeometric collocation for the Reissner–Mindlin shell problem
(Journal article; Peer reviewed, 2017)We present an isogeometric collocation formulation for the Reissner-Mindlin shell problem. After recalling the necessary basics on differential geometry and the shell governing equations, we show that the standard approach ... -
Isogeometric contact analysis: Implementation of a penalty based algorithm
(Master thesis, 2019)Strukturanalyse av gjensander som kommer i kontakt med hverandre er komplisert. Kontaktproblemer er ofte relatert til store deformasjoner og ettersom kontaktoverflaten ikke er kjent på forhånd, er de uunngåelig ikke-lineære. ... -
Isogeometric divergence-conforming variational multiscale formulation of incompressible turbulent flows
(Journal article, 2016)A new residual-based variational multiscale (RBVMS) formulation for incompressible turbulent flows is proposed that is suitable for discretization using divergence-conforming B-splines. The proposed methodology results in ... -
Isogeometric Finite Element Analysis based on Bézier Extraction of NURBS and T-splines
(Master thesis, 2011)This thesis will give a theoretical overview of B-splines, as well as NURBS and T-splines which are based on B-splines, and also the concept of Bézier decomposition of these spline functions. Bézier decomposition will ... -
Isogeometric Finite Element Analysis based on Bézier Extraction of NURBS and T-Splines
(Master thesis, 2011)Data transmission between finite element analysis (FEA) and computer-aided design (CAD) is ahuge bottle-neck today. Therefore, isogeometric analysis has been introduced with aim to merge these fields. While FEA utilizes ... -
Isogeometric Finite Element Analysis using B-spline Basis Functions: The Poisson Equation and the Biharmonic Equation
(Master thesis, 2013)In this thesis the finite element method with B-spline basis functions was implemented and tested for the Poisson equation and the Biharmonic equation in an isoparametric setting. The equations were solved on a unit square ... -
An isogeometric finite element-boundary element approach for the vibration analysis of submerged thin-walled structures
(Peer reviewed; Journal article, 2021)In this paper, the isogeometric formulations of the finite element and boundary element methods are applied to the dynamic analysis of thin-walled structures submerged in an infinite, inviscid, and incompressible fluid ... -
Isogeometric Kirchhoff-Love shell formulation for elasto-plasticity
(Journal article; Peer reviewed, 2018)An isogeometric thin shell formulation allowing for large-strain plastic deformation is presented. A stress-based approach is adopted, which means that the constitutive equations are evaluated at different integration ... -
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 ... -
Isogeometric Methods for Computational Fluid Dynamics: Divergence-conforming Discretizations for the 2D Stokes Equations
(Master thesis, 2014)In this thesis we look at how boundary value problems for partial differential equations can be solved numerically using B-splines, or more generally NURBS, both to express the geometry of the problem exactly and as a basis ... -
Isogeometric Modeling and Experimental Investigation of Moving-Domain Bridge Aerodynamics
(Journal article; Peer reviewed, 2019)Computational fluid dynamics (CFD) and fluid–structure interaction (FSI) are growing disciplines in the aeroelastic analysis and design of long-span bridges, which, with their bluff body characteristics, offer major ...