• Isogeometric analysis of acoustic scattering 

      Venås, Jon Vegard (Master thesis, 2015)
      Acoustic scattering has been thoroughly analyzed with the use of finite element analysis (FEA). The problem at hand is a coupled fluid-structure interaction problem on an unbounded domain, where an object of elastic material ...
    • Isogeometric Analysis of Acoustic Scattering using Infinite Elements 

      Venås, Jon Vegard; Kvamsdal, Trond; Jenserud, Trond (Journal article; Peer reviewed, 2018)
      Isogeometric analysis (IGA) has proven to be an improvement on the classical finite element method (FEM) in several fields, including structural mechanics and fluid dynamics. In this paper, the performance of IGA coupled ...
    • Isogeometric analysis of acoustic scattering with perfectly matched layers (IGAPML) 

      Venås, Jon Vegard; Kvamsdal, Trond (Peer reviewed; Journal article, 2022)
      The perfectly matched layer (PML) formulation is a prominent way of handling radiation problems in unbounded domain and has gained interest due to its simple implementation in finite element codes. However, its simplicity ...
    • Isogeometric Analysis of Coupled Problems in Porous Media 

      Bekele, Yared Worku (Doctoral theses at NTNU;2016:140, Doctoral thesis, 2016)
      Computational modeling of coupled problems in porous media is essential in various disciplines of science and engineering. The porous media of interest here are soils subjected to different physical processes. In particular, ...
    • Isogeometric analysis of finite deformation nearly incompressible solids 

      Mathisen, Kjell Magne; Okstad, Knut Morten; Kvamsdal, Trond; Raknes, Siv Bente (Peer reviewed; Journal article, 2011)
      This paper addresses the use of isogeometric analysis to solve finite deformationsolid mechanics problems, in which volumetric locking may be encountered. The current workis based on the foundation developed in the project ...
    • Isogeometric analysis of thermoelastic problem 

      Aakre, Siri (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 

      Bekele, Yared Worku; Kyokawa, Hiroyuki; Kvarving, Arne Morten; Kvamsdal, Trond; Nordal, Steinar (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 LR B-splines 

      Johannessen, Kjetil Andre; Kvamsdal, Trond; Dokken, Tor (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: Higher-Order Differential Equations 

      Tjomsland, Mathias Farvolden (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 

      Venås, Jon Vegard; Kvamsdal, Trond (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 

      Engen, Pål Oskar (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 divergence-conforming variational multiscale formulation of incompressible turbulent flows 

      van Opstal, Timo Matteo; Yan, Jinhui; Coley, Christopher; Evans, John Andrew; Kvamsdal, Trond; Bazilevs, Yuri (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 using B-spline Basis Functions: The Poisson Equation and the Biharmonic Equation 

      Solberg, Turid Schoonderbeek (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 ...
    • Isogeometric methods for CFD and FSI-simulation of flow around turbine blades 

      van Opstal, Timo Matteo; Fonn, Eivind; Holdahl, Runar; Kvamsdal, Trond; Kvarving, Arne Morten; Mathisen, Kjell Magne; Nordanger, Knut; Okstad, Knut Morten; Rasheed, Adil; Tabib, Mandar (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 

      Giske, Finn-Idar Grøtta (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 ...
    • Isogeometrisk analyse av Boussinesq ligningene 

      Abdulhaque, Abdullah (Master thesis, 2016)
      In this master thesis, I have solved the Boussinesq equations with Isogeometric Analysis to study heat transfer coupled with air circulation. The Boussinesq equations consist of the Navier-Stokes equations and the ...
    • LES and RANS simulation of onshore Bessaker wind farm: analyzing terrain and wake effects on wind farm performance 

      Tabib, Mandar; Rasheed, Adil; Kvamsdal, Trond (Journal article; Peer reviewed, 2015)
      This work compares the predictive performance of RANS and LES solver in capturing the effect of terrain and wakes on the performance of the Bessaker wind farm. This 25 turbine wind farm is located in a highly complex terrain ...
    • Matrix-Free Conjugate Gradient Methods for Finite Element Simulations on GPUs 

      Refsnæs, Runar Heggelien (Master thesis, 2010)
      A block-structured approach for solving 2-dimensional finite element approximations of the Poisson equation on graphics processing units(GPUs) is developed. Linear triangular elements are used, and a matrix-free version ...
    • Mesh Generation Techniques for Isogeometric Analysis 

      Mothes Hansvold, Kine Aurora (Master thesis, 2015)
      In any method aimed at solving a boundary value problem using isogeometric analysis, it is imperative to find a high quality parameterization of the domain over which the partial differential equation is posed. The ...
    • Mimetic Finite Difference Method on GPU: Application in Reservoir Simulation and Well Modeling 

      Singh, Gagandeep (Master thesis, 2010)
      Heterogeneous and parallel computing systems are increasingly appealing to high-performance computing. Among heterogeneous systems, the GPUs have become an attractive device for compute-intensive problems. Their many-core ...