Browsing Institutt for matematiske fag by Journals "Computer Methods in Applied Mechanics and Engineering"
Now showing items 1-17 of 17
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A simple embedded discrete fracture-matrix model for a coupled flow and transport problem in prous media
(Journal article; Peer reviewed, 2018)Accurate simulation of fluid flow and transport in fractured porous media is a key challenge in subsurface reservoir engineering. Due to the high ratio between its length and width, fractures can be modeled as lower ... -
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 ... -
Fast divergence-conforming reduced basis methods for steady Navier–Stokes flow
(Journal article; Peer reviewed, 2018)Reduced-basis methods (RB methods or RBMs) form one of the most promising techniques to deliver numerical solutions of parametrized PDEs in real-time with reasonable accuracy. For incompressible flow problems, RBMs based ... -
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 of Acoustic Scattering using Infinite Elements
(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)
(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 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 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 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 ... -
A multimesh finite element method for the Navier–Stokes equations based on projection methods
(Peer reviewed; Journal article, 2020)The multimesh finite element method is a technique for solving partial differential equations on multiple non-matching meshes by enforcing interface conditions using Nitsche’s method. Since the non-matching meshes can ... -
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 ... -
Optimal Quadrature for univariate and tensor product splines
(Journal article; Peer reviewed, 2016)Numerical integration is a core subroutine in many engineering applications, including the finite element method (FEM). Isogeometric analysis is a FEM technology that uses smooth B-spline and NURBS basis functions. ... -
Post-processing and visualization techniques for isogeometric analysis results
(Journal article; Peer reviewed, 2016)Isogeometric Analysis (IGA) introduced in 2005 by Hughes et al. (2005) [1] exploits one mathematical basis representation for computer aided design (CAD), geometry and analysis during the entire engineering process. In ... -
Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media
(Journal article; Peer reviewed, 2016)A conservative flux postprocessing algorithm is presented for both steady-state and dynamic flow models. The postprocessed flux is shown to have the same convergence order as the original flux. An arbitrary flux approximation ... -
Semi-implicit fluid–structure interaction in biomedical applications
(Peer reviewed; Journal article, 2022)Fluid–structure interaction (FSI) incorporates effects of fluid flows on deformable solids and vice versa. Complex biomedical problems in clinical applications continue to challenge numerical algorithms, as incorporating ... -
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 ...