Blar i Institutt for matematiske fag på emneord "VDP::Matematikk og naturvitenskap: 400"
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Complexity of operating beyond naïve empiricism when proving a conjectured formula for the general term of a geometrical pattern
(Chapter, 2009)Three student teachers have collaborated on expressing the general term of a geometrical pattern. Their underlying logic of generalisation is naïve empiricism. They are then given the task of proving the conjectured formula. ... -
A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter–Saxton Equation
(Peer reviewed; Journal article, 2024)A convergent numerical method for -dissipative solutions of the Hunter–Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initial data, and then solving exactly using the ... -
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 ... -
Effect of turbulence intensity on the performance of an offshore vertical axis wind turbine
(Journal article; Peer reviewed, 2015)Offshore wind energy is one of the most competitive renewable energy resources available to us, which until now been under- exploited. Most of the problems associated with wind farm installation like land acquisition, low ... -
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 ... -
Investigation of the impact of wakes and stratification on the performance of an onshore wind farm
(Journal article; Peer reviewed, 2015)This work investigates the effects of wakes and stratification on the performance of turbines operating in the Bessaker wind farm. The wind farm is located in a highly complex terrain. Most dominant wind directions recorded ... -
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 ... -
LES and RANS simulation of onshore Bessaker wind farm: analyzing terrain and wake effects on wind farm performance
(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 ... -
Mathematical tasks and the student
(Chapter, 2014)Mathematics Education has at its core a conception of the mathematical performances that represent the aspirations of the mathematics classroom and curriculum. These performances are constituted through teacher and student ... -
Modelling situations involving equal-sized groups
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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 ... -
PoroTwin: A Digital Twin for a FluidFlower Rig
(Peer reviewed; Journal article, 2022)We present a framework for integrated experiments and simulations of tracer transport in heterogeneous porous media using digital twin technology. The physical asset in our setup is a meter-scale FluidFlower rig. The digital ... -
Shortcomings in the milieu for algebraic generalisation arising from task design and vagueness in mathematical discourse
(Chapter, 2013)This paper presents how the milieu for students’ engagement with an algebraic generalisation task is constrained by two factors: first, by the task design; second, by the students’ unawareness of the nature of a mathematical ... -
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 ...