• Comparison of Explicit Method of Solution for CFD Euler Problems using MATLAB® and FORTRAN 77 

      Nordli, Anders Samuelsen; Khawaja, Hassan (Journal article; Peer reviewed, 2019)
      This work presents a comparison of an explicit method of solution for an inviscid compressible fluid mechanics problem using Euler equations for two-dimensional internal flows. The same algorithm was implemented in both FORTRAN 77 and MATLAB®. The algorithm includes Runge‒Kutta time marching scheme with smoothing. Both solvers were initialized in the same manner. In addition, it was ensured that ...
    • A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter–Saxton Equation 

      Christiansen, Thomas; Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne (Journal article; Tidsskriftartikkel; Peer reviewed, 2024-03-02)
      A convergent numerical method for α -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 generalized method of characteristics. The projection step is the only step that introduces any approximation error. It is therefore crucial that its design ensures not only a ...
    • A multi-region and multi-period harvest schedule of the trawl fleet 

      Alizadeh Ashrafi, Tannaz; Ersdal, Anne Mai; Nordli, Anders Samuelsen (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-01-21)
      Under the individual vessel quota regulations, the expected economic return of a multi species fishery is influenced by an array of a multi-component choice such as targeted species, landings per haul, harvesting time and its location. The components of effort allocation decisions are further complicated by changes in the market conditions and the constant movements of fish between spawning and ...
    • Numerical conservative solutions of the Hunter–-Saxton equation 

      Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne (Journal article; Tidsskriftartikkel; Peer reviewed, 2021-01-21)
      In the article a convergent numerical method for conservative solutions of the Hunter–Saxton equation is derived. The method is based on piecewise linear projections, followed by evolution along characteristics where the time step is chosen in order to prevent wave breaking. Convergence is obtained when the time step is proportional to the square root of the spatial step size, which is a milder ...
    • Thermoelastic Investigation of Carbon-Fiber Reinforced Composites using Drop Weight Impact Test 

      Andleeb, Zahra; Malik, Sohail; Khawaja, Hassan; Nordli, Anders Samuelsen; Antonsen, Ståle; Hussain, Ghulam; Moatamedi, Mojtaba (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-12-28)
      Composite materials are becoming more popular in technological applications due to the significant weight savings and strength these materials offer compared to metallic materials. In many of these practical situations, the structures suffer from drop impact loads. Materials and structures significantly change their behavior when submitted to impact loading conditions as compared to quasi-static ...
    • A two-component nonlinear variational wave system 

      Nordli, Anders Samuelsen; Aursand, Peder Kristian (Journal article; Tidsskriftartikkel; Peer reviewed, 2023-11-14)
      We derive a novel two-component generalization of the nonlinear variational wave equation as a model for the director field of a nematic liquid crystal with a variable order parameter. The equation admits classical solutions locally in time. We prove that a special semilinear case is globally well-posed. We show that a particular long time asymptotic expansion around a constant state in a moving ...