Essays about: "Niklas Wik"

Found 2 essays containing the words Niklas Wik.

1. 1. High-performance implementation of H(div)-conforming elements for incompressible flows

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Niklas Wik; [2022]
   Keywords : Finite elements; H div -conforming; incompressible flows; incompressible Navier-Stokes equations; high-performance; matrix-free; Raviart-Thomas;

   Abstract : In this thesis, evaluation of H(div)-conforming finite elements is implemented in a high-performance setting and used to solve the incompressible Navier-Stokes equation, obtaining an exactly point-wise divergence-free velocity field. In particular, the anisotropic Raviart-Thomas tensor-product polynomial space is considered, where the finite element operators are evaluated with quadrature in a matrix-free fashion using sum-factorization on tensor-product meshes. READ MORE

3. 2. Numerical simulations of the Dynamic Beam Equation in discontinuous media

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Niklas Wik; David Niemelä; Valter Wagner Zethrin; [2020]
   Keywords : Dynamic beam equation; DBE; SAT; projection; SBP;

   Abstract : The study examines the Projection method and the simultaneousapproximation-term (SAT) method as boundary treatment for the dynamic beam equation using summation-by-parts (SBP) operators for handling the inner domain. The methods are examined for both the homogeneous constant coefficient case, and the inhomogeneous piecewise constant coefficient case with a coupled interface. READ MORE