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DOI

This thesis presents a numerical framework for simulating advection-dominated flows which reconciles the advantages of Eulerian mesh-based schemes with those of a Lagrangian particle-based discretization strategy. Particularly, the strategy proposed in this thesis inherits the diffusion-free properties as in Lagrangian particle-based advection, while simultaneously possessing high-order accuracy and local conservation properties as in state-of-the-art Eulerian mesh-based discretization strategies. These properties render the scheme particularly apt for simulating flow- and transport processes in which the physical diffusion is low, such as turbulent flows, or simulating flow problems with sharp and complex-shaped interfaces, such as the air-water interface in breaking ocean waves.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
Supervisors/Advisors
Thesis sponsors
  • Netherlands Organisation for Scientific Research (NWO)
Award date2 Dec 2019
Print ISBNs978-94-6375-581-8
DOIs
Publication statusPublished - 2019

    Research areas

  • Lagrangian-Eulerian, finite element method, Hybridized discontinuous Galerkin, particle-in-cell, PDE-constrained optimization, conservation, Advection-dominated flows, Advection-diffusion, incompressible Navier-Stokes, Multiphase flows

ID: 66581694