When Euler meets Lagrange: Particle-Mesh Modeling of Advection Dominated Flows

Jakob Maljaars

Research output: ThesisDissertation (TU Delft)

85 Downloads (Pure)


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
  • Delft University of Technology
  • Uijttewaal, W.S.J., Supervisor
  • Labeur, R.J., Advisor
Thesis sponsors
Award date2 Dec 2019
Print ISBNs978-94-6375-581-8
Publication statusPublished - 2019


  • 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

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