When Euler meets Lagrange

Particle-Mesh Modeling of Advection Dominated Flows

Doctoral thesis (2019)

Authors

J.M. Maljaars Rivers, Ports, Waterways and Dredging Engineering - CEG
Research Group
Rivers, Ports, Waterways and Dredging Engineering (CEG) (TU Delft)
Copyright: © 2019 J.M. Maljaars
DOI: https://doi.org/10.4233/uuid:a400512d-966d-402a-a40a-fedf60acf22c
Finite element method Conservation Incompressible Navier-Stokes Lagrangian-Eulerian Hybridized discontinuous Galerkin Particle-in-cell PDE-constrained optimization Advection-dominated flows Advection-diffusion Multiphase flows
More Info
expand_more

Published Date

2019

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Civil Engineering & Geosciences

Department

Hydraulic Engineering

Research Group

Rivers, Ports, Waterways and Dredging Engineering

Abstract

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.