When Euler meets Lagrange
Particle-Mesh Modeling of Advection Dominated Flows
Jakob Maljaars (TU Delft - Rivers, Ports, Waterways and Dredging Engineering)
Wim Uijttewaal – Promotor (TU Delft - Environmental Fluid Mechanics)
Robert Jan Labeur – Copromotor (TU Delft - Environmental Fluid Mechanics)
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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.