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When Euler meets Lagrange : Particle-Mesh Modeling of Advection Dominated Flows. / Maljaars, Jakob.

2019. 184 p.

Research output: ThesisDissertation (TU Delft)

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@phdthesis{a400512d966d402aa40afedf60acf22c,
title = "When Euler meets Lagrange: Particle-Mesh Modeling of Advection Dominated Flows",
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.",
keywords = "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",
author = "Jakob Maljaars",
year = "2019",
doi = "10.4233/uuid:a400512d-966d-402a-a40a-fedf60acf22c",
language = "English",
isbn = "978-94-6375-581-8",
school = "Delft University of Technology",

}

RIS

TY - THES

T1 - When Euler meets Lagrange

T2 - Particle-Mesh Modeling of Advection Dominated Flows

AU - Maljaars, Jakob

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Lagrangian-Eulerian

KW - finite element method

KW - Hybridized discontinuous Galerkin

KW - particle-in-cell

KW - PDE-constrained optimization

KW - conservation

KW - Advection-dominated flows

KW - Advection-diffusion

KW - incompressible Navier-Stokes

KW - Multiphase flows

U2 - 10.4233/uuid:a400512d-966d-402a-a40a-fedf60acf22c

DO - 10.4233/uuid:a400512d-966d-402a-a40a-fedf60acf22c

M3 - Dissertation (TU Delft)

SN - 978-94-6375-581-8

ER -

ID: 66581694