Searched for: subject%3A%22Level%255C%2Bset%22
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Taumaturgo Mororo, L.A. (author)
Developing accurate and robust numerical approaches that are capable of modeling fracture in solids has been a challenging undertaking in the computational mechanics community for decades. Models based on a continuous formulation or on a discontinuous one have been proposed by numerous authors, expanding upon abilities and disadvantages of these...
doctoral thesis 2023
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Noel, L.F.P. (author), Maute, K. (author)
Solving conjugate heat transfer design problems is relevant for various engineering applications requiring efficient thermal management. Heat exchange between fluid and solid can be enhanced by optimizing the system layout and the shape of the flow channels. As heat is transferred at fluid/solid interfaces, it is crucial to accurately resolve...
journal article 2023
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van Bergen, Steven (author)
Nanophotonics is the study of structures’ interaction with light with features at or below the nanometer scale. It has gained the interest of many researchers, as it can be used to control the flow of light very effectively in the design of, e.g., solar cells, highly efficient biosensors or lasers. The design of such devices can be non-intuitive...
master thesis 2022
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Keur, Julius (author)
High performance machines rely on fast moving parts and generally avoid resonance for improved accuracy. To improve the dynamic properties of these high performance machines, their parts are optimized via a lengthy iterative process. Topology optimization for vibrations problems could shorten this time consuming design process and provide a more...
master thesis 2022
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Liu, Shangru (author)
In this 3D fracture-based topology optimization framework, the author extended the 2D framework on tailoring fracture resistance for brittle materials (Zhang et al., 2022) to 3D. In the optimization, the topology is described by radial basis functions interpolated level set function, and the problem is solved by the Interface-enriched...
master thesis 2022
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Frank, Abel (author)
The level-set approach in the field of topology optimisation has been studied thoroughly the last two decennia, but there is a lack of challenging standard benchmark problems. Besides two standard benchmark problems, this master's thesis tackles one difficult benchmark problem in particular: the inverter. For every benchmark the minimum...
master thesis 2022
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Zhang, J. (author)
Cracks, which could nucleate and propagate in engineering structures, could have an adverse effect on mechanical performance and even lead to catastrophic failure. Thus, it is critical to investigate structural behavior under fracture, which requires an appropriate modeling methodology for fracture analysis. Furthermore, designing structures...
doctoral thesis 2022
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Zhang, J. (author), van Keulen, A. (author), Aragon, A.M. (author)
We propose a fully immersed topology optimization procedure to design structures with tailored fracture resistance under linear elastic fracture mechanics assumptions for brittle materials. We use a level set function discretized by radial basis functions to represent the topology and the Interface-enriched Generalized Finite Element Method ...
journal article 2022
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Taumaturgo Mororo, L.A. (author), Poot, A. (author), van der Meer, F.P. (author)
The Thick Level Set method (TLS) is an approach for non-local damage modeling in which the damage evolution is linked to the movement of a damage front described with the level set method. More recently, a new version of the TLS, designated as the TLSV2, has been proposed as a new concept for coupling continuum damage modeling and discrete...
journal article 2022
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Zhang, J. (author), Zhebel, E.V. (author), van den Boom, S.J. (author), Liu, D. (author), Aragon, A.M. (author)
In this work, an object-oriented geometric engine is proposed to solve problems with discontinuities, for instance, material interfaces and cracks, by means of unfitted, immersed, or enriched finite element methods (FEMs). Both explicit and implicit representations, such as geometric entities and level sets, are introduced to describe...
journal article 2022
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Fayezioghani, A. (author), Dekker, R. (author), Sluys, Lambertus J. (author)
Corrosion is a phenomenon observed in structural components in corrosive environments such as pipelines, bridges, aircrafts, turbines, etc. The computational model of corrosion should enjoy two features: a) accurately considering the electrochemistry of corrosion and b) properly dealing with the moving interface between solid and electrolyte....
journal article 2022
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Fayezioghani, A. (author), Dekker, R. (author), Sluys, Lambertus J. (author)
Structural components in corrosive environments such as pipelines, bridges, aircrafts, and turbines are imposed to stress corrosion. A stress corrosion model for pit growth should a) accurately consider the electrochemistry of the corrosion process, b) properly deal with the moving interface between solid and electrolyte, and c) effectively...
journal article 2022
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Verburg, Corné (author)
This work aims at finding a second order accurate level-set method which solves the Stefan problem with non-homogeneous Dirichlet boundary conditions in one dimension. The numerical accuracy of the FTCS-scheme, BTCS-scheme and Crank-Nicolson scheme for the discretization of the heat equation was considered, as well as the accuracy of the first...
bachelor thesis 2021
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Keer, Pim (author)
Level-set percolation on the Discrete Gaussian Free Field (DGFF) turned out to be a hot topic within mathematical physics over the last couple of years. In particular, the DGFF on Z^d , with homogeneously weighted nearest-neighbour interactions, i.e. all conductances equal to 1, has been studied in detail. These models can be simulated with...
bachelor thesis 2021
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Frima, Erik (author)
In (mathematical) physics one can encounter problems with a fase change, the so called Stefan problems. Numerical methods to solve these problems often use a level-set function which indicates the distance to the fase boundary. Problems can arise in the medial axis points of the zero set. Therefore it can be usefull to calculate this medial axis...
bachelor thesis 2021
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Raman, Raghavendran (author)
Efficient combustion processes are indispensable in limiting the temperature increase to 1.5 deg C as set by Intergovernmental Panel on Climate Change (IPCC) before 2030 to curtail the effects of global warming. As for the emissions, the main task lies in controlling the air-fuel ratio in the lean regime as to control the emissions of NOx since...
master thesis 2021
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ten Eikelder, M.F.P. (author), Akkerman, I. (author)
Two well-established classes of the interface capturing models are the level-set and phase-field models. Level-set formulations satisfy the maximum principle for the density but are not energy-stable. On the other hand, phase-field models do satisfy the second law of thermodynamics but lack the maximum principle for the density. In this paper...
journal article 2021
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Dekker, R. (author), van der Meer, F.P. (author), Maljaars, Johan (author), Sluys, Lambertus J. (author)
A numerical model for corrosion pit propagation under mechanical loading is presented. The level set method is used for corrosion front tracking and also enables the domain to be split into a solid and a pit domain. In the pit the diffusion of atoms originating from the dissolution process occurring at the pit front is simulated. The model is...
journal article 2021
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Mororó, L. A. T. (author), van der Meer, F.P. (author)
The thick level set (TLS) method has been proposed as a nonlocal damage model for the modeling of failure in solids being able to deal with crack initiation, branching, and merging. The nonlocality of the TLS is achieved by introducing a characteristic length into the problem. This way, the TLS does not suffer from spurious localization in the...
journal article 2021
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Kerst, A. (author)
The level-set (LS) method uses a signed-distance function to capture the interface in two-phase flows. Geometrical properties can be easily obtained, and merging and splitting of the interface are handled automatically by the LS method. However, it is not inherently volume conserving. Several methods found in literature that aim to solve this...
master thesis 2020
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