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Ouerghi, Ibrahim (author)The mimetic spectral element method is a relatively young method in numerical solutions of partial differential equations and actions that describe physical systems. Its advantage is that it takes the geometrical structure of the problem into account which guarantees consistency of the numerical scheme and the conservation of relevant quantities...master thesis 2023
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ZHOU, ZEYUAN (author)The mimetic spectral element method (MSEM) is a structure-preserving discretization scheme based on the Galerkin Method, which strongly constrains the topology relations by discretizing and reconstructing variables in specific function spaces in order to preserve certain critical structures of the PDE in the numerical solution. In studying the...master thesis 2023
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Sharma, Revanth (author)One of the novel methodologies in computational physics research is to use mimetic discretisation techniques. Among these, the mimetic spectral element method holds special promise as it not only has the benefits of mimetic methods but also the additional benefit of higher-order discretisations using higher polynomial degrees. These methods are...master thesis 2023
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Dekker, Joey (author)Advection is at the heart of fluid dynamics and is responsible for many interesting phenomena. Unfortunately, it is also the source of the non-linearity of fluid dynamics. As such, its numerical treatment is challenging and often suboptimal. One way to more effectively deal with advection is by using a Lagrangian formulation instead of the...master thesis 2022
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Verduyn, Thomas (author)The need of computational power for engineering applications has been ever increasing and with classical computers approaching their physical limits, new ways of improvement have to be investigated. One of the promising solutions is quantum computing. Most engineering problems require solving a system of linear equations of higher dimensions and...master thesis 2022
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Shrestha, Suyash (author)Structure-preserving or mimetic discretisations are a class of advanced discretisation techniques derived by employing concepts from differential geometry. Such techniques can attain specific conservation properties at the discrete level such as conservation of mass, kinetic energy, etc when applied to conservation laws. However, like...master thesis 2022
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Ureña Baltierra, Gerardo (author)Mimetic formulations, also known as structure-preserving methods, are numerical schemes that preserve fundamental properties of the continuous differential operators at a discrete level. Additionally, they are well-known for satisfying constraints such as conservation of mass or momentum. <br/><br/>In the present work, a Mimetic Spectral Element...master thesis 2022
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- Cacais Pires, Daniel (author) master thesis 2022
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Ajay Kumar, Aniketh (author)Several investigations have been undertaken to study the velocity and temperature fields associated with the thermal mixing of fluids, and resulting thermal striping in a T-junction. The T-junction thermal mixing and fatigue phenomenon is a major area of study for the purposes of safety, maintenance and operational life in the nuclear industry,...master thesis 2021
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Cappanera, Enrico (author)This research investigates the possibility of solving one dimensional Poisson's equation on quantum computers using the Variational Quantum Linear Solver (VQLS) as a simplified test case for fluid dynamics applications. In this work, Poisson's equation is discretized with the finite element method and the resulting matrix is decomposed as a...master thesis 2021
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van Schie, Sebastiaan (author)This thesis poses a new geometric formulation for compressible Euler flows. A partial decomposition of this model into Roe variables is applied; this turns mass density, momentum and kinetic energy into product quantities of the Roe variables. Lie derivative advection operators of weak forms constructed with this decomposed model naturally...master thesis 2021
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Giridhar, Yashasvi (author)The present research aims at establishing a numerical technique that allows for simple discretization of curved domains. The method of implementation features use of covariant exterior derivatives that are used alongside structure preserving mixed mimetic spectral methods, that is primal and algebraic dual polynomials. A single element...master thesis 2020
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Kanawade, Kunal (author)In nuclear industry applications, from design and safety aspects, it is important to predict the flow and heat transfer. The passive cooling systems, one of the robust cooling systems in the nuclear design are based on natural convections. In the RANS approach, non-linear unknown heat flux term has to be closed by appropriate model for accurate...master thesis 2019
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Goyal, Jatinder (author)The gradually increasing air pollution calls for more and more effective solutions. This master thesis is focused on the investigation of aerosol trajectories inside the agricultural purifier named `ASPRA Agro', developed at VFA Solutions. Various CFD simulations have been carried out using an open-source C++ toolbox named `OpenFOAM'. The flow...master thesis 2019
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Olto, Simone (author)Being able to solve numerically partial differential equations is fundamental for engineers to evaluate, optimize and improve industrial equipments. The framework of mimetic finite element methods allows engineers to find solutions characterized by strong conservation properties: this may result in a pointwise divergence free-flow field. However...master thesis 2019
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Liu, Zeyu (author)In order to solve linear system of equations obtained from numerical discretisation fast and accurate, preconditioning on the coefficient matrix is needed. In this thesis research, a preliminary study on preconditioning techniques suitable for Mimetic Spectral Element Method (MSEM) will be presented. The spectral limit change of some important...master thesis 2018
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Desai, Sanjeet (author)Feadship yachts are designed for the leisure and cruising across the oceans. These luxury yachts are mostly powered by diesel engines or in some cases, a diesel-hybrid system. To prevent the inconvenience and the discomfort arising from the diesel exhaust gases for passengers, Feadship yachts are equipped with an underwater exhaust outlet. These...master thesis 2018
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Kunnen, Jeroen (author)In 2011 a relatively new type of numerical scheme has been introduced: Active Flux schemes. In this type of scheme an extra degree of freedom is added to the cell interfaces of a regular finite volume grid. This enables the use of non-conservative update methods for these additional variables, as conservation is automatically adhered to by the...master thesis 2018
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Hamraz, Ash (author)In Pressurized Thermal Shock (PTS) applications, there is a co-existence of different flow regimes. The regimes can be divided in two main groups namely, dispersed two-phase flows and the separated two-phase flows having relatively larger interface. Simulating a two-phase flow itself is already a complex task. It gets even more complex when the flow...master thesis 2018
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Liu, Shuming (author)The thesis aims to solve partial differential equations numerically using mimetic spectral element method. The method rewrites the PDEs with differential forms so the resulting equations are able to preserve geometrical characteristics in physics. The equation we focus is the Poisson equation, which can be utilized for potential flow problems....master thesis 2018