Searched for: subject%3A%22Spectral%255C+element%255C+method%22
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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
document
Nederpel, Wolf (author)
The Navier-Stokes equations govern the flow of viscous fluids such as air or water. Since no general solution is known, computer simulations are used to obtain approximate solutions. As computers are unable to handle continuous representations of fields, finite-dimensional projection of fields is required, resulting in a loss of information. A...
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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Fradera Soler, Pau (author)
Pollution in urban environments is increasingly becoming a major concern for our societies which, together with the increasingly powerful capabilities provided by computational fluid dynamics (CFD), has made pollution dispersion a common topic of research during the last two decades. Several factors are relevant to the dispersion of pollutants...
master thesis 2023
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Jain, V. (author), Palha, A. (author), Gerritsma, M.I. (author)
In this work we use algebraic dual spaces with a domain decomposition method to solve the Darcy equations. We define the broken Sobolev spaces and their finite dimensional counterparts. A global trace space is defined that connects the solution between the broken spaces. Use of algebraic dual spaces results in a sparse, metric-free...
journal article 2023
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Valiya Valappil, S. (author), Krushynska, Anastasiia O. (author), Aragon, A.M. (author)
The band-gap frequencies of elastic metamaterials are ideally determined by a metamaterial architecture; yet, in practical situations, are often dependent on the material damping in their constituent(s). The analysis of viscoelastic metamaterials requires however substantial computational resources and, except for oversimplified cases, is...
journal article 2023
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Riccioli, F. (author), Huijer, A.J. (author), Grasso, Nicola (author), Rizzo, Cesare M. (author), Pahlavan, Lotfollah (author)
Measurement of transient pressure distribution on maritime structures is important for the assessment of the hydrodynamic loads applied. The commonly used pressure sensors are mostly bulky, need to be bolted to the structure, and/or only provide point-wise measurements. In this paper, an elastic matrix layer with a network of embedded...
journal article 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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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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Zhang, Y. (author)
Structure-conserving numerical methods that aim at preserving certain structures of the PDEs at the discrete level have been an interesting research topic for many decades. The mimetic spectral element method, a recently developed arbitrary order structure-preserving method on orthogonal or curvilinear meshes, has also been drawing increasingly...
doctoral thesis 2022
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Zhang, Y. (author), Fisser, Joël (author), Gerritsma, M.I. (author)
We introduce a domain decomposition structure-preserving method based on a hybrid mimetic spectral element method for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The method is an equilibrium method which satisfies pointwise equilibrium of forces. The domain decomposition is established through...
journal article 2021
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Weijers, Wessel Niek (author)
Physical systems in the continuous domain are often solved using computer-aided software because of their complexity. Preserving the physical quantities from the continuous domain in the discrete domain is therefore of utmost importance. There is however a broad range of techniques that can accomplish the translation between the continuous and...
master thesis 2020
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Sun, Z. (author), Kasbergen, C. (author), van Dalen, K.N. (author), Anupam, K. (author), Erkens, S. (author), Scarpas, Athanasios (author)
Maintenance and rehabilitation strategies of pavements are usually made based on the results of performance evaluation. An efficient tool for pavement structural evaluation at network level is the traffic speed deflectometer (TSD) test. In order to deal with TSD measurements, this paper proposes a parameter back-calculation technique. Firstly,...
conference paper 2020
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Jain, V. (author), Zhang, Y. (author), Palha, A. (author), Gerritsma, M.I. (author)
Given a sequence of finite element spaces which form a de Rham sequence, we will construct dual representations of these spaces with associated differential operators which connect these spaces such that they also form a de Rham sequence. The dual representations also need to satisfy the de Rham sequence on the domain boundary. The matrix...
journal article 2020
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Bni Lam, N.H.N. (author), Al-Khoury, Rafid (author)
This paper presents a semi-analytical model based on the spectral element method for three-dimensional, short-to-long term heat flow in multiple borehole, multilayer ground source heat pump systems. The model is distinguished by its computational technique for expressing the input signal at the boundary of the borehole heat exchanger, giving...
journal article 2020
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Zhang, Y. (author), Jain, V. (author), Palha, A. (author), Gerritsma, M.I. (author)
In this paper, we present a hybrid mimetic method which solves the mixed formulation of the Poisson problem on curvilinear quadrilateral meshes. The method is hybrid in the sense that the domain is decomposed into multiple disjoint elements and the interelement continuity is enforced using a Lagrange multiplier. The method is mimetic in the...
conference paper 2020
document
Sun, Z. (author), Kasbergen, C. (author), Scarpas, Athanasios (author), van Dalen, K.N. (author), Anupam, K. (author), Erkens, S. (author)
A non-destructive testing method suitable for network-level pavement structural evaluation is the traffic speed deflectometer (TSD) test. However, the analysis of TSD measurements still needs a proper parameter back-calculation procedure, which requires an accurate and efficient forward calculation model. As a first step to solving this issue...
journal article 2020
document
Sun, Z. (author), Kasbergen, C. (author), van Dalen, K.N. (author), Anupam, K. (author), Scarpas, Athanasios (author), Erkens, S. (author)
Pavements generally demand necessary maintenance and rehabilitation to maintain their service performance in the whole lifespan. The maintenance and rehabilitation strategies are usually formulated based on the results of non-destructive testing, in which the traffic speed deflectometer (TSD) test is an efficient tool for pavement structural...
conference paper 2020
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