Searched for: subject%3A%22Time%255C%2Bintegration%22
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Zhang, Jujian (author)
This thesis introduces the Discontinuity-Enriched Finite Element Method (DE-FEM) for the modeling of dynamic multiple crack growth problems including branching and merging, as an alternative to eXtended/Generalized Finite Element Method (X/GFEM). DE-FEM differs from X/GFEM by placing the enriched degrees of freedom (DOFs) directly along the...
master thesis 2023
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Buwalda, F.J.L. (author), de Goede, Erik (author), Knepflé, Maxim (author), Vuik, Cornelis (author)
The accuracy, stability and computational efficiency of numerical methods on central processing units (CPUs) for the depth-averaged shallow water equations were well covered in the literature. A large number of these methods were already developed and compared. However, on graphics processing units (GPUs), such comparisons are relatively scarce....
journal article 2023
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van Kan, J.J.I.M. (author), Segal, A. (author), Vermolen, Fred (author)
Partial differential equations are paramount in mathematical modelling with applications in engineering and science. The book starts with a crash course on partial differential equations in order to familiarize the reader with fundamental properties such as existence, uniqueness and possibly existing maximum principles. The main topic of the...
book 2023
document
Zheng, X. (author)
Large deformations in fluid-saturated geomaterials are central to numerous geotechnical applications, such as landslides and dam failures, pile installations, and underground excavations. An in-depth understanding of the soil's hydromechanical behaviour during large-deformation processes is essential for quantitative predictions about such...
doctoral thesis 2022
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Soliman, Philip (author)
This thesis contains the development of continuous Kepler orbit- and a discrete numerical integration-based collision detection algorithms in a system of LEO satellites, which in combination with collision algorithm form a simplified space debris evolution model. This model is then used to study the Kessler syndrome. The continuous and discrete...
bachelor thesis 2022
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Tsalidis, G.A. (author)
Industrial agriculture results in environmental burdens due to the overuse of fertilizers and pesticides. Fungicides is a class of pesticides whose application contributes (among others) to human toxicity and ecotoxicity. The European Union aims to increase organic agriculture. For this reason, this work aims to analyze climate change,...
review 2022
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Zheng, X. (author), Pisano, F. (author), Vardon, P.J. (author), Hicks, M.A. (author)
The Material Point Method (MPM) has been gaining increasing popularity as an appropriate approach to the solution of coupled hydro-mechanical problems involving large deformations. This study extends the implicit GIMP-patch method for coupled poroelastic problems recently proposed by Zheng et al. (2021b) to tackle large-deformation problems...
journal article 2022
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Stelling, G.S. (author)
The widespread availability of high-resolution Digital Elevation Models (DEM), has led to the development of subgrid numerical modeling techniques, based on Shallow Water Equations (SWE). Detailed DEM data is clustered as much as possible within a coarse grid cell that is preferably much larger than a raster pixel. This has considerable...
journal article 2022
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Zheng, X. (author), Pisano, F. (author), Vardon, P.J. (author), Hicks, M.A. (author)
This study presents the formulation and implementation of a fully implicit stabilised Material Point Method (MPM) for dynamic problems in two-phase porous media. In particular, the proposed method is built on a three-field formulation of the governing conservation laws, which uses solid displacement, pore pressure and fluid displacement as...
journal article 2022
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Yan, Yuheng (author)
The computational modeling of crack propagation is important in aerospace and automotive industries because cracks play a significant role in structural failure. In comparison with the quasi-static case, inertial effects are significant in dynamic crack propagation. The classical numerical tool for modeling dynamic crack propagation is the...
master thesis 2021
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Budko, Ariena (author)
In this paper the research behind the parallelization on the GPU of the time parallel time integration method Parareal. Firstly, the theory behind Parareal and its convergence theorems will be detailed. Then, two test models, the Lorenz system and Heat diffusion equation, will be introduced. Additionally, the derivation of the Forward Euler and...
bachelor thesis 2020
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Buwalda, Floris (author)
In the past 15 years the field of general purpose computing on graphics processing units, or GPUs, has become well developed and the practice is becoming more mainstream. Computational demands of simulation software are continuously increasing. As such for many applications traditionally computed on the central processing unit the question...
master thesis 2020
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Yang, Boyuan (author)
In finite element analysis, nonlinear time-history analysis is a realistic and accurate analysis type for dynamic or seismic analysis due to its solutions contain wealthy data and complete response time-history. The most commonly used method, probably the only practical procedure, in nonlinear time-history analysis is the direct time integration...
master thesis 2019
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Akkerman, I. (author), ten Eikelder, M.F.P. (author)
This paper presents a new monolithic free-surface formulation that exhibits correct kinetic and potential energy behavior. We focus in particular on the temporal energy behavior of two-fluids flow with varying densities. Correct energy behavior here means that the actual energy evolution of the numerical solution matches the evolution as...
journal article 2019
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Blom, D.S. (author)
Fluid-structure interaction simulations are crucial for many engineering problems. For example, the blood flow around new heart valves or the deployment of airbags during a car crash are often modeled with fluidstructure interaction simulations. Also, to design safe parachutes, simulations are carried out to model the unsteady deformations of...
doctoral thesis 2017
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Aissa, M.H. (author), Verstraete, Tom (author), Vuik, Cornelis (author)
A computational Fluid Dynamics (CFD) code for steady simulations solves a set of non-linear partial differential equations using an iterative time stepping process, which could follow an explicit or an implicit scheme. On the CPU, the difference between both time stepping methods with respect to stability and performance has been well covered in...
journal article 2017
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Gillebaart, T. (author)
One of the solutions to speed up the energy transition is the smart rotor concept: wind turbine blades with actively controlled Trailing Edge Flaps. In the past decade feasibility studies (both numerical and experimental) have been performed to assess the applicability of smart rotors in future design strategies and the next step is the...
doctoral thesis 2016
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Kazemi Kamyab, V. (author)
Time-accurate simulations of the thermal interaction of flows and structures, also referred to as conjugate heat transfer (CHT), can be computationally expensive. Furthermore, given the multi-physics nature of many engineering problems, resolution of other coupled phenomena, in addition to CHT, may also be of interest. This thesis aimed at...
doctoral thesis 2013
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Blom, D.S. (author), Bijl, H. (author), Birken, P. (author), Meister, A. (author), Van Zuijlen, A.H. (author)
This contribution compares the efficiency of Rosenbrock time integration schemes with ESDIRK schemes, applicable to unsteady flow and fluid-structure interaction simulations. Compared to non-linear ESDIRK schemes, the linear implicit Rosenbrock-Wanner schemes require subsequent solution of the same linear systems with different right hand sides....
conference paper 2013
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Kazemi Kamyab, V. (author), Van Zuijlen, A.H. (author), Bijl, H. (author)
Noting that time-accurate computations of the unsteady incompressible Navier-Stokes (INS) equations can be computationally expensive, a family of higher order implicit multi-stage time integration schemes (namely ESDIRK) is used for advancing the solution to the unsteady INS in time. The higher order time integration schemes have the potential...
conference paper 2012
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