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Marynets, K. (author), Tomovski, Živorad (author)We introduce a successive approximations method to study one fractional periodic boundary value problem of the Hilfer-Prabhakar type. The problem is associated to the corresponding Cauchy problem, whose solution depends on an unknown initial value. To find this value we numerically solve the so-called ’determining system’ of algebraic or...journal article 2024
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Chang, X. (author), Wellens, P.R. (author)The lack of suitable boundary conditions in practical surface wave simulations with maritime structures in current or at forward speed may cause energy in the computational domain to accumulate due to spurious wave reflection. The common way to prevent wave reflection is to use passive wave absorbers, such as damping zones or relaxation zones...journal article 2024
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Successive approximations and interval halving for fractional BVPs with integral boundary conditionsMarynets, K. (author), Pantova, D.H. (author)We study a system of non-linear fractional differential equations, subject to integral boundary conditions. We use a parametrization technique and a dichotomy-type approach to reduce the original problem to two “model-type” fractional boundary value problems with linear two-point boundary conditions. A numerical-analytic technique is applied...journal article 2024
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Bechtel, S. (author)We show L<sup>p</sup>-estimates for square roots of second order complex elliptic systems L in divergence form on open sets in R<sup>d</sup> subject to mixed boundary conditions. The underlying set is supposed to be locally uniform near the Neumann boundary part, and the Dirichlet boundary part is Ahlfors–David regular. The lower endpoint for...journal article 2024
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Shakeri, I. (author), Wu, W. (author), Michel, Alexander (author), Eder, Martin A. (author)The present study proposes a novel model to modify master S-N curves of components according to their load redistribution capability reflected in different boundary conditions (BCs) based on the fracture mechanics analysis. To that end, a comprehensive numerical study was conducted on a Single Edge Notch Bend (SENB) specimen constrained with...journal article 2024
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Zhang, Yi (author), Palha, A. (author), Gerritsma, M.I. (author), Yao, Qinghe (author)In this work, we present a mass, energy, enstrophy and vorticity conserving (MEEVC) mixed finite element discretization for two-dimensional incompressible Navier-Stokes equations as an alternative to the original MEEVC scheme proposed in A. Palha and M. Gerritsma (2017) [5]. The present method can incorporate general boundary conditions....journal article 2024
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Lotz, J.E. (author), ten Eikelder, Marco F.P. (author), Akkerman, I. (author)The computation of periodic flows is typically conducted over multiple periods. First, a number of periods is used to develop periodic characteristics, and afterwards statistics are collected from averages over multiple periods. As a consequence, it is uncertain whether the numerical results are exactly time-periodic, and additionally, the...journal article 2024
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Belardinelli, P. (author), Lenci, S. (author), Alijani, F. (author)Through molecular dynamics simulations, we demonstrate the possibility of internal resonances in single-walled carbon nanotubes. The resonant condition is engineered with a lack of symmetry in the boundary condition and activated by increasing the energy exchange with a coupled thermal bath. The critical temperature threshold for initiating...journal article 2024
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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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Wille, Seppe (author)Offshore installation vessels are growing in size in order that they are capable of handling the next-generation 15 and 20MW wind turbines. At the same time, it is important to gain a better understanding of their structural behaviour using the finite element (FE) method. One approach that is often used is the full vessel FE analysis, which...master thesis 2023
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Jager, Pim (author)In dit verslag is een eolisch sedimenttransport model geformuleerd en het model van De Vries geïmplementeerd en geanalyseerd. Na de afleiding van de eendimensionale advectie-diffusievergelijking vanuit de driedimensionale continuïteitsvergelijking is eerst het model van De Vries zonder diffusie onderzocht. In het model kan er onderscheid gemaakt...bachelor thesis 2023
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Turner, Ben (author)The continuous growth of material consumption places a high burden on the Earth's systems, causing harm to both humans and nature. Transitioning to a circular economy, in which all products and materials retain in cycles, has been promoted by the European Union as a countermeasure to this...master thesis 2023
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Costa Farinha, Daniel (author)A new multiscale fracture mechanics methodology is being developed at TU Delft for composite materials. This methodology aims to unlock the use of hierarchical multiscale frameworks to link sub-ply fracture processes to laminate failure. In this thesis, this methodology is extended to 3D, both in terms of its analytical formulation and the...master thesis 2023
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Ajay Kumar, Aniketh (author), Mathur, Akshat (author), Gerritsma, M.I. (author), Komen, Ed (author)Several investigations have been undertaken to study the velocity and temperature fields associated with the thermal mixing between fluids, and resulting thermal striping in a T-junction. However, the available experimental databases are not sufficient to describe the involved physics in adequate detail, and, due to experimental limitations,...journal article 2023
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Saeidi, Omid (author), Rahimi Dalkhani, A. (author)A geomechanics program for wellbore stability analysis has been developed consisting of two modules: an analytical-based solution and a numerical-based solution. In the first part, input data are imported, including petrophysical well logs, pressure data, formation well tops, and a well path. Lithology intervals are set with proper prediction...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author)We study a nonlinear fractional boundary value problem (BVP) subject to non-local multipoint boundary conditions. By introducing an appropriate parametrization technique we reduce the original problem to an equivalent one with already two-point restrictions. Using a notion of Chebyshev nodes and Lagrange polynomials we construct a successive...journal article 2023
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Andrade Corona, C.F. (author), Dieudonné, A.A.M. (author), Gebert, J. (author), Heimovaara, T.J. (author)Nitrogen undergoes multiple biogeochemical transformations during waste degradation, which depend on speciation, prevailing geochemical boundary conditions, and waste surface properties. This study developed a waste biodegradation model with high flexibility in accommodating reaction pathways to assess different process dynamics. The model was...conference paper 2023
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Saitta, Simone (author), Maga, L.M. (author), Armour, Chloe (author), Votta, Emiliano (author), O'Regan, Declan P. (author), Salmasi, M. Yousuf (author), Athanasiou, Thanos (author), Weinsaft, Jonathan W. (author), Xu, Xiao Yun (author), Pirola, S. (author), Redaelli, Alberto (author)Background and Objective: Numerical simulations of blood flow are a valuable tool to investigate the pathophysiology of ascending thoratic aortic aneurysms (ATAA). To accurately reproduce in vivo hemodynamics, computational fluid dynamics (CFD) models must employ realistic inflow boundary conditions (BCs). However, the limited availability of...journal article 2023
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Fečkan, Michal (author), Marynets, K. (author), Wang, J. (author)We study a boundary value problem for a Caputo-type fractional differential equation subjected to periodic boundary conditions. For an auxiliary problem with the simplified right-hand side, we explicitly construct its unique solution. In addition, based on the theory of the topological index, we prove existence of at least one solution to the...journal article 2023
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Shariati, Vahid (author), Roohi, Ehsan (author), Ebrahimi, Amin (author)The direct simulation Monte Carlo (DSMC) method, which is a probabilistic particle-based gas kinetic simulation approach, is employed in the present work to describe the physics of rarefied gas flow in super nanoporous materials (also known as mesoporous). The simulations are performed for different material porosities (0.5≤ϕ≤0.9), Knudsen...journal article 2023