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Shrestha, S. (author), Dekker, J. (author), Gerritsma, M.I. (author), Hulshoff, S.J. (author), Akkerman, I. (author)In this paper, we build on the work of Hughes and Sangalli (2007) dealing with the explicit computation of the Fine-Scale Greens’ function. The original approach chooses a set of functionals associated with a projector to compute the Fine-Scale Greens’ function. The construction of these functionals, however, does not generalise to arbitrary...journal article 2024
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Spring, H. (author), Könye, Viktor (author), Gerritsma, F.A. (author), Fulga, Ion Cosma (author), Akhmerov, A.R. (author)Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy conservation, the dynamics of individual, real-space wave packets follows a different behavior. Both transitions between localization and unidirectional...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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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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Zhao, M. (author), Wang, Y. (author), Gerritsma, M.I. (author), Hajibeygi, H. (author)CO<sub>2</sub> sequestration and storage in deep saline aquifers is a promising technology for mitigating the excessive concentration of the greenhouse gas in the atmosphere. However, accurately predicting the migration of CO<sub>2</sub> plumes requires complex multi-physics-based numerical simulation approaches, which are prohibitively...journal article 2023
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Li, Y. (author), Gerritsma, F.A. (author), Kurdi, S. (author), Codreanu, N. (author), Groeblacher, S. (author), Hanson, R. (author), Norte, R.A. (author), van der Sar, T. (author)Magnetic imaging with nitrogen-vacancy (NV) spins in diamond is becoming an established tool for studying nanoscale physics in condensed matter systems. However, the optical access required for NV spin readout remains an important hurdle for operation in challenging environments such as millikelvin cryostats or biological systems. Here, we...journal article 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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Zhang, Y. (author), Palha, A. (author), Gerritsma, M.I. (author), Rebholz, Leo G. (author)We introduce a mimetic dual-field discretization which conserves mass, kinetic energy and helicity for three-dimensional incompressible Navier-Stokes equations. The discretization makes use of a conservative dual-field mixed weak formulation where two evolution equations of velocity are employed and dual representations of the solution are...journal article 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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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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Khan, Arbaz (author), Upadhyay, Chandra Shekhar (author), Gerritsma, M.I. (author)In this paper, an h∕p spectral element method with least-square formulation for parabolic interface problem will be presented. The regularity result of the parabolic interface problem is proven for non-homogeneous interface data. The differentiability estimates and the main stability estimate theorem, using non-conforming spectral element...journal article 2018
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