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We optimized designs of permanent magnet systems to study the effect of magnetic nanoparticles on cell cultures in microslide channels. This produced two designs, one of which is based on a large cylindrical magnet that applies a uniform…

Biological Physics · Physics 2024-01-04 Leon Abelmann , Eunheui Gwag , Baeckkyoung Sung

Stokes flows are a type of fluid flow where convective forces are small in comparison with viscous forces, and momentum transport is entirely due to viscous diffusion. Besides being routinely used as benchmark test cases in numerical fluid…

Numerical Analysis · Mathematics 2021-12-16 Andrea Cioncolini , Daniele Boffi

Microfluidic mixing is a fundamental functionality in most lab on a chip (LOC) systems,whereas realization of efficient mixing is challenging in microfluidic channels due to the small Reynolds numbers. Here, we design and fabricate a…

Applied Physics · Physics 2020-01-10 Wenbo Li , Wei Chu , Peng Wang , Jia Qi , Zhe Wang , Jintian Lin , Min Wang , Ya Cheng

This paper introduces a new approach for simulating magnetic properties of nanocomposites comprising magnetic particles embedded in a non-magnetic matrix, taking into account the 3D structure of the system in which particles' positions…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 R. F. Neumann , M. Bahiana , L. G. Paterno , M. A. G. Soler , J. P. Sinnecker , J. G. Wen , P. C. Morais

We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfaces. This flow model is also coupled with the mechanical…

Numerical Analysis · Mathematics 2021-07-15 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson

The tractions that cells exert on a gel substrate from the observed displacements is an increasingly attractive and valuable information in biomedical experiments. The computation of these tractions requires in general the solution of an…

Computational Physics · Physics 2016-08-30 Jose J Munoz

Meshless methods inherently do not require mesh topologies and are practically used for solving continuum equations. However, these methods generally tend to have a higher computational load than conventional mesh-based methods because…

Fluid Dynamics · Physics 2024-04-29 Takeharu Matsuda , Kohsuke Tsukui , Satoshi Ii

In the present work, advanced spatial and temporal discretization techniques are tailored to hyperelastic physics-augmented neural networks, i.e., neural network based constitutive models which fulfill all relevant mechanical conditions of…

Computational Engineering, Finance, and Science · Computer Science 2023-06-19 Marlon Franke , Dominik K. Klein , Oliver Weeger , Peter Betsch

This article addresses the research question if and how the finite cell method, an embedded domain finite element method of high order, may be used in the simulation of metal deposition to harvest its computational efficiency. This…

Numerical Analysis · Mathematics 2018-09-26 Ali Özcan , Stefan Kollmannsberger , John N. Jomo , Ernst Rank

Manipulating the way in which colloidal particles self-organise is a central challenge in the design of functional soft materials. Meeting this challenge requires the use of building blocks that interact with one another in a highly…

Soft Condensed Matter · Physics 2021-03-30 Joe G Donaldson , Peter Schall , Laura Rossi

Discrete Fracture Network models are largely used for very large scale geological flow simulations. For this reason numerical methods require an investigation of tools for efficient parallel solutions on High Performance Computing systems.…

Numerical Analysis · Mathematics 2021-06-21 Stefano Berrone , Alice Raeli

The spatial discretization of convective terms in compressible flow equations is studied from an abstract viewpoint, for finite-difference methods and finite-volume type formulations with cell-centered numerical fluxes. General conditions…

Fluid Dynamics · Physics 2023-01-25 Gennaro Coppola , Arthur E. P. Veldman

Motivated by recent experimental advances (Stroock et al. 2002) in microfluidic mixers, we study the passive mixing and flow properties of a patterned microchannel by means of computational fluid dynamics (CFD). Such geometries overcome the…

Soft Condensed Matter · Physics 2007-05-23 J. P. Bennett , C. H. Wiggins

In this paper, we are interested in an efficient numerical method for the mixed-dimensional approach to modeling single-phase flow in fractured porous media. The model introduces fractures and their intersections as lower-dimensional…

Numerical Analysis · Mathematics 2019-06-03 Ana Budiša , Xiaozhe Hu

Materials design based on density functional theory (DFT) calculations is an emergent field of great potential to accelerate the development and employment of novel materials. Magnetic materials play an essential role in green energy…

Materials Science · Physics 2020-09-01 Hongbin Zhang

This paper is part of a program to combine a staggered time and staggered spatial discretization of continuum mechanics problems so that any property of the continuum that is proved using vector calculus can be proven in an analogous way…

Numerical Analysis · Mathematics 2019-01-15 Stanly L. Steinberg

We present a Finite Volume formulation for determining discontinuous distributions of magnetic fields within non-orthogonal and non-uniform meshes. The numerical approach is based on the discretization of the vector potential variant of the…

Numerical Analysis · Mathematics 2024-08-13 Augusto Riedinger , Martín Saravia , José Ramírez

One of the key issues in magnetic refrigeration is generating the magnetic field that the magnetocaloric material must be subjected to. The magnet constitutes a major part of the expense of a complete magnetic refrigeration system and a…

Instrumentation and Detectors · Physics 2014-09-30 R. Bjørk , C. R. H. Bahl , A. Smith , N. Pryds

Structures with artificial mechanical properties, often called mechanical metamaterials, exhibit divergent yet tunable performance. Various types of mechanical metamaterials have been proposed, which harness light or magnetic interactions,…

We present a simple direct discretization for functionals used in the variational mesh generation and adaptation. Meshing functionals are discretized on simplicial meshes and the Jacobian matrix of the continuous coordinate transformation…

Numerical Analysis · Mathematics 2015-11-30 Weizhang Huang , Lennard Kamenski