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A three-dimensional finite-volume MHD solver in non-orthogonal curvilinear geometry: GAMERA, a reinvention of LFM
[article]
2018
arXiv
pre-print
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non-orthogonal staggered spherical mesh with constrained transport, conservative averaging-reconstruction for axis singularities and the capability to handle multiple ion species. ...
The code, used since then extensively in heliophysics research, had a number of novel features: eighth-order centered spatial differencing, the Partial Donor Cell Method limiter for shock capturing, a ...
Acknowledgement The research was supported by the National Center for Atmospheric Research (NCAR) and the Johns Hopkins University Applied Physics Laboratory Independent Research & Development funds. ...
arXiv:1810.10861v1
fatcat:ehehlqgzfzdzppqnq5uaiylpfu
A Two‐dimensional Magnetohydrodynamics Scheme for General Unstructured Grids
2007
Astrophysical Journal Supplement Series
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We report a new finite-difference scheme for two-dimensional magnetohydrodynamics (MHD) simulations, with and without rotation, in unstructured grids with quadrilateral cells. ...
In this paper, we describe the new scheme in detail and present comparisons of VULCAN/2D results with those of the code ZEUS/2D for several one-dimensional and two-dimensional test problems. ...
noted that such an MHD shock-tube test, with a sharp discontinuity, forces code accuracy to be first-order. ...
doi:10.1086/513701
fatcat:nf5ymcgbwfe3rlpf7vx3m7zuxm
Magnetohydrodynamics- and magnetosolutal-transport-mediated evaporation dynamics in paramagnetic pendant droplets under field stimulus
2018
Physical review. E
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The modeling establishes the magnetosolutal advection component to be the domineering factor in augmented evaporation dynamics. ...
Literature provides information that solutal advection and solutal Marangoni effect lead to enhancement of evaporation in droplets with ionic inclusions. ...
Acknowledgments PD thanks IIT Ropar for the financial support towards the present research (vide ISIRD grant IITRPR/Research/193 and IITRPR/Interdisp/CDT). ...
doi:10.1103/physreve.98.013109
pmid:30110813
fatcat:7uaggnot3zbqri64yj45v764xa
PLUTO: A Numerical Code for Computational Astrophysics
2007
Astrophysical Journal Supplement Series
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reconstruction followed by the solution of Riemann problems at zone interfaces and a final evolution stage. ...
The modular structure exploits a general framework for integrating a system of conservation laws, built on modern Godunov-type shock-capturing schemes. ...
A. M. would like to thank R. Rosner, T. Linde and T. ...
doi:10.1086/513316
fatcat:3zv3m7pav5brhefxa266vlxl4u
Advective transport of CO2in permeable media induced by atmospheric pressure fluctuations: 2. Observational evidence under snowpacks
2006
Journal of Geophysical Research
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With the aid of this physically based model, inferences are made about the nature of the physical properties of both the forcing mechanism and the snowpack that contribute to these periodic variations ...
Results are consistent with the hypothesis that the undersnow CO 2 is being driven by advective flows induced by pressure fields created when the wind interacts with the local aerodynamic roughness elements ...
Our thanks also go to Bob Hamre, Dick Sommerfeld, and Gene Takle for their scientific and editorial contributions to this manuscript. ...
doi:10.1029/2006jg000164
fatcat:n32xm3ngk5amhpjwhprrbpiuyu
MPI-AMRVAC: a parallel, grid-adaptive PDE toolkit
[article]
2020
arXiv
pre-print
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We report on the latest additions to our open-source, block-grid adaptive framework MPI-AMRVAC, which is a general toolkit for especially hyperbolic/parabolic partial differential equations (PDEs). ...
Here, we demonstrate applications covering any-dimensional scalar to system PDEs, with e.g. ...
Acknowledgements RK was supported by a joint FWO-NSFC grant G0E9619N and by his ERC Advanced Grant PROMINENT, and JT was supported by FWO postdoctoral fellowship 12Q6117N. ...
arXiv:2004.03275v1
fatcat:uvgqsxzwqvg37p4ivfyg5wxckm
Cosmic-ray propagation with DRAGON2: I. numerical solver and astrophysical ingredients
2017
Journal of Cosmology and Astroparticle Physics
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2016 pre-print arXiv:1607.07886v1 fatcat:hxd63y5ajjh6ppt6ilrdz4m6uiOther Versions
The new version includes an updated numerical solver and several models for the astrophysical ingredients involved in the transport equation. ...
The new version facilitates the users to include their own physical models by means of a modular C++ structure. ...
We thank Iris Gebauer and her team (Matthias Weinreuter, Simon Kunz, Florian Keller) for their help with the debugging and testing of the solver, and for the implementation of the non-equidistant binning ...
doi:10.1088/1475-7516/2017/02/015
fatcat:ahjki2v6hrf53k3ej4sxxla6qa
On the performance of the variational multiscale formulation for subsurface flow and transport in heterogeneous porous media
[article]
2010
arXiv
pre-print
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of local mass balance for problems of less orthogonality in the permeability. ...
Numerical experiments are performed to show the degree to which mass conservation is violated when a flow field computed using either element is used as the advection velocity in a transport model. ...
The transport model consists of transient advection-diffusion equation wherein the advection velocity is given by the flow problem. 2.1. Governing equations for the flow problem. ...
arXiv:1012.3440v1
fatcat:45ly3c6ffjhwpbn7asiczazfju
A computational approach to flame hole dynamics using an embedded manifold approach
2015
Journal of Computational Physics
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We present a new numerical algorithm for tracking the evolution of flame holes in diffusion flames. ...
The key element is the solution of an evolution equation for a flame state field defined on a complex moving surface. ...
This modeling approach removes the need for detailed calculation of the advection-diffusion-reaction problem that is tightly coupled in the edge flame. ...
doi:10.1016/j.jcp.2015.04.037
fatcat:4vsy2yuijrcvxpj6haig3bo6cy
Osmosis for non-electrolyte solvents in permeable periodic porous media
2016
Networks and Heterogeneous Media
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The paper gives a rigorous description, based on mathematical homogenization theory, for flows of solvents with not charged solute particles under osmotic pressure for periodic porous media permeable for ...
The effective Darcy law contains an additional flux term representing the osmotic pressure. ...
The work of the first author was partially funded by SuMo Biomaterials, a VINN Excellence Center funded by Vinnova, Sweden. ...
doi:10.3934/nhm.2016005
fatcat:6l6imqo63fgzvbtnazezinwa6u
Variational multiscale method for nonequilibrium plasma flows
2014
Computer Methods in Applied Mechanics and Engineering
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An algebraic VMS Finite Element Method appropriate for the treatment of general TADR problems is presented. ...
The equations describing the plasma flow are treated in a monolithic approach as a transient-advective-diffusive-reactive (TADR) transport system. ...
(47) , represents a measure of scale separation (e.g., for an advective-diffusive problem, υ = (1 + Pe −1 ) −1 , and υ → 0 if diffusion dominates and υ → 1 if advection does). ...
doi:10.1016/j.cma.2014.09.001
fatcat:hpce6cgfsjbnhh6zwrdequhjle
Frontiers of chaotic advection
2017
Reviews of Modern Physics
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dynamics, which encompasses a range of applications with length scales ranging from micrometers to hundreds of kilometers, including systems as diverse as mixing and thermal processing of viscous fluids ...
This work reviews the present position of and surveys future perspectives in the physics of chaotic advection: the field that emerged three decades ago at the intersection of fluid mechanics and nonlinear ...
We thank the Lorentz Center for its financial support and the Lorentz Center staff for making the workshop a great success. ...
doi:10.1103/revmodphys.89.025007
fatcat:r4qm33uup5bobhnijyofvnq4ue
Design criteria for a printed tissue engineering construct: A mathematical homogenization approach
2009
Journal of Theoretical Biology
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a template for cartilaginous tissue growth. ...
One option with vast potential is to print strands of material in a 3D structure called a scaffold that imitates the real tissue structure; the strands are composed of gel seeded with cells and so provide ...
Acknowledgements This paper was conceived as an extension to a problem considered at the 7th Mathematics in Medicine Study Group [3] , held at the University of Southampton in September 2007, with funding ...
doi:10.1016/j.jtbi.2009.03.037
pmid:19361531
fatcat:uivjvzeb7fatxgms36bfzfx26u
A comparison between the discontinuous galerkin method and the high resolution wave propagation method for the full two-fluid plasma system
2006
The 33rd IEEE International Conference on Plasma Science, 2006. ICOPS 2006. IEEE Conference Record - Abstracts.
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nd order RKDG with characteristics based limiters (blue), 2 nd order RKDG with component based limiters (black), and 3 rd order RKDG (green) for the strain at time t=40 based on the converged result with ...
This section involves a comparison of the two algorithms for an application of the Full Two-Fluid Plasma Model -the Radial Z-Pinch Equilibrium problem. 6.3.1 Description of Problem Chapter 5 describes ...
doi:10.1109/plasma.2006.1707204
fatcat:mw32hnqk4zb3fpfmurp3zfb6m4
A Spectral Model of Bubble Convection
1971
Journal of the Atmospheric Sciences
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Two models 'are constructed -an axisymmetric model and a quasi-three-dimensional model. ...
Two models are constructed an axisymmetric model and a quasi-three-dimensional model. ...
A run using the 16 x 16 model with a similar diffusion formulation confirmed this suspicion. ...
doi:10.1175/1520-0469(1971)028<0933:asmobc>2.0.co;2
fatcat:pojgml7givgotegew4wmlaxbgq
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