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A three-dimensional finite-volume MHD solver in non-orthogonal curvilinear geometry: GAMERA, a reinvention of LFM [article]

Binzheng Zhang, Kareem A. Sorathia, John G. Lyon, Viacheslav G. Merkin, Michael Wiltberger
2018 arXiv   pre-print
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

Eli Livne, Luc Dessart, Adam Burrows, Casey A. Meakin
2007 Astrophysical Journal Supplement Series  
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

Vivek Jaiswal, Raghvendra Kumar Dwivedi, A. R. Harikrishnan, Purbarun Dhar
2018 Physical review. E  
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

A. Mignone, G. Bodo, S. Massaglia, T. Matsakos, O. Tesileanu, C. Zanni, A. Ferrari
2007 Astrophysical Journal Supplement Series  
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

W. J. Massman, J. M. Frank
2006 Journal of Geophysical Research  
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]

Rony Keppens, Jannis Teunissen, Chun Xia, Oliver Porth
2020 arXiv   pre-print
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

Carmelo Evoli, Daniele Gaggero, Andrea Vittino, Giuseppe Di Bernardo, Mattia Di Mauro, Arianna Ligorini, Piero Ullio, Dario Grasso
2017 Journal of Cosmology and Astroparticle Physics  
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]

D. Z. Turner, K. B. Nakshatrala, P. K. Notz
2010 arXiv   pre-print
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

R. Knaus, C. Pantano
2015 Journal of Computational Physics  
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

Alexei Heintz, Andrey Piatnitski
2016 Networks and Heterogeneous Media  
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

Juan Pablo Trelles, S. Mahnaz Modirkhazeni
2014 Computer Methods in Applied Mechanics and Engineering  
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

Hassan Aref, John R. Blake, Marko Budišić, Silvana S. S. Cardoso, Julyan H. E. Cartwright, Herman J. H. Clercx, Kamal El Omari, Ulrike Feudel, Ramin Golestanian, Emmanuelle Gouillart, GertJan F. van Heijst, Tatyana S. Krasnopolskaya (+11 others)
2017 Reviews of Modern Physics  
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

R.J. Shipley, G.W. Jones, R.J. Dyson, B.G. Sengers, C.L. Bailey, C.J. Catt, C.P. Please, J. Malda
2009 Journal of Theoretical Biology  
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

B. Srinivasan, A. Hakim, J. Loverich, U. Shumlak
2006 The 33rd IEEE International Conference on Plasma Science, 2006. ICOPS 2006. IEEE Conference Record - Abstracts.  
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

Roger Daley, Philip Merilees
1971 Journal of the Atmospheric Sciences  
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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