Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Benjamin F. Akers"'
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 11 (2024)
Using non-linear force free field (NLFFF) extrapolation, 3D magnetic fields were modeled from the 12-min cadence Solar Dynamics Observatory Helioseismic and Magnetic Imager (HMI) photospheric vector magnetograms, spanning a time period of 1 hour befo
Externí odkaz:
https://doaj.org/article/a0fc0ce602dc4cfb830bb891ddcccd41
Publikováno v:
Mathematics, Vol 12, Iss 17, p 2784 (2024)
A numerical method for evolving the nonlinear Schrödinger equation on a coarse spatial grid is developed. This trains a neural network to generate the optimal stencil weights to discretize the second derivative of solutions to the nonlinear Schrödi
Externí odkaz:
https://doaj.org/article/719737950238447491241ef8cd5a7428
Publikováno v:
Frontiers in Astronomy and Space Sciences, Vol 10 (2023)
The coronal magnetic field over NOAA Active Region 11,429 during a X5.4 solar flare on 7 March 2012 is modeled using optimization based Non-Linear Force-Free Field extrapolation. Specifically, 3D magnetic fields were modeled for 11 timesteps using th
Externí odkaz:
https://doaj.org/article/3bca5713119844e8b32ae49e60f58853
Publikováno v:
Mathematics, Vol 11, Iss 13, p 2791 (2023)
A machine learning procedure is proposed to create numerical schemes for solutions of nonlinear wave equations on coarse grids. This method trains stencil weights of a discretization of the equation, with the truncation error of the scheme as the obj
Externí odkaz:
https://doaj.org/article/8f9ced1642114e998a948d57660a7618
Autor:
Jeremiah S. Lane, Benjamin F. Akers
Publikováno v:
Fluids, Vol 6, Iss 12, p 425 (2021)
This research investigates laser-induced convection through a stream function-vorticity formulation. Specifically, this paper considers a solution to the steady Boussinesq Navier–Stokes equations in two dimensions with a slip boundary condition on
Externí odkaz:
https://doaj.org/article/86b150237ea74d25be5d35722121c157
Autor:
Benjamin F. Akers, David P. Nicholls
Publikováno v:
Water Waves. 3:491-511
In this contribution, we prove that small amplitude, resonant harmonic, spatially periodic traveling waves (Wilton ripples) exist in a family of weakly nonlinear PDEs which model water waves. The proof is inspired by that of Reeder and Shinbrot (Arch
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7207c5fec7777aefbd4801e40d8ce67b
https://doi.org/10.1007/s42286-021-00052-2
https://doi.org/10.1007/s42286-021-00052-2
Autor:
David M. Ambrose, Benjamin F. Akers
Publikováno v:
ANZIAM Journal. 63:58-69
We present an efficient, accurate computational method for a coordinate-free model of flame front propagation of Frankel and Sivashinsky. This model allows for overturned flames fronts, in contrast to weakly nonlinear models such as the Kuramoto–Si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cc7c6fc94fb4b54c655bbb663208411
https://doi.org/10.21914/anziamj.v63.15970
https://doi.org/10.21914/anziamj.v63.15970
Publikováno v:
Applied Optics. 62:G77
The propagation of a high energy laser through a nearly stagnant absorbing medium is studied. The absorption values and time scale of the problem are such that the laser induces convective heat currents transverse to the beam. These currents couple t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2445d5dfe9a0cdae008ef177fd555c0c
https://doi.org/10.1364/ao.487903
https://doi.org/10.1364/ao.487903
Autor:
David P. Nicholls, Benjamin F. Akers
Publikováno v:
Water Waves. 3:25-47
Traveling waves on the surface of the ocean play an important role in many oceanographic processes which necessitates a detailed quantitative understanding of their properties. The water wave equations, which govern the free-surface evolution of an i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0476ecd67f987709ac3419beb80e012a
https://doi.org/10.1007/s42286-020-00034-w
https://doi.org/10.1007/s42286-020-00034-w
Publikováno v:
Applied Optics. 62:2092
This work investigates steady-state thermal blooming of a high-energy laser in the presence of laser-driven convection. While thermal blooming has historically been simulated with prescribed fluid velocities, the model introduced here solves for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccd3a1d5f78d4b7fd931be001ede516f
https://doi.org/10.1364/ao.484224
https://doi.org/10.1364/ao.484224