Zobrazeno 1 - 10
of 10 072
pro vyhledávání: '"Gregor, J"'
Free-stream preservation is an essential property for numerical solvers on curvilinear grids. Key to this property is that the metric terms of the curvilinear mapping satisfy discrete metric identities, i.e., have zero divergence. Divergence-free met
Externí odkaz:
http://arxiv.org/abs/2410.14502
Autor:
Doehring, Daniel, Christmann, Lars, Schlottke-Lakemper, Michael, Gassner, Gregor J., Torrilhon, Manuel
In this paper, we extend the Paired-Explicit Runge-Kutta schemes by Vermeire et. al. to fourth-order of consistency. Based on the order conditions for partitioned Runge-Kutta methods we motivate a specific form of the Butcher arrays which leads to a
Externí odkaz:
http://arxiv.org/abs/2408.05470
Mars, Venus and Earth are expected to have started in a hot molten state. Here, we discuss how these three terrestrial planets diverged in their evolution and what mechanisms could be the cause. We discuss that early-on after magma ocean crystallizat
Externí odkaz:
http://arxiv.org/abs/2404.09420
Autor:
Gillmann, Cedric, Arney, Giada N., Avice, Guillaume, Dyar, M. D., Golabek, Gregor J., Gülcher, Anna J. P., Johnson, Natasha M., Lefevre, Maxence, Widemann, Thomas
After decades of relative neglect, interest in Venus surges anew in the planetary science community and the public. New missions are planned and selected, and will pave the way to the decade of Venus, as new observations allow us to uncover some of t
Externí odkaz:
http://arxiv.org/abs/2404.07669
Autor:
Franits, Wayne1 (AUTHOR) wefranit@syr.edu
Publikováno v:
Renaissance Studies. Sep2023, Vol. 37 Issue 4, p609-620. 12p.
In this paper, we apply the Paired-Explicit Runge-Kutta (P-ERK) schemes by Vermeire et. al. (2019, 2022) to dynamically partitioned systems arising from adaptive mesh refinement. The P-ERK schemes enable multirate time-integration with no changes in
Externí odkaz:
http://arxiv.org/abs/2403.05144
In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We start by performing a continuous entropy analysis of the ideal multi-io
Externí odkaz:
http://arxiv.org/abs/2402.14615
A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge-Kutta methods is devised. Intended for semidiscretizations of hyperbolic partial differential equations, the herein developed approach allows the
Externí odkaz:
http://arxiv.org/abs/2402.12140
Autor:
Ranocha, Hendrik, Winters, Andrew R., Schlottke-Lakemper, Michael, Öffner, Philipp, Glaubitz, Jan, Gassner, Gregor J.
Publikováno v:
Journal of Computational Physics, 2024
We use the framework of upwind summation-by-parts (SBP) operators developed by Mattsson (2017, doi:10.1016/j.jcp.2017.01.042) and study different flux vector splittings in this context. To do so, we introduce discontinuous-Galerkin-like interface ter
Externí odkaz:
http://arxiv.org/abs/2311.13888
Autor:
Jyotirmoy Paul, Gregor J. Golabek, Antoine B. Rozel, Paul J. Tackley, Tomoo Katsura, Hongzhan Fei
Publikováno v:
Progress in Earth and Planetary Science, Vol 11, Iss 1, Pp 1-25 (2024)
Abstract Recent experimental investigations of grain size evolution in bridgmanite-ferropericlase assemblages have suggested very slow growth for these bimodal phases. Despite numerous speculations on grain size-dependent viscosity, a comprehensive t
Externí odkaz:
https://doaj.org/article/184d163a68c947a689361c5e4f63dec6