Some notes on summation by parts time integration methods

Autor: Hendrik Ranocha

Publikováno v: Results in Applied Mathematics, Vol 1, Iss , Pp - (2019)

Some properties of numerical time integration methods using summation by parts (SBP) operators and simultaneous approximation terms are studied. These schemes can be interpreted as implicit Runge-Kutta methods with desirable stability properties such

Externí odkaz: https://doaj.org/article/d44cf667332b41dab1d5ffb47d8fde8f

On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics

Autor: Hendrik Ranocha, Andrew R. Winters, Hugo Guillermo Castro, Lisandro Dalcin, Michael Schlottke-Lakemper, Gregor J. Gassner, Matteo Parsani

Publikováno v: Communications on Applied Mathematics and Computation.

We study a temporal step size control of explicit Runge-Kutta (RK) methods for compressible computational fluid dynamics (CFD), including the Navier-Stokes equations and hyperbolic systems of conservation laws such as the Euler equations. We demonstr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9dbc08f731ee7f62b5977828d6ec199a
https://doi.org/10.1007/s42967-023-00264-y

Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov–Gerasimenko

Autor: Pierre Henri, Hendrik Ranocha, Sang A. Park, Bruce T. Tsurutani, Philip Heinisch, C. Goetz, Karl-Heinz Glassmeier, Ingo Richter, Katharina Ostaszewski, Martin Rubin

Publikováno v: Annales Geophysicae, Vol 39, Pp 721-742 (2021)
Annales geophysicae 39 (2021) p. 721–742.-https://doi.org/10.5194/angeo-39-721-2021--Ann. Geophysicae--0755-0685
Annales Geophysicae
Annales Geophysicae, European Geosciences Union, 2021, 39, pp.721-742. ⟨10.5194/angeo-39-721-2021⟩
Ostaszewski, Katharina; Glassmeier, Karl-Heinz; Goetz, Charlotte; Heinisch, Philip; Henri, Pierre; Park, Sang A.; Ranocha, Hendrik; Richter, Ingo; Rubin, Martin; Tsurutani, Bruce (2021). Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov–Gerasimenko. Annales geophysicae, 39(4), pp. 721-742. Copernicus Publications 10.5194/angeo-39-721-2021

We present a statistical survey of large-amplitude, asymmetric plasma and magnetic field enhancements detected outside the diamagnetic cavity at comet 67P/Churyumov–Gerasimenko from December 2014 to June 2016. Based on the concurrent observations o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b113df2856222495bd1d73e2edc3a8be
https://angeo.copernicus.org/articles/39/721/2021/angeo-39-721-2021.pdf

Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier–Stokes equations

Autor: Matteo Parsani, Hendrik Ranocha, Lisandro Dalcin

Publikováno v: Computers & Mathematics with Applications. 80:1343-1359

Recently, relaxation methods have been developed to guarantee the preservation of a single global functional of the solution of an ordinary differential equation. Here, we generalize this approach to guarantee local entropy inequalities for finitely

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::05895544ad525f17cb7db20cf79bec80
https://doi.org/10.1016/j.camwa.2020.06.016

Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators

Autor: Philip Heinisch, Katharina Ostaszewski, Hendrik Ranocha

Publikováno v: Communications on Applied Mathematics and Computation. 2:581-611

In this article, discrete variants of several results from vector calculus are studied for classical finite difference summation by parts operators in two and three space dimensions. It is shown that existence theorems for scalar/vector potentials of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45e5e0ce4fb3862ae02f43f67f67d7ab
https://doi.org/10.1007/s42967-019-00057-2