Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Christiane Helzel"'
Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles
Autor:
Sina Dahm, Christiane Helzel
Publikováno v:
Multiscale Modeling & Simulation. 20:1002-1039
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::afce26375e7f436ce5cb605841022804
https://doi.org/10.1137/21m1464592
https://doi.org/10.1137/21m1464592
Publikováno v:
Journal of Scientific Computing. 94
We present the first implementation of the Active Flux method on adaptively refined Cartesian grids. The Active Flux method is a third order accurate finite volume method for hyperbolic conservation laws, which is based on the use of point values as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66c76cab2ac26ae500a2b39bc2779a36
https://doi.org/10.1007/s10915-023-02106-8
https://doi.org/10.1007/s10915-023-02106-8
Autor:
Christiane Helzel
Publikováno v:
Communications on Applied Mathematics and Computation. 2:403-427
We extend LeVeque’s wave propagation algorithm, a widely used finite volume method for hyperbolic partial differential equations, to a third-order accurate method. The resulting scheme shares main properties with the original method, i.e., it is ba
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1c7e0cd27ae5ac037335e8d1bc5cb52d
https://doi.org/10.1007/s42967-019-00056-3
https://doi.org/10.1007/s42967-019-00056-3
Publikováno v:
Journal of Scientific Computing. 80:1463-1497
We study numerical methods that are inspired by the active flux method of Eymann and Roe and present several new results for one and two-dimensional hyperbolic problems. For one-dimensional linear problems we show that the unlimited active flux metho
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eb0e79dcc04db594820d2ae0e5ae2792
https://doi.org/10.1007/s10915-019-00988-1
https://doi.org/10.1007/s10915-019-00988-1
Autor:
Christiane Helzel, David Kerkmann
Publikováno v:
Finite Volumes for Complex Applications IX-Methods, Theoretical Aspects, Examples ISBN: 9783030436506
We present recent work in progress towards the development of a third order accurate Cartesian grid cut cell method for the approximation of hyperbolic conservation laws in complex geometries. Our cut cell method is based on the Active Flux method of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d1b147fef1c7b70f8276e0dcf4df380
https://doi.org/10.1007/978-3-030-43651-3_47
https://doi.org/10.1007/978-3-030-43651-3_47
Publikováno v:
Applied Mathematics and Computation. 393:125501
The primary contribution of this article is a linear stability analysis of the two-dimensional Cartesian grid Active Flux method. For the advection equation we show that stability for CFL ≤ 1 requires a more accurate flux computation than previousl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6960ce7f0ed35f2f1218ae64e6e614d
https://doi.org/10.1016/j.amc.2020.125501
https://doi.org/10.1016/j.amc.2020.125501
Publikováno v:
Physica D: Nonlinear Phenomena. 337:18-29
We consider a kinetic model, which describes the sedimentation of rod-like particles in dilute suspensions under the influence of gravity. This model has recently been derived by Helzel and Tzavaras in \cite{HT2015}. Here we restrict our consideratio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1eda93df88cc4eaf6e1380e3c20d1b8
https://doi.org/10.1016/j.physd.2016.07.004
https://doi.org/10.1016/j.physd.2016.07.004
Publikováno v:
Applied Mathematics and Computation. 272:460-478
We present a WENO finite volume method for the approximation of hyperbolic conservation laws on adaptively refined Cartesian grids.On each single patch of the AMR grid, we use a modified dimension-by-dimension WENO method, which was recently develope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::648ae22860653fa9f89ff3d27943ad1c
https://doi.org/10.1016/j.amc.2015.03.078
https://doi.org/10.1016/j.amc.2015.03.078
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783319915449
We give a brief review of our recently proposed WENO finite volume method for Cartesian grids (Buchmuller, Helzel, J Sci Comput, 61:343–368, 2014, [3]), (Buchmuller et al. Appl Math Comput, 272:460–478, 2016, [4]), which increases the accuracy of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6ce0d1a7732a853dba5aeddfad50fc7d
https://doi.org/10.1007/978-3-319-91545-6_21
https://doi.org/10.1007/978-3-319-91545-6_21
Publikováno v:
SIAM Journal on Scientific Computing. 35:A623-A651
Numerical methods for solving the ideal magnetohydrodynamic (MHD) equations in more than one space dimension must confront the challenge of controlling errors in the discrete divergence of the magnetic field. One approach that has been shown successf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49f91bab8638e6e25f8460611b842926
https://doi.org/10.1137/120870323
https://doi.org/10.1137/120870323