Well-balanced central schemes for pollutants transport in shallow water equations

Autor: M. A. Saleh, R. Touma

Publikováno v: Mathematics and Computers in Simulation. 190:1275-1293

We present a new one-dimensional hybrid second-order accurate well-balanced unstaggered central scheme/particle method (WBUCS-P) for computing the transport of pollutant in water flows. The shallow water equations are employed to model the free-surfa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8286231a5f7b47b2286354df94bd8d11
https://doi.org/10.1016/j.matcom.2021.07.021

Well-balanced central schemes for the one and two-dimensional Euler systems with gravity

Autor: Christian Klingenberg, F. Kanbar, R. Touma

Publikováno v: Applied Numerical Mathematics. 156:608-626

In this paper we develop a family of central schemes for the one and two-dimensional systems of Euler equations with gravitational source term. The proposed schemes are unstaggered, second-order, central finite volume schemes that avoid solving Riema

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::30894007b98ac131798a39539e10c4f7
https://doi.org/10.1016/j.apnum.2020.05.010

Laplace surface dynamics, revisited: satellites, exoplanets, and debris with distant, eccentric companions

Autor: Mohammad A. Farhat, Jihad R. Touma

Publikováno v: Monthly Notices of the Royal Astronomical Society
Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P-Oxford Open Option A, 2021, 507 (4), pp.6078-6093. ⟨10.1093/mnras/stab2490⟩
Monthly Notices of the Royal Astronomical Society, 2021, 507 (4), pp.6078-6093. ⟨10.1093/mnras/stab2490⟩

To date, studies of $\textit{Laplace Surface}$ dynamics have concerned themselves with test particle orbits of fixed shape and orientation in the combined field of an oblate central body (to which the particle is bound) and a distant, inclined, compa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::728862406a616a5fbb0ccccdace1ae2c
https://hal.archives-ouvertes.fr/hal-03468379

Unexpected stray attractors in confined leader-follower dynamics driven by cone-of-vision interactions

Autor: Amara A. Al-Sayegh, Leonid I. Klushin, Sara Najem, Jihad R. Touma

Publikováno v: Scientific Reports, Vol 9, Iss 1, Pp 1-11 (2019)
Scientific Reports

Experiments with groups of fish inside a circular tank have provided valuable insights into the nature of leadership in social groups. Sophisticated mathematical models were constructed with a view to recovering observed schooling and leadership beha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c61e6314b8e58f44dd771118d271e859
http://link.springer.com/article/10.1038/s41598-018-37457-y

An unstaggered central finite volume method for the numerical approximation of mixture flows

Autor: Dia Zeidan, R. Touma

Publikováno v: INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019.

In this work we extend a previously developed unstaggered central finite volume method to the one-dimensional system of mixture two-phase flow problems. The numerical scheme is characterized by its simplicity and robustness as it evolves a piecewise

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::60bd0483b15e30925b2ff4b17a149777
https://doi.org/10.1063/5.0027074