Zobrazeno 1 - 10
of 2 019
pro vyhledávání: '"well-balanced scheme"'
Autor:
Arun, K. R., Ghorai, Rahuldev
We design and analyse an energy stable, structure preserving and well-balanced scheme for the Ripa system of shallow water equations. The energy stability of the numerical solutions is achieved by introducing appropriate stabilisation terms in the di
Externí odkaz:
http://arxiv.org/abs/2410.20732
Autor:
Michel-Dansac, Victor, Thomann, Andrea
The present work concerns the derivation of a fully well-balanced Godunov-type finite volume scheme for the Euler equations with a gravitational potential based on an approximate Riemann solver. It is an extension to general equations of states of th
Externí odkaz:
http://arxiv.org/abs/2410.19710
The present work concerns the derivation of a numerical scheme to approximate weak solutions of the Euler equations with a gravitational source term. The designed scheme is proved to be fully well-balanced since it is able to exactly preserve all mov
Externí odkaz:
http://arxiv.org/abs/2406.15051
Autor:
Arun, K. R., Kar, Mainak
We design and analyse an energy stable, structure preserving, well-balanced and asymptotic preserving (AP) scheme for the barotropic Euler system with gravity in the anelastic limit. The key to energy stability is the introduction of appropriate velo
Externí odkaz:
http://arxiv.org/abs/2405.00559
Autor:
Goudon, Thierry1 Sebastian.MINJEAUD@unice.fr, Minjeaud, Sebastian1 Sebastian.MINJEAUD@unice.fr
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Jul/Aug2024, Vol. 58 Issue 4, p1263-1299. 37p.
Numerical methods for the Euler equations with a singular source are discussed in this paper. The stationary discontinuity induced by the singular source and its coupling with the convection of fluid presents challenges to numerical methods. We show
Externí odkaz:
http://arxiv.org/abs/2203.05868
The design and analysis of a unified asymptotic preserving (AP) and well-balanced scheme for the Euler Equations with gravitational and frictional source terms is presented in this paper. The asymptotic behaviour of the Euler system in the limit of z
Externí odkaz:
http://arxiv.org/abs/2106.00498
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 77, Pp 267-284 (2024)
In this work, we consider the numerical approximation of the two-species Vlasov-Poisson system using Eulerian methods. A family of exact non homogeneous stationary solutions are constructed using elliptic functions. Then, specific numerical schemes a
Externí odkaz:
https://doaj.org/article/c54bf4102a8c4223bd1d179c4714c278
Publikováno v:
Journal of Glaciology, Vol 69, Pp 1646-1662 (2023)
A common technique for simulating non–Newtonian fluid dynamics, such as snow avalanches, is to solve the Shallow Water Equations (SWE), together with a rheological model describing the momentum dissipation by shear stresses. Friction and cohesion t
Externí odkaz:
https://doaj.org/article/714943a014504c558ef61a3b2b4f6aa9
Autor:
Desveaux, Vivien, Masset, Alice
The present work is devoted to the derivation of a fully well-balanced and positivepreserving numerical scheme for the shallow water equations with Coriolis force. The first main issue consists in preserving all the steady states, including the geost
Externí odkaz:
http://arxiv.org/abs/2105.08357