Efficient construction of high‐resolution TVD conservative schemes for equations with source terms: application to shallow water flows
By Javier Burguete, Pilar García-Navarro. 2001
135 citations recorded by the source corpus.
Subfields: Atmospheric Science, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/22bc6fa7925da71de5d611accf5461e37c695bd8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atmospheric Science
- Sam S. Y. Wang
- Xinya Ying
- T. Sun
- Sergio Fagherazzi
- Eleuterio F. Toro
- Pilar García-Navarro
- Michael Dumbser
In Computational Mechanics
- Pilar García-Navarro
- Sam S. Y. Wang
- Xinya Ying
- T. Sun
- Sergio Fagherazzi
- Eleuterio F. Toro
- Michael Dumbser
- Vladimir A. Titarev
Citations in the corpus
- Numerical simulations of transportational cyclic steps (2003, methodology): “Even though more accurate techniques are already available for the study of hydraulic jumps, based on second order shock-capturing methods (Burguete and Garcia-Navarro, 2001; LeVeque, 1992), herein a first order scheme is utilized for its simplicity, robustness, and for the absence of spurious…”
- Godunov-type methods for free-surface shallow flows: A review (2007, background): “…12 = ( H′ − J U x ) i+ 12 (31) where the last equality has to be taken as a key requirement for the correct definition of the discrete source term decomposition (Burguete and Garcia-Navarro, 2001) and G± = P 1 ± signλ1 2 0 0 1 ± signλ2 2 P−1G (32) Making an implicit or semi-implicit treatment…”
- Friction term discretization and limitation to preserve stability and conservation in the 1D shallow‐water model: Application to unsteady irrigation and river flow (2008, background): “A general conservative scheme with unified discretization can be expressed as [9, 10, 15]: (1 − θ∆tKi )∆ui = ∆t (”
- Improved implementation of the HLL approximate Riemann solver for one-dimensional open channel flows (2008, methodology): “Ces nouvelles techniques incluent : (1) l’adoption de la forme des équations de Saint-Venant qui rassemblent la pesanteur et la pression dans un seul terme source ; (2) l’utilisation du niveau de la surface libre, plutôt que de la section transversale, comme l’une des variables primitives; (3) la dé”