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A simple mass conserving semi-Lagrangian scheme for transport problems

✍ Scribed by M. Zerroukat

Book ID
108165305
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
424 KB
Volume
229
Category
Article
ISSN
0021-9991

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πŸ“œ SIMILAR VOLUMES

Completely Conservative and Oscillationl
Completely Conservative and Oscillationless Semi-Lagrangian Schemes for Advection Transportation
✍ Feng Xiao; Takashi Yabe πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 167 KB

In this paper, we present a new type of semi-Lagrangian scheme for advection transportation equation. The interpolation function is based on a cubic polynomial and is constructed under the constraints of conservation of cell-integrated average and the slope modification. The cell-integrated average

Coupling a mass-conserving semi-Lagrangi
Coupling a mass-conserving semi-Lagrangian scheme (SLICE) to a semi-implicit discretization of the shallow-water equations: Minimizing the dependence on a reference atmosphere
✍ J. Thuburn; M. Zerroukat; N. Wood; A. Staniforth πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 379 KB

## Abstract In a recent paper, a conservative semi‐Lagrangian mass transport scheme SLICE has been coupled to a semi‐implicit semi‐Lagrangian scheme for the shallow‐water equations. The algorithm involves the solution at each timestep of a nonlinear Helmholtz problem, which is achieved by iterative