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- Matania Ben-Artzi, Joseph Falcovitz, Philippe G. LeFloch
- J. Comput. Physics
- 2009

We consider entropy solutions to the initial value problem associated with scalar nonlinear hyperbolic conservation laws posed on the two-dimensional sphere. We propose a finite volume scheme which relies on a web-like mesh made of segments of longitude and latitude lines. The structure of the mesh allows for a discrete version of a natural geometric… (More)

- A Birman, N Y Har 'el, J Falcovitz, M Ben-Artzi, U Feldman
- 2000

A finite-difference approximation for the 3-D fluid dynamical equations in Cartesian coordinates is obtained by operator-splitting based on the 1-D GRP scheme. The shock capturing capability of the 3-D scheme is examined using a spherically symmetric test problem, where a converging fluid is brought to rest by a single shock wave. The 3-D solution is found… (More)

- Amnon Birman, Joseph Falcovitz
- J. Comput. Physics
- 2007

- Matania Ben-Artzi, Joseph Falcovitz, Uri Feldman
- SIAM J. Scientific Computing
- 2000

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