Learn More
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 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)
  • 1