ENO finite volume method for unstructured triangular mesh

The third order essentially nonoscillatory scheme (ENO) finite volume method for the hyperbolic conservation laws on unstructured triangular mesh was introduced. In order to obtain the third order accuracy on spatial discretization, the weighted quadratic interpolation polynomial was constructed on every triangular mesh. The two point Gauss integration formula was also used on each edge of every triangular mesh and the third order total variation diminishing (TVD) Runge-Kutta method was used for time discretization. The numerical results have shown that the numerical order of the method approaches to three.