Abstract: In this paper, a class of second order accurate MmB (locally Maximum_minimumBounds preserving) schemes is constructed for initial value problems of 2_D nonlinearconservation laws on regular triangular meshes, and the numerical solutions for Riemann problems of 2_D inviscid Bergers eqution are given by using these schemes. The numerical results showthat the schemes have high resolution and nonoscillatory properties.

Key words: regula triangular meshes, 2_D nonlinear hyperbolic eguation, MmB differenceschemes