SINOPSIS

A new approach, Characteristic Convective with Monotonic Conservation scheme (CCMC), is proposed in modeling of the advective transport equation. The procedures of the method in solving the pure one-dimensional convective equation are presented. With the construction of the convective characteristic curves for slope and curvature of the convective interpolation in the control volume, these two curves provide a tool to construct the more accurate convective interpolation without phase angle shift. A set of bench-mark problems, including three critical test profiles is used to exam the new scheme.