Conservative, shock-capturing transport methods with nonconservative velocity approximations

摘要: Conservative high-resolution, or shock-capturing, methods have become widely used for modeling transport equations described by conservation laws. In many geoscience applications, the equation is coupled to a continuity velocity field. Depending on how approximated, may not be satisfied, either locally globally. this paper, we discuss effect has typical high resolution scheme, and propose correction which accounts fact that nonconservative. We present several numerical examples prove stability bounds an priori error estimate corrected method.