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We assumed two-dimensional advection-diffusion equation to be a basic equation and aimed to inspect the applicability of CIP method with tangent conversion through two benchmark problems. On the Skew Flow problem, we got superior results that CIP method with tangent conversion could catch a discontinuous border sharply without causing numerical oscillation. On the other hand, on the Rotating Cone problem, we got good results on the short time simulation but in the case of long time rotating cone velocity field CIP method with tangent conversion could not reproduce initial profile, so the room of improvement of the scheme is left.

APPLICABILITY TO TWO-DIMENSIONAL ADVECTION-DIFFUSION PROBLEM OF CIP METHOD WITH TANGENT CONVERSION