  We present a high-order method for flow simulation on unstructured curved
nonconforming sliding meshes. This method utilizes dynamic transfinite mortar
elements to exchange flow information between the two sides of a sliding
interface. The method is arbitrarily high-order accurate in space, provably
conservative, and satisfies outflow condition. Moreover, it retains the
accuracy of a time marching scheme, and thus allows substantial reduction of
rotational speed effects when equipped with a high-order temporal scheme. The
method's capability of simultaneously handling multiple rotational objects is
also explored. Details on the implementation are provided as well.
