  Due to its innovative weighting method, the high-order target ENO (TENO)
system has shown tremendous potential for complicated flow prediction. For
unstructured meshes, we have developed non-oscillatory central target ENO
family schemes in this study. In comparison with standard WENO schemes, the
compact directional stencils significantly enhance the possibility that one of
them will be in smooth area. The scheme is inherently limited in size in order
to simplify the directional stencils in implementation. Following an effective
scale separation method, we employ the ENO-like stencil selection technique,
which selects candidate reconstructions from large central stencils in smooth
areas to enforce the ENO property and from small directional stencils at
discontinuities to restore high-order accuracy. With the validation of a number
of test cases, a detailed comparison of CWENO, TENO, CTENO and CTENOZ schemes
was carried out to assess their performance based on accuracy, robustness,
parallel scalability and run time. Our findings demonstrate high-order
precision, lower numerical dissipation, and superior sharp shock-capturing
performance of proposed CTENO and CTENOZ schemes.
