A family of high order TENO (targeted ENO) schemes has been proposed by Fu et al. [JCP 305 (2016): 333-359] [JCP 349 (2017): 97-121]. In this talk, the key concept of TENO schemes and the differences between TENO and WENO will be addressed, as well as the framework to construct arbitrarily high-order TENO reconstruction. Then, he will introduce the method to optimize and control numerical dispersion and dissipation separately. Thirdly, the TENO schemes capable of capturing shocks and resolving incompressible and compressible turbulence as an implicit LES model will be outlined. At last, he will summarize the wave-resolution property, shock-capturing capability, numerical robustness and the computational efficiency of TENO schemes.