WENO schemes generally require a significant large numerical dissipation to control the appearance of Gibbs oscillations around a discontinuity in order to capture a shock essentially oscillations free in the numerical solution of nonlinear conservation laws. The amount of numerical dissipation should be greatly reduced in the smooth region to improve the resolution of small scales structures like those appear in a compressible turbulence simulation involving shocks but just sufficient to maintain the stability of the numerical scheme in a long time simulation. Several temporal and spatial self-adjusted numerical dissipation techniques, that are based on either the physical structure of the problem or the numerical structure of the solution, are designed to enhance the robustness and efficiency of the WENO schemes. The performance of the improved WENO schemes with adaptive numerical dissipation for solving hyperbolic conservation laws are illustrated with several one-dimensional and two-dimensional benchmark problems with shocks. These are the joint work with Prof. Kurganov and Dr. Garg at SUSTech, and students (B. S. Wang, Y. H Wang and K. B. Tian) at OUC.