  An elegant and uniform relaxation-rate formula is presented for the entropic
lattice Boltzmann method (ELBM). The formula not only guarantees the discrete
time H-theorem at numerical level but also gives full consideration to the
consistency with hydrodynamics. With this novel formula, the computational cost
of the ELBM is significantly reduced and the method now can be efficiently used
for a broad range of hydrodynamics applications including high Renolds number
flows. Moreover, we demonstrate that the grid points where flow fields change
drastically are effectively marked by the formula.
