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Try this:

library(airGR)
example("RunModel_GR5H")
str(RunOptions) # Line ignored when all lines are copy-paste together. Don't know why
CalibOptions <- CreateCalibOptions(RunModel_GR5H)
OutputsCalib <- Calibration(InputsModel = InputsModel, RunOptions = RunOptions,
                                InputsCrit = InputsCrit, CalibOptions = CalibOptions,
                                FUN_MOD = RunModel_GR5H)

You get:

Grid-Screening in progress (0% 20% 40% 60% 80% 100%)
	 Screening completed (243 runs)
	     Param =   55.147,   -0.400,  228.149,   11.050,    0.126
	     Crit. NSE[Q]       = 0.0650
Steepest-descent local search in progress
	 Calibration completed (68 iterations, 913 runs)
	     Param =  451.901,   -0.494,  143.170,    3.555,    0.188
	     Crit. NSE[Q]       = 0.9184
There were 24 warnings (use warnings() to see them)

And then:

> warnings()
Warning messages:
1: In FUN_MOD(InputsModel = InputsModel, RunOptions = RunOptions,  ... :
  Param[4] (X4: unit hydrograph time constant [h]) < 0.50
 X4 set to 0.50
2: In FUN_MOD(InputsModel = InputsModel, RunOptions = RunOptions,  ... :
  Param[4] (X4: unit hydrograph time constant [h]) < 0.50
 X4 set to 0.50
...

I suppose that the bounds of the parameter should be correctly handled in the calibration to avoid this kind of warnings.