  Weak gravitational lensing has the potential to constrain cosmological
parameters to high precision. However, as shown by the Shear TEsting Programmes
(STEP) and GRavitational lEnsing Accuracy Testing (GREAT) Challenges, measuring
galaxy shears is a nontrivial task: various methods introduce different
systematic biases which have to be accounted for. We investigate how pixel
noise on the image affects the bias on shear estimates from a
Maximum-Likelihood forward model-fitting approach using a sum of co-elliptical
S\'{e}rsic profiles, in complement to the theoretical approach of an an
associated paper. We evaluate the bias using a simple but realistic galaxy
model and find that the effects of noise alone can cause biases of order 1-10%
on measured shears, which is significant for current and future lensing
surveys. We evaluate a simulation-based calibration method to create a bias
model as a function of galaxy properties and observing conditions. This model
is then used to correct the simulated measurements. We demonstrate that this
method can effectively reduce noise bias so that shear measurement reaches the
level of accuracy required for estimating cosmic shear in upcoming lensing
surveys.
