The excitation and vertical propagation of gravity waves is simulated in a two-dimensional model of a mesoscale convective storm. It is shown that in a simulated squall line the gravity waves that are preferentially excited are those propagating opposite to the direction of motion of the storm. Solutions for cases with differing stratospheric mean zonal flow profiles are compared. It turns out that, in the absence of storm-relative mean winds in the stratosphere, the primary mode of excitation of gravity waves is by mechanical forcing owing to oscillatory updrafts. The stratospheric response consists of waves whose periods match the primary periods of the forcing. Owing to the tendency of the oscillating updrafts to propagate toward the rear of the storm, gravity wave propagation is limited primarily to the rearward direction, and there is a net downward momentum transport. When storm-relative mean winds are included in the model the waves excited by the oscillating updrafts are weaker, but a new... Abstract The excitation and vertical propagation of gravity waves is simulated in a two-dimensional model of a mesoscale convective storm. It is shown that in a simulated squall line the gravity waves that are preferentially excited are those propagating opposite to the direction of motion of the storm. Solutions for cases with differing stratospheric mean zonal flow profiles are compared. It turns out that, in the absence of storm-relative mean winds in the stratosphere, the primary mode of excitation of gravity waves is by mechanical forcing owing to oscillatory updrafts. The stratospheric response consists of waves whose periods match the primary periods of the forcing. Owing to the tendency of the oscillating updrafts to propagate toward the rear of the storm, gravity wave propagation is limited primarily to the rearward direction, and there is a net downward momentum transport. When storm-relative mean winds are included in the model the waves excited by the oscillating updrafts are weaker, but a new...