Barotropic and baroclinic oscillations typical of the spring period have been studied based on the three-dimensional thermohydrodynamic model of the Black Sea. This season can be considered transient between the termination of the effect of strong winter winds and the onset of seasonal thermocline formation. The three-dimensional numerical model with a free surface and boundary conditions, corresponding to the real wind field for April 2006 and to the heat and salt flows on the surface, has been used. The horizontal and vertical spatial resolutions of the model are 1.5 km and 27 levels, respectively; the time discreteness is 1 h. This makes it possible to perform detailed modeling in the South Coastal Crimean sea sector. The spatial-time structure of the level, kinetic energy, and temperature fields has been studied using the spectral analysis method. The maximal energy-carrying frequency has been interpreted. Manifestations of Poincare and Kelvin waves, as well as captured shelf waves, have been distinguished in the submesoscale spectral region. A comparison with previous studies has been performed. It is indicated that the stratification variability caused by synoptic processes affects spectral characteristics of wave processes on smaller scales, making its contribution to the Black Sea water mixing.