This contribution considers the influence of stratification on laminar and incompressible flow. As a test problem, 2D and 3D cavity flow is modeled and the results compared with those published previously. The influence of stratification is also examined in the case of 2D flow past an obstacle located inside a channel. The flow and intensity of stratification are characterized by the Reynolds number Re and the Froude number Fr, respectively. The Froude number, which determines the stability of the stratified flow (the ratio of buoyancy to the inertia force), is the inverse of the Richardson number Ri. For Ri of 0.1-10.0, both buoyancy and inertia forces contribute to the flow structure, and the flow can be considered as mixed convection. The employed model consists of the Navier-Stokes equations with the Boussinesq approximation, the continuity equation in the form for incompressible fluid flow, and the prognostic equation for fluctuations in potential temperature. Conservative high-order methods are used...