Simulation is a powerful tool to study polygenic trait adaptation under the influence of complex evolutionary forces. Here, we implement a forward-in-time population-genetic simulation package based on Wright-Fisher dynamics. In this package, we assume that haploid recombining populations use standing genetic variation to adapt to a sudden environmental change, exposing the population to a new fitness landscape. The fitness landscapes can contain any level of epistasis. We offer out-of-the-box implementations for five fitness landscape models. In addition, our package allows for the specification of any custom fitness landscapes and recombination maps. Availability and implementation: STUN is implemented in Rust. Its source code is available at https://github.com/banklab/STUN, which also includes a link to the software's manual and binary files for Linux, macOS and Windows.