This dataset contains the numerical simulations carried over to characterize a pico-hydraulic turbine designed with a novel non-dimensional approach [1,2]. The mesh used was based on a previous mesh study [3]. The medium mesh MS1 was selected for the simulations. The simulations were made with OpenFOAMv8 open-source library using simpleFoam steady state application with multiple reference frames. Simulations where carried over for two rotor blade tip gaps and for two angular speed regimes. Main simulations results folders are: picoTurbineExCase/sim/results/gap05/curve/1000 picoTurbineExCase/sim/results/gap05/curve/2000 picoTurbineExCase/sim/results/gap02/curve/1000 Where gap0X folders refers to the geometry where the blade tip gap is 0.Xmm and the number on folders "1000" and "2000" refers to the angular speed in revolutions per minute. On the meshSummary.org file a summary of the mesh characteristics is given. [1] Abraham Vivas, A. Viedma & A. S. Kaiser. (2021). In-pipe axial pico-hydraulic tailored turbine design: A novel approach using a dimensionless design chart. Energy Conversion and Management, 250, p.114884. https://doi.org/10.1016/j.enconman.2021.114884 [2] Abraham Vivas, & Antonio Viedma. (2021, May 2). Literate code of a novel approach to dimensionless design of tailored in-pipe pico-hydraulic turbines (Version v1.0). Zenodo. http://doi.org/10.5281/zenodo.4732832 [3] Abraham Vivas, & Antonio Sánchez Kaiser. (2021). Discretization uncertainty and numerical validation of a pico-hydraulic counter rotating turbine [Data set]. Zenodo. http://doi.org/10.5281/zenodo.4730962