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The present work aims to develop a computational model investigating turbulent flows in a problem that simulates an oscillating water column device (OWC) considering a Savonius turbine in the air duct region. Incompressible, two-dimensional, unsteady, and turbulent flows were considered for three different configurations: (1) free turbine inserted in a long and large channel for verification/validation of the model, (2) an enclosure domain that mimics an OWC device with a constant velocity at its inlet, and (3) the same domain as that in <i>Case 2</i> with sinusoidal velocity imposed at the inlet. A dynamic rotational mesh in the turbine region was imposed. Time-averaged equations of the conservation of mass and balance of momentum with the <i>k</i>–<i>ω</i> Shear Stress Transport (SST) model for turbulence closure were solved with the finite volume method. The developed model led to promising results, predicting similar time–spatial-averaged power coefficients (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mrow><msub><mi>C</mi><mi>P</mi></msub></mrow><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula>) as those obtained in the literature for different magnitudes of the tip speed ratio (0.75 ≤ <i>λ</i> ≤ 2.00). The simulation of the enclosure domain increased <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mrow><msub><mi>C</mi><mi>P</mi></msub></mrow><mo stretchy="true">¯</mo></mover></mrow></semantics></math></inline-formula> for all studied values of <i>λ</i> in comparison with a free turbine (<i>Case 1</i>). The imposition of sinusoidal velocity (<i>Case 3</i>) led to a similar performance as that obtained for constant velocity (<i>Case 2</i>).