## 1 Introduction
Moreover, [PERSON] et al. [14] reported that the discharge coefficients were sensitive to wind direction, Reynolds number and the type of airflow, whereas external turbulence intensity played a negligible role. [PERSON] et al. [15] indicated that larger openings on either windward or leeward surfaces increased ventilation rates and promoted better interior air circulation. [PERSON] and [PERSON] [16] revealed that wind direction exerted a more pronounced influence on ventilation performance than opening size or location. When analyzing the cross-ventilation effectiveness of roof geometry and angle on isolated buildings, it was reported that a steeper roof pitch (30\({}^{\circ}\)) resulted in a significant increase in the pressure difference, especially for a shed roof orientated downwind [17]. [PERSON] et al. [12; 18; 19] stated that increasing roof inclination angles led to improved ventilation efficiency, with a 22% rise in volumetric flow rate for the 45\({}^{\circ}\) roof in comparison to a flat roof also convex-straight roof geometries significantly enhanced ventilation performance by increasing the under-pressure in the wake of building, causing a 13% increase in airflow compared to concave geometries. A number of studies were also undertaken in order to ascertain the performance of natural ventilation in relation to wind direction [11; 14; 16; 20; 21]. [PERSON] et al. [20] stated that ventilation flow rates increased for wind directions between 40\({}^{\circ}\) and 60\({}^{\circ}\) due to changesin dynamic pressure at the inlet. [PERSON] and [PERSON] [11] found that ventilation efficiency decreased as wind direction deviated from perpendicular, becoming independent of window dimensions beyond 45\({}^{\circ}\). [PERSON] et al. [21] revealed that wind incidence angle significantly affected ventilation performance, with perpendicular wind directions yielding higher air exchange rates. [PERSON] and [PERSON] [16] revealed that wind direction exerted a more pronounced influence on ventilation performance than opening size or location. [PERSON] and [PERSON] [22] stated that, in terms of turbulence models for predicting indoor airflow patterns, the k-\(\omega\) SST turbulence model demonstrated the optimal performance, followed by the RNG k-\(\epsilon\) model. [PERSON] et al. [23] demonstrated that Large Eddy Simulation (LES) provided superior accuracy, particularly in capturing transient features like jet flapping and shear instabilities, though at significantly higher computational costs. Among the Reynolds-averaged Navier-Stokes (RANS) models, the SST k-\(\omega\) and RNG k-\(\epsilon\) models performed relatively better. [PERSON] et al. [24] conducted experimental and numerical studies to analyze cross-ventilation in a building with louvers. It was stated that buildings with louvered openings had the largest dimensionless volume flow rate. [PERSON] et al. [25] performed a numerical analysis to examine the effects of changing louver slopes and opening positions on cross-ventilation in isolated buildings. The maximum dimensionless flow rate was found to be 0.719, which was recorded for the top-top configuration without louvers. A review of the prevailing literature reveals that most studies on natural cross-ventilation have been conducted on generic isolated buildings, with a lack of research focusing on natural cross ventilation in gable-roofed buildings. This study aims to fill this gap in the literature and investigates the effects of window opening sizes and window opening positions on wind-induced natural cross-ventilation performance in isolated buildings with gable roofs. In the analysis performed for different configurations within the scope of the study, the velocity and pressure distributions and the indoor airflow structure are examined in detail.