Submitted:
11 October 2025
Posted:
13 October 2025
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Abstract
Keywords:
1. Introduction
2. Literature Review
2.1. Outdoor Thermal Comfort Indices
2.2. Microclimate Simulation on Open Spaces in High-Rise Housing Areas and the Cooling Performance of Blue–Green Infrastructure
- Vegetation. Meta-analyses suggest that every 10% increase in canopy cover can reduce Tₘᵣₜ by 4–6 °C and PET by 1–2 °C during mid-afternoon [75]. Even modest green areas can cool by 1–3 °C relative to paved surfaces; tree planting consistently reduces maximum air and surface temperatures, achieving average PET reductions of approximately 13% compared with existing vegetation [65].
- Albedo and permeability. Bright, permeable pavements operate 8–12 °C cooler than asphalt under direct sun; however, their PET impact is secondary when the sky-view factor (SVF) falls below ~0.35. Impervious pavements may reach 12–15 °C higher surface temperatures than adjacent grassed or tree-shaded zones, particularly under dense summer conditions [78].
2.3. The Western Balkan Evidence Gap
3. Materials and Methods
3.1. Climate Conditions and Study Area
3.1.1. Selection of High-Rise Housing Area for Case Study
- Site coverage index: 0.43 (buildings occupy 43% of the parcel)
- Floor-area ratio (FAR): 3.27 (very high built intensity)
- Population density: extremely high (site-specific figures withheld for confidentiality).
3.2. Field Study, Measurement Indicators, and Instruments
3.2.1. Outdoor Microclimate Measurements
- P1 – Central paved OS above the underground garage (no vegetation or equipment). Located in the geometric center, flanked by 8-story residential blocks on two long sides; the southwest short side hosts two single-story commercial buildings, while the northeast side remains largely undeveloped. As in many Niš HRHA courtyards, occasional informal parking on the southeast margin further degrades the microclimate (heated vehicle masses, tailpipe emissions).
- P2 – Asphalt parking area (southeast of R2, above the second underground garage). Originally conceived as part of the communal OS connected with the greenery along the Gabrovačka River, the area has been repurposed for parking.
- P3 – The only larger lawn (northeastern sector). A small but critical grassed patch representing the sole sizeable permeable and vegetated surface within the courtyard.
- P4 – Narrow paved corridor between R1, R2, and a commercial unit (no vegetation). A linear, high-aspect-ratio passage with limited sky view, analogous to P1 in its lack of vegetation.
3.2.2. Built-Environment Documentation
3.3. ENVI-Met Model Setup
3.4. Definition of the Project Scenarios
- S0 — Base case: Existing condition with continuous concrete/asphalt paving except for a ~420 m² lawn above the garage at P3 and a ~30 m² lawn in front of commercial building C2.
- S1 — Grass: Replacement of selected paved areas by lawn over the garage deck between and in front of R1 and R2, focusing on P1 and P4.
- S2 — Grass + Deciduous Trees: Scenario S1 plus deciduous canopy trees positioned on the deck (in load-appropriate planting pits), primarily around P1 and P4 and between R1 and R2.
- S3 — S2 + Shallow Reflecting Pool: Scenario S2 augmented with a ~40 m² shallow reflecting pool located on the deck near P1.
4. Results
4.1. Validation
4.2. Overview of Microclimatic Parameters and PET Values of Individual Parts of OS - Scenario S0 - Existing State
- At the observation point P1, representing a paved courtyard enclosed by buildings on three sides, PAT decreased between 00:00 and 07:00 h, then rose to its maximum at 15:00 h. The PET curve generally followed this trend, with the lowest PAT occurring one hour after the most comfortable period. An inverse relationship was observed between PET and RH. Surrounding buildings and paved surfaces re-emitted stored heat, while the lack of ventilation contributed to PET rising from 05:00 h and reaching a relatively high maximum at 14:00 h. Despite façade shading after 15:00 h, thermal relief remained insufficient. Acceptable comfort occurred only between 00:00–03:00 and at 07:00 h, while pleasant conditions were limited to 03:00–06:00 h. By late evening (23:00 h), PET remained around 30.89 °C.
- At the observation point P4, located in a narrow-paved canyon, similar diurnal dynamics of PAT and RH were observed, with minor magnitude differences. The minimum PET occurred one hour earlier, while the maximum PET of 61.94 °C—the highest of all points—appeared one hour later than the PAT maximum. Due to limited air movement and strong heat accumulation caused by the enclosed geometry, OTC remained poor despite shading between 11:00 and 17:00–18:00 h. Pleasant comfort occurred only between 05:00–07:00 h.
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At observation points P2 and P3, Parking and Lawn Areas: PAT decreased between 00:00–06:00 h and peaked at 14:00 h, with negligible differences between these two locations. RH varied inversely with PAT:
- At P2, PET decreased from 00:00–06:00 h and reached its maximum at 13:00 h—two hours earlier than the PAT peak—due to heat release from dark asphalt.
- At P3, PET also decreased from 00:00–06:00 h and peaked at 53.21 °C at 10:00 h, which is 4–6 °C lower than the maxima at P1 and P2. This early peak reflected the dry, east-oriented lawn lacking shade, with relatively low RH and weak ventilation (low W). Pleasant comfort occurred between 04:00–06:00 h, and acceptable comfort was confined to 00:00–04:00 h and at 07:00 h.
4.3. Overview of Microclimate Parameters and PET Values of Scenarios of Individual Parts of Open Space
- In Scenario S1, PAT followed a similar trend as in S0, being up to 1.2 °C lower in early morning and up to 0.9 °C higher at midday. PET values were slightly reduced—by less than 1.67 °C—compared to S0. Neither the presence of lawn nor façade shading after 15:00 h substantially improved thermal comfort, which remained pleasant or acceptable only from 00:00–07:00 h, as in S0.
- In Scenario S2, PAT, RH, and W differed negligibly from S0, with PET reduced by about 1.2 °C only during early morning hours—insufficient to improve daytime comfort. Pleasant or acceptable comfort persisted only from 00:00–07:00 h.
- In Scenario S3, PAT and W differed minimally from S0, RH varied by up to 3.65%, and PET values were slightly lower—by up to 2.68 °C at 10:00 h. As in S0, shading after 15:00 h failed to bring conditions to acceptable levels; comfort remained confined to early morning hours (00:00–07:00 h).
- In the base case (S0), PAT and PET both decreased during early morning hours (07:00 h and 06:00 h, respectively). PET began rising one hour earlier and declined one hour later than PAT. The maximum PET of 61.94 °C occurred at 16:00 h, coinciding with minimum RH. Pleasant thermal comfort occurred only between 05:00–07:00 h, and acceptable comfort between 01:00–04:00 h and 07:00–09:00 h.
- In Scenarios S1 and S2, all parameters differed negligibly from S0. PET reductions were below 1 °C, and building shading in the morning did not improve OTC to acceptable levels.
- In Scenario S1, OTC was pleasant from 04:00–07:00 h and acceptable from 00:00–04:00 h and 07:00–09:00 h.
- In Scenario S2, pleasant OTC occurred from 04:00–07:00 h and acceptable from 00:00–04:00 h and 08:00–10:00 h.
5. Discussion
5.1. Synthesis of Key Findings
5.2. Suggestions for Planning and Design
- Limit building height and plot coverage.
- Define a minimum open-space area per inhabitant.
- Ensure adequate spacing based on orientation to enable ventilation.
- Define minimum canopy coverage and tree spacing along pedestrian corridors.
- Ensure continuity between courtyards and larger green networks.
- Prescribe minimum open-sky water surface ratios per capita and improve visibility or use dynamic sprinkling in enclosed areas.
- Introduce continuous ventilation corridors within block layouts.
- Combine ground-level greenery with green roofs, vertical greening, and lightweight shading.
5.3. Future Research Directions
- Identify optimal morphological parameters of open spaces (H/W ratios, SVF, permeability).
- Conduct multi-seasonal monitoring of climatic parameters to capture variations in humidity, radiation, and wind.
- Apply parametric analyses of different sky-view factors (SVF) and greenery percentages to define performance thresholds.
- Utilize advanced computational fluid dynamics (CFD) to model the behavior of dynamic water elements.
- Incorporate user-behavioral data (e.g., dwell time, movement patterns) to link microclimate improvements with tangible health-risk reductions.
6. Conclusion
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
References
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| Weather | Maximum Air Temperature (◦C) |
Minimum Air Temperature (◦C) |
Wind Velocity (m/s) | Wind Direction |
Realitve Humidity (%) |
|---|---|---|---|---|---|
| Sunny | 40.5 | 25.2 | South–East |
| OP | Surface & setting | Shade regime |
|---|---|---|
| P1 | Central paved court (concrete) | Full sun 06:30 – 13:00 h; shaded by 27 m south façade thereafter |
| P2 | Asphalt parking, north-east sub-court | Sun-exposed from until 16:00 h; partial shade afterwards |
| P3 | Existing lawn above garage slab | Sun-exposed until 16:00 h |
| P4 | Narrow paved canyon (2 m width) | Sun 08:00 – 13:30 h; shaded by 27 m and 6 m blocks |
| Parameter | Value | Source |
|---|---|---|
| Simulation period | 14 August 2024, 00:00–24:00 | Niš Meteorological Station (WMO 13270) |
| Daily maximum air temp. | 38.2 °C (forcing) | Niš Meteorological Station (hourly series) |
| Synoptic maximum (reference) | 40.5 °C | Niš Meteorological Station (daily synoptic) |
| Relative humidity (mean) | 39% | Field survey calibration + station data |
| Wind speed / direction | 1.5 m·s⁻¹ @ 190° → 2.4 m·s⁻¹ @ 230° | Niš Meteorological Station |
| Simulation period | 14 August 2024, 00:00–24:00 | Niš Meteorological Station (WMO 13270) |
| Daily maximum air temp. | 38.2 °C (forcing) | Niš Meteorological Station (hourly series) |
| Synoptic maximum (reference) | 40.5 °C | Niš Meteorological Station (daily synoptic) |
| Relative humidity (mean) | 39% | Field survey calibration + station data |
| Wind speed / direction | 1.5 m·s⁻¹ @ 190° → 2.4 m·s⁻¹ @ 230° | Niš Meteorological Station |
| Spin-up period | 48 h | ENVI-met best practice |
| Grid dimensions | 30 × 30 × 15 | Model setup |
| Grid cell size | 2 m × 2 m × 2 m | Model setup |
| Calculation height for PET | 1.4 m | BioMet (ENVI-met build 2025-05-12) |
| Human parameters | M = 80 W·m⁻², clo = 0.6 | ISO 7726 standard |
| P1 | P2 | P3 | P4 | |||||
|---|---|---|---|---|---|---|---|---|
| Time (h) |
PAT (°C) |
PET (°C) |
PAT (°C) |
PET (°C) |
PAT (°C) |
PET (°C) |
PAT (°C) |
PET (°C) |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
| 0.00 |
Fall on 21.57 |
Fall on 20,30 |
Fall on 21.24 |
Fall on 20.29 |
Fall on 21.30 |
Fall on 21.85 |
Fall on 21.68 |
Fall on 21.24 |
| 1.00 | ||||||||
| 2.00 | ||||||||
| 3.00 | ||||||||
| 4.00 | ||||||||
| 5.00 | ||||||||
| 6.00 |
Rise on 59.40 max |
|||||||
| 7.00 |
Rise on 43.17 max |
Rise on 57.95 max |
Rise on 42.90 max |
Rise on 53.21 max |
Rise on 61.94 max |
|||
| 8.00 |
Rise on 43.57 max |
Rise on 44.43 max |
||||||
| 9.00 | ||||||||
| 10.00 | ||||||||
| 11.00 |
Fall on 32.04 |
|||||||
| 12.00 | ||||||||
| 13.00 | ||||||||
| 14.00 |
Fall on 31.10 |
|||||||
| 15.00 |
Fall on 31.23 |
|||||||
| 16.00 |
Fall on 30.89 |
Fall on 30.80 |
Fall on 30.87 |
Fall on 31.36 |
||||
| 17.00 |
Fall on 32.73 |
|||||||
| 18.00 | ||||||||
| 19.00 | ||||||||
| 20.00 | ||||||||
| 21.00 | ||||||||
| 22.00 | ||||||||
| 23.00 | ||||||||
| - speed W variable and relatively low, from 0.11-0.97 m/s, - the change in RH approximately follows the decline and growth of PET, but inversely proportionally, from 18.23 to 64.38%. |
- W is pulsating with an interval of usually 2 hours, the speed of W is low, from 0.03-0.64 m/s, - RH drops until 03.00 pm (from 47.73 to 18.76%), then rises to 42.32% at 11 pm, inversely proportional to PAT. |
- W of variable intensity but very low speed of 0.048-0.264 m/s, - RH rises up to 07.00 am (from 47.72-65.50%), then falls to 20.293 at 04.00 PM, then rises again to 42.11% at 11 PM. |
- W is pulsating with an interval of usually 2 hours, the speed of W is small from 0.024-0.68 m/s, - RH increases until 07:00 a.m. (from 46.24-64.04%), then falls to 17.54% at 03:00 PM, then rises again to 40.88% at 11:00 PM. |
|||||
| S0 | S1 | S2 | S3 | |||||||||
| Time (h) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 |
| 0.00 |
Fall on 21.57 |
Fall on 20,30 |
Fall on 20.98 |
Fall on 19.10 |
(0.5h) -1.20 |
Fall on 20.94 |
Fall on 19.10 |
(0.5h) -1.20 |
Fall on 20.93 |
Fall on 19.10 |
(0.5h) -1.20 |
|
| 1.00 | ||||||||||||
| 2.00 | ||||||||||||
| 3.00 | ||||||||||||
| 4.00 | ||||||||||||
| 5.00 | ||||||||||||
| 6.00 |
Rise on 59.40 max |
Rise on 59.21 max |
(14 h) -0.19 |
Rise on 44.01 |
Rise on 59.20 max |
(14 h) -0.20 |
Rise on 58.84 max |
(14 h) -0.56 |
||||
| 7.00 | ||||||||||||
| 8.00 |
Rise on 43.57 |
Rise on 44.05 |
Rise on 43.86 |
|||||||||
| 9.00 | ||||||||||||
| 10.00 | ||||||||||||
| 11.00 | ||||||||||||
| 12.00 | ||||||||||||
| 13.00 | ||||||||||||
| 14.00 | ||||||||||||
| 15.00 |
Fall on 31.23 |
Fall on 30.74 |
Fall on 30.26 |
(23 h) -0.96 |
Fall on 30.73 |
Fall on 30.25 |
(23 h) -0.98 |
Fall on 29.83 |
(23 h) -1.40 |
|||
| 16.00 |
Fall on 30.89 |
Fall on 30.73 |
||||||||||
| 17.00 | ||||||||||||
| 18.00 | ||||||||||||
| 19.00 | ||||||||||||
| 20.00 | ||||||||||||
| 21.00 | ||||||||||||
| 22.00 | ||||||||||||
| 23.00 | ||||||||||||
| - speed W variable and relatively low, from 0.11-0.97 m/s, - the change in RH approximately follows the decline and growth of PET, but inversely proportionally, from 18.23 to 64.38%. |
- speed W is relatively small, close to W as in S0, - RH slightly higher than S0, - PET lower than S0 by less than 1.67 °C. |
- the speed W differs negligibly from the value in S0, -RH is slightly different from the value in S0, up to 3%, - PET less than the value at S0 by 0.10 (at 15 h)-1.92 °C (at 7.0 h). |
- the speed W differs negligibly from the value in S0 -RH is slightly different from the value in S0, up to 3.65% - PET less than the value at S0 up to 2.68 °C in 10 h. |
|||||||||
| S0 | S1 | S2 | |||||||
| Time (h) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
PAT (°C) |
PET (°C) |
∆PET (°C) |
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| 0.00 |
Fall on 21.68 |
Fall on 21.24 |
Fall on 21.42 |
Fall on 20.80 |
(0.6h) -0.436 |
Fall on 21.41 |
Fall on 20.80 |
(0.6h) -0.436 |
|
| 1.00 | |||||||||
| 2.00 | |||||||||
| 3.00 | |||||||||
| 4.00 | |||||||||
| 5.00 | |||||||||
| 6.00 | |||||||||
| 7.00 |
Rise on 61.94 max |
Rise on 61.91 max |
(16.0h) -0.037 |
Rise on 61.78 max |
(16 h) -0.163 |
||||
| 8.00 |
Rise on 44.43 max |
Rise on 44.88 max |
Rise on 44.84 max |
||||||
| 9.00 | |||||||||
| 10.00 | |||||||||
| 11.00 | |||||||||
| 12.00 | |||||||||
| 13.00 | |||||||||
| 14.00 | |||||||||
| 15.00 | |||||||||
| 16.00 |
Fall on 31.36 |
Fall on 31.11 |
Fall on 31.09 |
||||||
| 17.00 |
Fall on 32.73 |
Fall on 32.13 |
(23 h) -0.602 |
Fall on 32.09 |
(23 h) -0.643 |
||||
| 18.00 | |||||||||
| 19.00 | |||||||||
| 20.00 | |||||||||
| 21.00 | |||||||||
| 22.00 | |||||||||
| 23.00 | |||||||||
| - W is pulsating with an interval of usually 2 hours, the speed of W is small from 0.024-0.68 m/s, - RH increases until 07:00 h (up to 64.04%), then falls to 17.54% at 15,00 h, then rises again to 40.88% at 23,00 h. |
- W pulsating with an interval of usually 2 hours, low speed, as with S0, with a negligible difference, - the change in RH approximately follows the decline and rise in PAT and PET, inversely proportional, with a negligible difference compared to S0. |
- the speed W differs negligibly from the value in S0 -RH changes as in S0 with small differences. |
|||||||
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