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2025 Vol.58, Issue 11 Preview Page

Special Issue: 지능형 도시홍수 예측

Development of two-dimensional finite volume flow model with edge-based hydrostatic reconstruction and its application to urban flood

엣지 기반 정수압 재구성 2차원 유한체적 흐름 모형 개발 및 도시 홍수 적용

Eun Taek Shina
,
Dong Sop Rheeb
,
Tae Soo Eumc
,
Chang Geun Songd*
신 은택a
,
이 동섭b
,
엄 태수c
,
송 창근d*
aResearch Professor, Department of Safety Engineering, Incheon National University, Incheon, Korea
bResearch Fellow, Department of Hydro Science and Engineering Research, Korea Institute of Civil Engineering and Building Technology, Goyang, Korea
cResearch Professor, Department of Safety Engineering, Incheon National University, Incheon, Korea
dProfessor, Department of Safety Engineering, Incheon National University, Incheon, Korea
a인천대학교 안전공학과 학술연구교수
b한국건설기술연구원 수자원하천연구본부 연구위원
c인천대학교 안전공학과 학술연구교수
d인천대학교 안전공학과 교수
*Corresponding Author
30 November 2025. pp. 1127-1140
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Abstract

This study developed a two-dimensional finite volume flow model with edge-based hydrostatic reconstruction for accurate and stable simulation of flash floods in complex urban environments. The proposed model incorporates MUSCL slope limiting and the HLLC approximate Riemann solver on unstructured triangular cells and employs a well-balanced scheme to maintain the equilibrium between flux and source terms, thereby satisfying the C-property. To enhance numerical stability and computational efficiency for large-scale urban flood simulations, implicit friction treatment and a high-performance parallel computing framework (Taichi) were implemented. The model performance was verified through benchmark tests, including Toro’s Riemann problems and Thacker’s planar solution, demonstrating its capability to capture shock propagation and wetting-drying transitions. The model was further applied to the 2007 Pasha Bulker storm event in Newcastle, Australia, and validated against experimental data as well as results from FLUMEN and HDM-2D models. The analysis confirmed that the proposed model successfully reproduced key urban flood characteristics, such as water depth rise in front of buildings and flow acceleration through narrow passages. Quantitative comparisons at 13 measurement points showed errors comparable to or lower than those of the existing models.

Keywords
Finite volume 2D model
Edge-based hydrostatic reconstruction
MUSCL-HLLC scheme
Urban flood simulation
Wetting-drying

본 연구에서는 복잡한 도시 지형에서 발생하는 돌발 홍수를 정확하고 안정적으로 모의하기 위하여 엣지 기반 정수압 재구성 기법을 적용한 2차원 유한체적 흐름해석 모형을 개발하였다. 개발된 모형은 비구조 삼각 격자에서 MUSCL 경사 제한과 HLLC 근사 리만 솔버를 결합하고, 보존항과 소스항의 균형을 유지하는 well-balanced 기법을 적용하여 C-속성을 만족하도록 구현되었다. 또한, 마찰항의 음해적 처리와 고속 병렬 연산 프레임워크(Taichi)를 도입하여 대규모 도시 홍수 해석에서의 수치적 안정성과 계산 효율성을 확보하였다. 모형의 성능은 Toro의 Riemann 문제와 Thacker의 곡면 회전 문제와 같은 검증 예제를 통해 충격파 전파와 마름-젖음 경계 처리 능력을 확인하였다. 2007년 ‘Pasha Bulker’ 폭풍으로 피해를 입은 호주 뉴캐슬 지역을 대상으로 적용하였으며, 실험 결과 및 기존 모형(FLUMEN, HDM-2D)과 비교·검증하였다. 분석 결과, 건물 전면부 수위 상승, 협소 통로에서의 병목 현상 등 도시 홍수 특성이 정확히 재현되었으며, 13개 검증 지점에서 수심 및 유속 오차는 기존 모형과 유사하거나 일부 구간에서는 더 낮게 나타났다.

키워드
2차원 유한체적 모형
엣지 기반 정수압 재구성
MUSCL-HLLC
도시 홍수
마름-젖음
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Information
  • Publisher :KOREA WATER RESOURECES ASSOCIATION
  • Publisher(Ko) :한국수자원학회
  • Journal Title :Journal of Korea Water Resources Association
  • Journal Title(Ko) :한국수자원학회 논문집
  • Volume : 58
  • No :11
  • Pages :1127-1140
  • Received Date : 2025-08-31
  • Revised Date : 2025-10-12
  • Accepted Date : 2025-10-13
  • DOI :https://doi.org/10.3741/JKWRA.2025.58.11.1127
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