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Hafiyyan, Qalbi
Politeknik Negeri Pontianak
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Journal : Indonesian Journal of Multidisciplinary Science

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Application of Finite Difference Method in Simulating 2D Partial Dam-break Flow with an Obstacle Hafiyyan, Qalbi; Nirmala, Azwa; MS, Murad; Sumiyattinah, Sumiyattinah; Bachtiar, Vivi; Yusuf, Muhammad Yusuf
Indonesian Journal of Multidisciplinary Science Vol. 2 No. 12 (2023): Indonesian Journal of Multidisciplinary Science
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/ijoms.v2i12.609

Abstract

A numerical model capable of simulating the dam-break flow is required to reduce the detrimental impact on the downstream area of the dam. This study aims to see how the characteristics and patterns of flow due to partial dam failure and the presence of an obstacle in the floodplain. In real life, the obstacle can be considered as a building. In this research, a model based on the FTCS method was developed with the addition of a Hansen numerical filter. This model is known as the FTCS-Hansen model. The Hansen filter in this study is used to enhance the numerical of the model and reduce oscillations due to shock waves. The FTCS-Hansen model simulates a 2D partial dam break with an obstacle. The simulation results are compared with other simulation results from previous studies. This comparison intends to see the performance of the FTCS-Hansen model. The results show good agreement between the FTCS-Hansen model and other numerical models. In addition, the complicated dam-break flow characteristics due to the presence of an obstacle (reflection and diffraction) can also be well captured by the FTCS-Hansen model.
Development of Numerical Models for 1D and 2D Pollutant Transport Problems Using the Leapfrog Method with Additional Numerical Filters Hafiyyan, Qalbi; Nirmala, Azwa; Murad, Murad; Bachtiar, Vivi; Sumiyattinah, Sumiyattinah
Indonesian Journal of Multidisciplinary Science Vol. 5 No. 7 (2026): Indonesian Journal of Multidisciplinary Science
Publisher : International Journal Labs

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55324/ijoms.v5i7.1277

Abstract

Pollutant transport in aquatic environments has become a critical environmental issue due to increasing contamination from industrial, domestic, and agricultural activities, which threaten ecosystems and human health. Understanding pollutant behavior through numerical modeling is essential for effective monitoring and mitigation strategies. This study aims to develop and evaluate a numerical model for simulating one- and two-dimensional pollutant transport using the advection–diffusion equation as the governing framework. The method employed is a finite difference approach based on the Leapfrog scheme combined with the Hansen numerical filter to improve model stability and simplicity. The model is tested through several benchmark cases, including pure advection, advection–diffusion, and Gaussian pulse scenarios in both one- and two-dimensional domains, with results compared to analytical solutions. The findings indicate that the proposed Leapfrog–Hansen model demonstrates good agreement with analytical solutions and achieves relatively small error values, particularly in one-dimensional cases. The results also show that spatial and temporal discretization significantly influence model stability and accuracy, where smaller step sizes generally improve performance but may reduce accuracy due to excessive filtering. In conclusion, the Leapfrog–Hansen model provides a simple yet effective alternative for pollutant transport simulation, especially for one-dimensional problems, with potential applications in environmental analysis and decision-making
Co-Authors - Nurhayati Adityawan, Mohammad Bagus Ahmad Muhtadi Alaydrus, Syarifah Umi Qurani Arena, Azza Arno Adi Kuntoro Azwa Nirmala Daslin S.J.L. Tobing Etty Rabihati Eva Ryanti Hadi Kardhana Hartanto Wahyu Sasongko ikhwan Arief Purnama Irene anggraini Kurniawan, Pramudya Magdalena, Ikha Maitsa, Tias Ravena Marsudi, - MS, Murad Murad, Murad oktaviana, nanda Perangin Angin, Imanuel Kemenangenta Puspita Rahmasari Putri Yusella Randy Setiawan, Randy Riza Aulia Rizal Rizal Syahrani, Deny Vivi Bachtiar Werda, Werda Wicaksono, Kukuh Ary Wiwik Wiharti Yusuf, Muhammad Yusuf