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Hafiyyan, Qalbi
Politeknik Negeri Pontianak
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A Stabilized Modified Lax Scheme with Numerical Filter for Accurate One-Dimensional Pollutant Transport Modeling Qalbi Hafiyyan; Azwa Nirmala
JURNAL TEKNIK SIPIL CENDEKIA (JTSC) Vol 7 No 2 (2026): May
Publisher : Departement of Civil Engineering, Universitas Winaya Mukti

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51988/jtsc.v7i2.546

Abstract

Pollutant transport in water is a global issue commonly modeled using advection-diffusion equations that describe transport driven by concentration gradients and flow velocity. Because analytical solutions are limited to simple cases, numerical methods are essential for simulating pollutant transport. However, many existing numerical models require complex formulations to achieve accurate, stable solutions. This study proposes a one-dimensional numerical model based on a modified Lax scheme combined with the Hansen filter, providing stable, accurate solutions with a simpler formulation. The proposed model is evaluated using three test cases: pure advection, advection-diffusion, and a Gaussian pulse. The performance of the proposed numerical model is compared with the exact solution using L2, L?, and absolute error analysis. For the pure advection case, the proposed model achieves L2=0.048 and L?=0.011, which are lower than those reported by some previous numerical models. In the advection-diffusion case, the model also has better accuracy than some previous numerical models with L2=0.0948 and L?=0.0422. For the Gaussian pulse case, the absolute error remains very small at 8.76 × 10-5 at the concentration peak. show that the proposed model can suppress numerical oscillations while maintaining high accuracy and efficiency, making it effective for one-dimensional simulations of pollutant transport.
Development of Leapfrog-Hansen Numerical Model to Simulate One-Dimensional Dam-Break Flow Qalbi Hafiyyan; Irene Anggraini; Puspita Rahmasari; Azwa Nirmala
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 10, No 3 (2026): July
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v10i3.38595

Abstract

This study is a computational study aimed at developing and validating a numerical model for simulating one-dimensional dam-break flow. Dam construction, in addition to providing benefits to the community in terms of flood control, irrigation, and clean water sources, also carries the potential for disaster. Disasters can occur when dams fail or collapse. Dam failures can generate catastrophic flooding that threatens infrastructure, the environment, and human life. Therefore, numerical modeling is an important approach for understanding the characteristics of dam-break flow to support flood mitigation efforts following dam failure. The proposed model is developed using the Leapfrog finite-difference method, known for its simplicity. However, the conventional Leapfrog method is prone to numerical oscillations when handling discontinuities and shock waves in dam-break simulations. The novelty of this research lies in the development of a Leapfrog–Hansen numerical model for one-dimensional dam-break flow simulation by integrating the Hansen numerical filter into the conventional Leapfrog finite-difference scheme to improve stability while maintaining computational simplicity. The governing shallow water equations were solved using the proposed Leapfrog–Hansen model and applied to several hypothetical one-dimensional dam-break scenarios with varying downstream water depths. The performance of the developed model was evaluated by comparing its numerical simulation results with Stoker's analytical solution, which is often used as a benchmark in numerical modeling of one-dimensional dam-break flow. The comparison results show that the Leapfrog–Hansen model accurately reproduces the water surface profiles predicted by the analytical solution. The Leapfrog-Hansen model yielded relatively small Mean Absolute Error (MAE) values of 0.032 to 0.062, indicating high accuracy in reproducing dam-break flows. In addition, the developed model successfully reduces numerical oscillations in the conventional Leapfrog scheme and accurately captures flow discontinuities, shock-wave propagation, and wet-dry conditions, while maintaining simulation stability. These findings demonstrate that the proposed Leapfrog–Hansen model provides a simple, stable, and accurate alternative for simulating one-dimensional dam-break flows and has potential applications in flood-propagation analysis, preliminary dam-break hazard assessment, and other hydraulic studies related to flood risk mitigation.
Effect of Shear Wall Placement Variations on Seismic Response of Reinforced Concrete Dual-System Buildings Puspita Rahmasari; Chandra Alip Pratama; Qalbi Hafiyyan
JURNAL TEKNIK SIPIL CENDEKIA (JTSC) Vol 7 No 3 (2026): Juli
Publisher : Departement of Civil Engineering, Universitas Winaya Mukti

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.51988/jtsc.v7i3.651

Abstract

The seismic performance of reinforced concrete dual-system buildings is highly impacted by the shear wall position, particularly in seismic risk-prone and soft soil regions such as Jakarta, Indonesia. This study examines the influence of shear wall layout diversity on the elastic seismic response of a 15-story reinforced concrete dual-system building. Five structural models were developed in finite-element structural analysis software, consisting of one model without shear walls (N-SW) and four models with identical shear wall areas yet different layouts: diagonal corner (DC-SW), core (C-SW), four-corner (FC-SW), and mid-side (MS-SW). The seismic response was assessed using response spectrum analysis by comparing the fundamental period, modal mass participation ratio, lateral displacement, lateral stiffness, inter-story drift, and internal forces in columns and shear walls. All of the structural models containing shear walls satisfied the dual-system requirements, while the N-SW was not classified as a dual-system structure. All models likewise complied with the inter-story drift limits specified in SNI 1726:2019. Nevertheless, their seismic responses varied depending on the adopted shear wall layout. The core configuration generally exhibited the highest lateral stiffness, the shortest fundamental period, and the lowest lateral displacement. It also reduced the bending moment and shear force demands in the columns. These outcomes indicate that the location of shear walls governs the seismic force transfer and the overall behavior of reinforced concrete dual-system buildings.
Compressive strength performance of sustainable concrete incorporating rice husk ash and sugarcane bagasse ash as agricultural waste-based supplementary cementitious materials Arifurrahman; Agil Dwi Cahyadi; Pramudya Kurniawan; Randy Setiawan; Wattini; Qalbi Hafiyyan
Journal of Advanced Sciences and Mathematics Education Vol. 6 No. 3 (2026): Journal of Advanced Sciences and Mathematics Education
Publisher : CV. FOUNDAE

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58524/jasme.v6i3.1397

Abstract

Background: The growing environmental concerns associated with Portland cement production have encouraged the utilization of agricultural waste as supplementary cementitious materials for sustainable concrete. Rice husk ash (RHA) and sugarcane bagasse ash (SCBA) are silica-rich by-products with pozzolanic potential that can reduce cement consumption while promoting environmentally responsible construction. Aim: This study aimed to evaluate the compressive strength performance of sustainable concrete incorporating RHA and SCBA and to determine the most effective mixture proportion for structural concrete applications. Method: A pure experimental approach was employed using concrete with a target compressive strength of 21 MPa at 28 days. RHA was used as a constant 10% cement replacement by weight, while SCBA was incorporated at 1%, 3%, 5%, 7%, and 9% of the binder content. Superplasticizer was added to maintain workability within a slump range of 6–18 cm, and compressive strength was evaluated after 7, 14, and 28 days of curing. Results: Increasing SCBA content progressively reduced compressive strength because of its porous structure and high water demand, which limited cement hydration. The mixture containing 10% RHA and 1% SCBA exhibited the highest compressive strength among the modified concretes, although it remained below the control concrete (25.51 MPa) and the targeted structural strength. Conclusion: RHA and SCBA have potential as agricultural waste-based supplementary cementitious materials for sustainable concrete, particularly for non-structural applications. Further optimization of ash processing and mixture proportions is required to enhance their mechanical performance and broaden their structural applicability. 
Development of Numerical Models for 1D and 2D Pollutant Transport Problems Using the Leapfrog Method with Additional Numerical Filters Qalbi Hafiyyan; Azwa Nirmala; Murad Murad; Vivi Bachtiar; 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 Agil Dwi Cahyadi Ahmad Muhtadi Alaydrus, Syarifah Umi Qurani Arena, Azza Arifurrahman Arno Adi Kuntoro Azwa Nirmala Azwa Nirmala Azwa Nirmala Chandra Alip Pratama Etty Rabihati Eva Ryanti Hadi Kardhana Hartanto Wahyu Sasongko Ikha Magdalena ikhwan Arief Purnama Irene Anggraini Irene anggraini Kurniawan, Pramudya Maitsa, Tias Ravena Marsudi, - MS, Murad Murad Murad oktaviana, nanda Perangin Angin, Imanuel Kemenangenta Pramudya Kurniawan Puspita Rahmasari Puspita Rahmasari Randy Setiawan Randy Setiawan, Randy Rizal Rizal Sumiyattinah Sumiyattinah Syahrani, Deny Vivi Bachtiar Vivi Bachtiar Wattini Werda, Werda Wicaksono, Kukuh Ary Yusuf, Muhammad Yusuf