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Numerical Simulation of Fluid Flow in the Narrow Strait with Density Differences Usman, Tarmizi; Ikhwan, Muhammad; Zulfataya, Muhammad; Adami, Farhan
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 9, No 1 (2025): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v9i1.27252

Abstract

This study investigates the dynamics of fluid flow through a narrow strait connecting two large water bodies with different densities using numerical simulations. The research focuses on understanding how density-driven currents develop and interact in a confined channel, particularly the role of lateral density contrasts and the influence of gravitational and geostrophic forces. A semi-implicit numerical method is employed to efficiently model the complex flow dynamics while ensuring stability. The simulation results are analyzed using visualizations of the flow fields, which highlight the evolution of density-driven currents, vortex formation, and geostrophic adjustments over time. The findings reveal that denser water from the western basin flows toward the eastern basin, lowering the sea surface in the west and raising it in the east. Over time, the Coriolis force causes the bottom flow to deflect southward and the returning surface flow to shift northward, leading to geostrophic equilibrium. Transient vortices emerge within the strait, while stationary vortices form in the outflow regions, underscoring the interplay between gravitational forces, density contrasts, and rotational effects. These findings offer important insights into the hydrodynamic behavior of narrow straits, which are common in nature. The results can help improve the understanding of flow patterns in similar environments, such as fjords, estuaries, and channels, and may contribute to studies on sediment transport, nutrient mixing, and renewable energy potential in density-driven systems. 
Path Planning for Parking of Four Wheeled Vehicle with Minimum Energy and Optimum Parking Space Lutfan Milzam, Ahmad; Usman, Tarmizi; Ikhwan, Muhammad; Mahmudi, Mahmudi; Amri, Saiful
Transcendent Journal of Mathematics and Applications Vol 1, No 1 (2022)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v1i1.28853

Abstract

As the number of private vehicles grows, so does the demand for parking space. It was also in charge of traffic congestion and high parking fees in downtown, particularly near public services and the central business district. The goal of this paper was to optimize path planning with the least amount of energy and the most parking space. To achieve this goal, three parts of optimization were used. They were divided into three categories: optimal parking space for obtaining area bounded and parking angle, path planning with boundaries and constraints to find the path with the least amount of energy, and finally vehicle direction for comparison with other recent works. The simulation revealed that the best parking space could result in a parking angle as the final vehicle direction. Based on the results, the produced path was more efficient, with an objective function energy of 394.44 unit of energy and a vehicle speed of 4.3 km/h. Because of its closeness to previous work, the route verified that it could be driven in reverse parking action.
Rainfall forecasting by utilizing adaptive neuro-fuzzy inference system in Aceh Besar District Sofyan, Hizir; Tatsara, Nidya; Yolanda, Yolanda; Usman, Tarmizi; Irvanizam, Irvanizam
Bulletin of Electrical Engineering and Informatics Vol 14, No 4: August 2025
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/eei.v14i4.8441

Abstract

Forecasting is a common thing to capture events in future based on previous information. However, some classical time-series methods, including moving average (MA), autoregressive integrated moving average (ARIMA), seasonal autoregressive integrated moving average (SARIMA), and simple exponential smoothing (SES), have limitations in predicting nonlinear time-series data. Therefore, this paper aims to utilize the adaptive neuro-fuzzy inference system (ANFIS) model, a combination of the fuzzy inference system (FIS) and neural network architecture to forecast a nonlinear rainfall problem. This model can capture the non-linear data, adaptation capability, and speedy learning capacity. We used the data consisting of temperature (ºC), humidity (%), and wind speed (km/hour) as input variables and rainfall (millimeter) as an output variable at two stations and one rain post in Aceh Besar District, from January 2009 to December 2019. The results demonstrated that ANFIS with generalized Bell (gBell) membership function on epoch 10 can successfully conduct rainfall forecasting in Aceh Besar District with the best-predicted value. The mean absolute percentage error (MAPE) of the prediction at the Meteorology, Climatology, and Geophysics Agency (MCGA) Station or Badan Meteorologi, Klimatologi dan Geofisika (BMKG) Indrapuri is 6.73% for 80% of the training dataset and 20% of the testing dataset.
OPTIMAL CONTROL ON MATHEMATICAL MODEL OF MPOX DISEASE SPREAD Ikhsani, Putri Nabila; Usman, Tarmizi; Ikhwan, Muhammad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss1pp477-490

Abstract

The Global emergency related to mpox infection outside endemic areas occurred in 2022. The United States is one of the areas that has been significantly impacted by the mpox virus. To reduce the number of infection cases, it is essential to control the spread of the disease. This can be achieved through optimal control. The intervention provided to combat the dynamic spread of mpox can be represented in the form of a mathematical model. This model comprises the animal population (SEI) and the human population (SEIR). Furthermore, the model that has been formed also divides humans into high-risk and low-risk populations. The classification is based on the risk of complications and death caused by infection. The model will be analyzed in order to ascertain its disease-free and endemic stability. The spread of mpox is then controlled by healthy living behaviors and antiviral administration to reduce the number of infection cases. To this end, numerical simulations were conducted to visualize the spread of mpox with and without the function of control variables so that optimal results were obtained. The results of the numerical simulation demonstrate that a reduction in infection cases by 64.62% can be achieved by implementing an average rate of healthy living behaviors of 93.15% and distributing an average rate of antivirus at 75.11%.
Pembinaan analisis data dan informasi statistik perencanaan pembangunan daerah [Development of statistical data analysis and information for regional development planning] Marzuki, Marzuki; Ula, Akramul; Munawar, Munawar; Rasudin, Rasudin; Zulfan, Zulfan; Zuhra, Rahma; Usman, Tarmizi; Iqbal, Muhammad
Buletin Pengabdian Vol 4, No 1 (2024): Bull. Community. Serv.
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/bulpengmas.v4i1.35650

Abstract

The purpose of this development activity is to enhance skills in planning, data analysis, and the use of information technology so that the Subulussalam City Government can improve the quality of planning documents produced, respond to the needs of the community, and provide a good understanding to employees related to statistical analysis. The method of implementing this activity is through training or seminars held on October 5, 2023, at the Regional Development Planning Agency (Bappeda) Hall of Subulussalam City for approximately 3 hours. The material presented includes basic concepts of statistical analysis, data analysis techniques, and the application of statistical analysis in regional development planning. Three main challenges in statistical analysis of regional development data include data limitations, data collection errors, and data processing errors. These challenges can be overcome by increasing understanding of methodology, quantity and quality of human resources, and inter-agency coordination. Statistical analysis in regional development planning can result in more targeted regional development planning and can identify challenges and opportunities to achieve sustainable development plans. Statistical analysis in regional development planning is important to be used as the basis for objective policies.