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All Journal Rangkiang Mathematics Journal
Febriana Dewi Syahrani
UIN Sunan Ampel Surabaya
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3D Modeling of the 2010 Mentawai Tsunami Using Optimal Time Stepping Nurul Khoriyatul Anshori; Febriana Dewi Syahrani; M. Fikri Hafizh Adinata; Dian Candra Rini Novitasari
Rangkiang Mathematics Journal Vol. 5 No. 2 (2026): Rangkiang Mathematics Journal
Publisher : Department of Mathematics, Universitas Negeri Padang (UNP)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/rmj.v5i2.122

Abstract

The 2010 Mentawai tsunami was a major disaster in Indonesia, triggered by a 7.7 Mw underwater tectonic earthquake southwest of Pagai Island. To enhance disaster mitigation, efficient and accurate computational analysis is essential. This study develops a three-dimensional (3D) tsunami propagation model implementing the Optimal Time Stepping (OTS) method to address the high computational costs typically associated with conventional 3D simulations. Computational data were derived from the USGS earthquake parameters and spatial data of the Mentawai Islands, processed using QGIS software. The simulation evaluated the effectiveness of the OTS method through plane wave and circular wave approaches, utilizing a second-order Runge–Kutta (RK2) scheme for validation. The results demonstrate that the OTS method effectively captures the tsunami propagation patterns with robust numerical stability and significantly higher computational efficiency compared to standard methods. Furthermore, the simulated wave propagation direction aligns with the actual historical movement from the epicenter toward Pagai and Sipora Islands, underscores the method's potential for integration into Indonesia’s tsunami early warning systems.Keywords: 3D modeling, Mentawai tsunami, Optimal Time Stepping (OTS), disaster mitigation.
Co-Authors Dian Candra Rini Novitasari M. Fikri Hafizh Adinata Nurul Khoriyatul Anshori