### 2D Shallow Water Model for Dam Break and Column Interactions

https://doi.org/10.22146/jcef.54307

(1) Graduate School of Civil Engineering, Bandung Institute of Technology, Bandung INDONESIA
(2) Graduate School of Civil Engineering, Bandung Institute of Technology, Bandung INDONESIA
(3) Water Resources Engineering Research Group, Bandung Institute of Technology, Bandung, INDONESIA
(4) Water Resources Engineering Research Group, Bandung Institute of Technology, Bandung, INDONESIA
(5) Departement of Civil Engineering, Universitas Jenderal Achmad Yani, Cimahi
(*) Corresponding Author

#### Abstract

Dam break causes disastrous effects on the surrounding area, especially at the downstream, therefore, there is a need for accurate and timely predictions of dam break propagation to prevent both property damage and loss of life. This study aimed to determine the movement of dam-break flow in the downstream area by solving the Shallow Water Equations (SWE) or Saint Venant Equations which are based on the conservation of mass and momentum derived from Navier Stokes equation. The model was generated using a finite difference scheme which is the most common and simplest method for dam-break modeling while Forward Time Central Space (FTCS) numerical scheme was applied to simulate two-dimensional SWE. Moreover, the accuracy of the numerical model was checked by comparing its results with the analytic results of one-dimensional cases and a relatively small value of error was found in comparison to the analytic models as indicated with the RMSE values close to 0. The numerical to the two-dimensional models were also compared to a simple dam break in a flume and dam break with column interactions and the wave propagation in both cases was observed to become very close at a certain time.  The model, however, used numerical filter (Hansen) to reduce the oscillations or numerical instability. The simulation and analysis, therefore, showed the ability of the numerical scheme of FTCS to resolve both cases of the simple dam break and dam break with column interactions in the Two-dimensional Shallow Water.

#### Keywords

Dam Break, Two-dimensional, Shallow Water Equations, FTCS, Numerical Instability

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#### References

Adityawan, M. B., and Tanaka, H., 2012. Bed Stress Assessment Under Solitary Wave Run-up. Earth, Planets and Space Journal, 64(10), pp. 945– 954.

Chen, A. S., Hsu, M. H., Chen, T. S., and Chang, T. J., 2005. An Integrated Inundation Model for Highly Developed Urban Areas. Water Science and Technology, 51(2), 221–229.

Farid, M., Yakti, B. P., Rizaldi, A., and Adityawan, M. B., 2016. Finite Difference Numerical Scheme for Simulating Dam Break Flow. The 5th HATHI International Seminar on Water Resilience in a Changing World.

Gomez-Gesteira, M., Rogers, B. D., Dalrymple, R. A., and Crespo, A. J. C., 2010. State-of-the-art of Classical SPH for Free-surface Flows. Journal of Hydraulic Research Extra Issue, 48, pp 6–27.

Harlan, D., Adityawan, M. B., Natakusumah, D. K., and Zendrato, N. L. H., 2019. Application of Numerical Filter to a Taylor Galerkin Finite Element Model for Movable Bed Dam Break Flows. International Journal of Geomate, 16(57).

Kusuma, M. S. B., Farid, M., and Adityawan, M. B., 2008. Numerical Model Study of Two Dimension Flow Generated by a Dam Break. International Conference on Earthquake Engineering and Disaster Mitigation.

Maitsa, T., R, Mardika, M. G., I., Adityawan, M. B., and Harlan D., 2019. 2D Numerical Simulation of Urban Dam Break and Its Effect to Building using Lax Scheme with Numerical Filter. International Conference on Earthquake Engineering and Disaster Mitigation.

Sinha, S., Rode, M., and Borchardt, D., 2013. Numerical Modeling of Shallow Water Equations: A Comparative Study Between Mesh-Less and MeshFull Methods. Proceedings of 2013 IAHR World Congress.

Wang, J.S., Ni, H. G., and He, Y. S., 2000. Finitedifference TVD Scheme for Computation of Dambreak Problems. Journal of Hydraulic Engineering, pp. 253–262.

Zendrato, N. L. H., Harlan, D., Adityawan, M. B., and Natakusumah, D. K., 2019. 1D Numerical Modelling of Dam Break Using Finite Element Method. MATEC Web of Conferences, 270, 04022

DOI: https://doi.org/10.22146/jcef.54307

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