Performansi Implementasi Paralel OpenMP pada Persamaan Air Dangkal 2D untuk Simulasi Gelombang Runup
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Abstract
Terdapat banyak aliran dangkal di alam seperti tsunami, aliran banjir, aliran pada sungai, pasang surut air laut, dan sebagainya. Aliran dangkal dapat disimulasikan dengan menggunakan Persamaan Air Dangkal atau Shallow Water Equations (SWE). Salah satu fenomena nonlinear yang penting dalam aliran dangkal adalah fenomena runup. Khususnya untuk menyimulasikan fenomena runup secara akurat, perlakuan khusus pada implementasi numerik dari model gelombang harus dilakukan. Pada artikel ini, persamaan SWE diimplementasikan dengan metode Finite Volume pada grid komputasi dengan model momentum conservative staggered grid. Untuk meningkatkan performasi komputasi terutama untuk menyimulasikan domain komputasi yang besar dengan resolusi grid tinggi, pada paper ini skema numerik tersebut diimplementasikan dengan metode arsitektur OpenMP. Performansi algoritma paralel dikuantifikasi dengan menghitung speedup dan efisiensi. Dari hasil paralelisasi tersebut, didapatkan efisiensi pada waktu komputasi untuk kasus-kasus dengan jumlah grid komputasi yang besar.
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References
Adytia, D. (2019). Momentum Conservative Scheme for Simulating Wave Runup and Underwater Landslide. Indonesian Journal on Computing (Indo-JC), 4(1), 29-42.
Alfikri, M. Z., Adytia, D., & Subasita, N. (2019, March). Shock capturing staggered grid scheme for simulating dam-break flow and runup. In Journal of Physics: Conference Series (Vol. 1192, No. 1, p. 012041). IOP Publishing.
Sri Redjeki Pudjaprasetya and Ikha Magdalena. Momentum conservative scheme for shallow water flows. East Asian J. Appl. Math.(EAJAM), 4(2):152–165, 2014.
F. Bouchut, Nonlinear stability of finite Volume Methods for hyperbolic conservation laws: And Well-Balanced schemes for sources. Springer Science & Business Media, 2004.
E. Audusse, F. Bouchut, M. Bristeau, R. Klein, and B. Perthame. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM Journal on Scientic Computing, 25(6):20502065, 2004.
Patrick J. Lynett, Tso-Ren Wu, Philip L. –F. Liu. Modelling Wave Runup with Depth-Integrated Equations. Coastal Engineering 46 : 89-107, 2002.
G. Stelling and S. P. A. Duinmeijer. A staggered conservative scheme for every froude number in rapidly varied shallow water flows. International Journal for Numerical Methods in Fluids, 43(12):1329–1354, 2003.
David Doyen and Putu Harry Gunawan. An explicit staggered finite volume scheme for the shallow water equations. In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, pages 227–235. Springer, 2014.
W. C. Thacker, Some exact solutions to the nonlinear shallow-water wave equations in Journal of Fluid Mechanics, vol. 107, pp. 499–508, 1981.
O. Delestre, S. Cordier, F. James, and F. Darboux, “Simulation of rainwater overland-flow,†in 12th International Conference on Hyperbolic Problems, vol. 67. American Mathematical Society, 2008, pp. 537–546.
Adytia, D., S. R. Pudjaprasetya, and D. Tarwidi. â€Modeling of wave runup by using staggered grid scheme implementation in 1D Boussinesq model.†Computational Geosciences (2019): 1-19.
Glaister, P. (1988). Approximate Riemann solutions of the shallow water equations. Journal of Hydraulic Research, 26(3), 293–306.
VILA, J. P., Simplified Godunov Schemes for 2x 2 Systems of Conservation Laws. SIAM J. Numer. Anal. 23, 1986. p. 1173.
Zhang, S., Xia, Z., Yuan, R., & Jiang, X. (2014). Parallel computation of a dam-break flow model using OpenMP on a multi-core computer. Journal of Hydrology, 512, 126–133.
Khairul Sabri, Hasbi Rabbani, Putu Harry Gunawan. OpenMP Performance for Benchmark 2D Shallow Water Equations Using LBM. Telkom University, School of Computing, Bandung. 2018
P.H. Gunawan, S. Juliati, M. R. Pahlevi, D. Adytia. Openmp and MPI Architectures for Simulating 1D Water Oscillation on Parabolic Domain. In International Journal of Engineering & Technology, 8 (1.9) (2019) 230-236
P. H. Gunawan, “Scientific parallel computing for 1d heat diffusion problem based on openmp,†in Information and Communication Technology(ICoICT), 2016 4th International Conference on. IEEE, 2016, pp. 1–5.
