Aplikasi Metode Beda Hingga Crank-Nicholson Implisit untuk Menentukan Kasus Adveksi-Difusi 2D pada Sebaran Polutan Di Suatu Perairan
DOI:
https://doi.org/10.26418/pf.v4i2.15851Abstract
Telah ditentukan pola sebaran konsentrasi polutan pada sungai sintetik dan Sungai Kapuas menggunakan metode beda hingga Crank-Nicholson Implisit. Metode ini digunakan untuk menyelesaikan kasus adveksi-difusi 2D pada sebaran konsentrasi polutan dan membandingkannya dengan metode analitik. Pada sungai sintetik, RMSE yang didapat untuk kasus adveksi-difusi 2D proses sesaat adalah sebesar 8,19 x 10-4 dan 0,11 untuk proses kontinu. Simulasi pola sebaran konsentrasi pada Sungai Kapuas menunjukkan sebaran yang lebih jauh untuk nilai koefisien difusi yang kecil pada saat surut dibandingkan dengan saat pasang.
Kata Kunci : Persamaan Adveksi-Difusi, Crank-Nicholson, Sungai Kapuas
References
Ribal. Metode Beda Hingga Makasar, Draft Lecture Note on Finite Difference Methods: Universitas Hassanuddin; 2008.
Alman, Kusuma J, Khaeruddin, Aris N, Toaha S. Suatu Tinjauan Numerik Persamaan Adveksi Difusi 2-D Transfer Polutan dengan Menggunakan Metode Beda Hingga Dufort Frankel. KNM XVII. Surabaya; 2014.
Aminuddin. Solusi Analitik Persamaan Transpor Adveksi-Difusi 1D dan 2D Horizontal Menggunakan Teknik Transformasi Fourier Untuk Pemodelan Dispersi Polutan Di Suatu Perairan Bandung: Institut Teknologi Bandung; 1999.
Google earth V 7.1.5.1557. (04 April 2015). Sungai Kapuas, Kalimantan Barat. 0°01’10.73†S, 109°20’30.96†T, Ketinggian Mata 3340 meter. CNES/Atrium 2015. http://www.earth.google.com [2 November 2015].
Fadugba SE, Zelibe SC, Edogbanya OH. Crank Nicolson Method for Solving Parabolic Partial Differential Equations. IJA2M. 2013; 1(3): p. 8-23.
Chai T, Draxler RR. Root Mean Square Error (RMSE) or Man Absolute Error (MAE). Geoscientific Model Development. 2014;(7): p. 1247-1250.
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Date: 24-05-2023
Prisma Fisika
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