Judul: Analysis of Drainage Capacity in the Bima Stadium Area, Cirebon City as a Flood Control Effort
Abstrak: Drainase merupakan salah satu infrastruktur perkotaan yang penting. Saluran drainase memegang peranan penting dalam mengendalikan limpasan yang terjadi pada suatu daerah saat hujan dalam waktu lama. Buruknya sistem drainase di suatu daerah, terutama perkotaan, dapat mengakibatkan terjadinya genangan yang dapat mempengaruhi kesehatan lingkungan. Penelitian ini dilakukan untuk mengetahui besarnya debit dan limpasan yang terjadi di kawasan Stadion Bima serta menganalisis kesesuaian kondisi eksisting saluran drainase dengan besarnya limpasan yang terjadi di kawasan Stadion Bima. Pengukuran debit dan limpasan dilakukan menggunakan aplikasi SWMM 5.1 dengan membutuhkan data curah hujan, peta tutupan lahan, dan peta kontur. Berdasarkan hasil simulasi, limpasan terbesar terjadi pada subcatchment SC18 dengan total limpasan sebesar 129,09 mm dengan rata-rata limpasan sebesar 100,75 mm. Selain itu berdasarkan simulasi terdapat satu saluran yang meluap yaitu saluran CN4. Perbaikan saluran CN4 dilakukan dengan mengubah dimensi saluran. Dimensi saluran awal 0,58 m x 0,66 m kemudian diubah menjadi 1 m x 0,66 m. Berdasarkan perbaikan yang dilakukan, diperlukan biaya sebesar Rp 29.409.000., Drainage is one of the most important urban infrastructure. Drainage channels play an important role in controlling runoff that occurs in an area when it rains for a long time. Poor drainage system in an area, especially urban areas, can result in inundation which can affect environmental health. This research was conducted to find out the amount of flow and runoff that occurred in the Bima Stadium area and to analyze the suitability of the existing condition of the drainage channel with the amount of runoff that occurred in the Bima Stadium area. Measurements of flow and runoff are carried out using the SWMM 5.1 application by requiring data of rainfall, land cover maps, and contour maps. Based on the simulation results, the largest runoff occurred in the SC18 subcatchment with a total runoff of 129,09 mm with an average runoff of 100,75 mm. In addition, based on the simulation, there is one overflow channel, namely the CN4 channel. Improvements to the CN4 channel are carried out by changing the channel dimensions. The dimensions of the initial channel were 0.58 m x 0.66 m and then changed to 1 m x 0.66 m. Based on the repairs made, it costs Rp 29.409.000.
Keyword: Drainase, Limpasan, SWMM

Judul: Evaluasi Sistem Saluran Drainase di Perumahan Pondok Safari Indah, Tangerang Selatan
Abstrak: Perumahan Pondok Safari Indah mengalami banjir beberapa tahun belakangan ini apabila curah hujan tinggi dan durasi hujan lama. Penelitian difokuskan pada lokasi banjir di Blok C dan Blok D Perumahan Pondok Safari Indah. Penelitian bertujuan untuk mengevaluasi kesesuaian saluran drainase dengan debit limpasan yang terjadi. Luas lokasi penelitian sebesar ±3,4 Ha. Data yang digunakan berupa dimensi saluran, elevasi saluran, data curah hujan harian maksimum, peta topografi dan peta tutupan lahan. Data yang diperoleh digunakan untuk pemodelan saluran drainase dengan menggunakan program EPA SWMM 5.2. Setelah dilakukan pengujian pada 4 metode distribusi, maka curah hujan rencana dianalisis dengan distribusi log Pearson III, dan diperoleh curah hujan rencana sebesar 102,58 mm untuk periode ulang 2 tahun. Jaringan saluran drainase yang ada terdiri atas 34 subcatchment (SC), 72 junction node (JN), 71 counduit (CN), dan 1 outfall node (OR). Debit aliran maksimum sebesar 0,157 m3/detik. Dari hasil simulasi kapasitas saluran drainase sesuai dengan debit limpasan tetapi ada 2 saluran yang tidak mampu menampung limpasan. Pada CN 10 dan 11 terjadi luapan karena terdapat sedimen masing-masing setinggi 0,18 m dan 0,15 m. Kapasitas saluran CN 10 sebesar 0,115 m3/detik sedangkan debit simulasi sebesar 0,117 m3/detik. Saluran drainase mampu menampung dan mengalirkan air dengan baik bila dilakukan pembersihan dan pengerukan sedimen pada saluran drainase secara berkala., Pondok Safari Indah Residence has experienced flooding in recent years while the rainfall was heavy and long. The research focused on flood locations in Block C and Block D of Pondok Safari Indah Residence. The study aimed to evaluate the suitability of drainage channels with runoff discharge. The surface of research area was ± 3,4 Ha. This research used data of channel dimension channel elevation, maximum daily rainfall, topographic maps and land cover maps. These data were used for modeling drainage channels using the EPA SWMM 5.2 program. After testing 4 distribution methods, the planned rainfall was analyzed with the log Pearson III distribution, and a planned rainfall of 102,58 mm was obtained for the 2-year rainfall return period. The existing drainage channels system consist of 34 subcatchment (SC), 72 junction nodes (JN), 71 counduit (CN), and 1 outfall node (OR). The maximum flow discharge is 0,157 m3/sec. From the simulation results, the capacity of the drainage channel is in accordance with the runoff discharge, but there are 2 channels that are not able to accommodate runoff. CN 10 and 11 overflowed because there was sediment as high as 0,18 m and 0,15 m respectively. The CN 10 channel capacity was 0,115 m3/sec while the simulated discharge was 0,117 m3/sec. The drainage channel were able to accommodate and drain water properly, if the drainage channels were cleaned and the sediments were dredged periodically.
Keyword: EPA SWMM, flooding, precipitation, sediment

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
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