<em>CV Jaya Reksa Manggala (JRM) is one of clothing company. With increasing competition in this clothing company, the companies are required to keep improving the quality of clothing products. One of the important things in quality is reduction of product defects. One of the proven methods of quality improvement is the Six Sigma DMAIC method, which is a continous improvement method that aims to achieve the best quality. One of the products of CV JRM which is still have a lot of defects is 514 products. From the initial data obtained, DPMO value for process I and II for 514 products is 10,768.52 and 27,341.42 with sigma level 3.79 and 3.43. The steps undertaken in this Six Sigma DMAIC method include define, measure, analyze, implementation and control. Several proposed improvements were then made to reduce the problem of these defects and from the data at the control stage, the DPMO values of processes I and II became 2,941.76 and 1,812.69 with sigma levels of 4.25 and 4.41. From this result it can be said that with Six Sigma DMAIC method, there is improvement of quality for product 514 at CV JRM. </em>
The development of transient waves generated by bottom motion is studied numerically in this work. A non-hydrostatic numerical scheme, based on solving the two dimensional Euler equations using two-layer approximation for the vertical direction, is implemented. The dispersion relation of this scheme is shown to agree with the analytical dispersion relation over a wide range of kd 0 , where k denotes the wave number and d 0 the characterustic water depth. To ensure that a good balance between non-linearity and dispersion is accommodated by the scheme, the propagation of a solitary wave (undisturbed in shape) was simulated. Our next focus was on the simulation of transient waves generated by bottom motion. After conducting a benchmark test against Hammack's experimental results for downward bottom motion, an anti-symmetric bottom thrust was considered. The resulting transient waves developed different behavior depending on the water depth. Finally, to mimic the December 2004 tsunami, a seabed motion was generated over Aceh bathymetry. This simulation showed that a package of wave trains developed and propagated towards the Aceh coast, and exhibited inter alia the feature of shoreline withdrawal often observed.
Abstract. Generation process is an important part of understanding waves, especially tsunami. Large earthquake under the sea is one major cause of tsunamis. The sea surface deforms as a response from the sea bottom motion caused by the earthquake. Analytical description of surface wave generated by bottom motion can be obtained from the linearized dispersive model. For a bottom motion in the form of a downward motion, the result is expressed in terms of an improper integral. Here, we focus on analyzing the convergence of this integral, and then the improper integral is approximated into a finite integral so that the integral can be evaluated numerically. Further, we simulate free surface elevation for three different types of bottom motions, classified as impulsive, intermediate, and slow movements. We demonstrate that the wave propagating to the right, with a depression as the leading wave, followed with subsequent wave crests. This phenomena is often observed in most tsunami events.Key words: Analytical solution, dispersive waves, bottom motion. Abstrak. Proses pembangkitan adalah satu bagian penting dari pemahaman gelombang, khususnya tsunami. Gempa besar di bawah laut merupakan salah satu penyebab utama tsunami. Permukaan laut terdeformasi sebagai respon dari gerakan dasar laut akibat gempa. Deskripsi analitis dari gelombang permukaan yang dihasilkan oleh gerakan dasar laut dapat diperoleh dari model linier dispersif. Untuk gerakan dasar ke bawah, formulasi analitik elevasi gelombang permukaan dinyatakan dalam bentuk integral tak wajar. Pada paper ini, kita fokus pada analisis kekonvergenan integral tersebut dan integral tak wajarnya kita hampiri dengan sebuah integral batas hingga dan selanjutnya kita hitung secara numerik. Setelah itu kita simulasikan elevasi permukaan yang timbul akibat tiga jenis gerakan dasar, yaitu gerakan impulsif, menengah, dan lambat. Hasil yang diperoleh menunjukkan bahwa gelombang yang terbentuk merambat ke kanan, diawali dengan gelombang negatif utama yang diikuti dengan deretan gelombang-gelombang kecil (ripple) dibelakangnya. Fenomena semacam ini sering kita temui pada kebanyakan peristiwa tsunami.
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