Semi-Infinite Structure Analysis with Bimodular Materials with Infinite Element

The modulus of elasticity of some materials changes under tensile and compressive states is simulated by constructing a typical material nonlinearity in a numerical analysis in this paper. The meshless Finite Block Method (FBM) has been developed to deal with 3D semi-infinite structures in the bimodular materials in this paper. The Lagrange polynomial interpolation is utilized to construct the meshless shape function with the mapping technique to transform the irregular finite domain or semi-infinite physical solids into a normalized domain. A shear modulus strategy is developed to present the nonlinear characteristics of bimodular material. In order to verify the efficiency and accuracy of FBM, the numerical results are compared with both analytical and numerical solutions provided by Finite Element Method (FEM) in four examples.

Using a cubic B-spline method in conjunction with a one-step optimized hybrid block approach to solve nonlinear partial differential equations

In this paper, we develop an optimized hybrid block method which is combined with a modified cubic B-spline method, for solving non-linear partial differential equations. In particular, it will be applied for solving three well-known problems, namely, the Burgers equation, Buckmaster equation and FitzHugh–Nagumo equation. Most of the developed methods in the literature for non-linear partial differential equations have not focused on optimizing the time step-size and a very small value must be considered to get accurate approximations. The motivation behind the development of this work is to overcome this trade-off up to much extent using a larger time step-size without compromising accuracy. The optimized hybrid block method considered is proved to be A-stable and convergent. Furthermore, the obtained numerical approximations have been compared with exact and numerical solutions available in the literature and found to be adequate. In particular, without using quasilinearization or filtering techniques, the results for small viscosity coefficient for Burgers equation are found to be accurate. We have found that the combination of the two considered methods is computationally efficient for solving non-linear PDEs.

Regional scalp block – the key analgesic element of anesthesia for supratentorial craniotomy

This paper presents the key data on the effectiveness and safety of the regional anesthesia of the scalp, also known as the scalp block, for providing perioperative analgesia for supratentorial craniotomy. The authors describe the technique and its limitations and also trace the implementation of the scalp block method into the routine practice of the largest Russian neurosurgical clinic based on personal experience, results of the own research, and analysis of literature data.

One–Step Hybrid Block Scheme for the Numerical Approximation for Solution of Third Order Initial Value Problems

In this research, we have proposed the simulation of linear block algorithm for modeling third order highly stiff problem without reduction to a system of first order ordinary differential equation, to address the weaknesses in reduction method. The method is derived using the linear block method through interpolation and collocation. The basic properties of the block method were recovered and was found to be consistent, convergent and zero-stability. The new block method is been applied to model third order initial value problems of ordinary differential equations without reducing the equations to their equivalent systems of first order ordinary differential equations. The result obtained on the process on some sampled modeled third order linear problems give better approximation than the existing methods which we compared our result with.

Environmental flow assessment of Kayan River: managing sustainability indicator of hydropower project

Nowadays, constructing a new hydropower plant is one of the most attractive solutions to overcome energy requirements. The Kayan Hydroelectric, built in the Kayan River, is projected to generate electricity of nine hundred megawatts. However, the dams have to be managed appropriately since alteration of river discharge will have a significant impact on the environment. This paper proposes an environmental flow assessment as an appropriate indicator to manage sustainability. Three environmental flow assessment methods were used: Flow Duration Curve Analysis (FDCA), Tennant method, and Building Block method. The environmental flow pattern was used as a benchmark to evaluate whether the operation rule of the dams fulfilled the sustainable requirement, particularly on the hydrological pattern of the river. Regarding the Tennant and FDCA method, the minimum discharge that has to be maintained for the minimum environmental flow of the river is about twenty-five cms (corresponds to ten percent of AFF) and thirty-five cms, respectively. Meanwhile, the Building block method informs a range of discharge from a hundred cms to twenty thousand cms during the flood. The environmental flow should be managed to guarantee that the river’s ecosystem and carrying capacity can be preserved.

A New Special 15-Step Block Method for Solving General Fourth Order Ordinary Differential Equations

A new higher-implicit block method for the direct numerical solution of fourth order ordinary differential equation is derived in this research paper. The formulation of the new formula which is 15-step, is achieved through interpolation and collocation techniques. The basic numerical properties of the method such as zero-stability, consistency and A-stability have been examined. Investigation showed that the new method is zero stable, consistent and A-stable, hence convergent. Test examples from recent literature have been used to confirm the accuracy of the new method.

Perencanaan Sistem Drainase di Kawasan Sungai Anak Jaya Setia 1 Kabupaten Bungo Provinsi Jambi

Sungai Anak Jaya Setia 1 yang terletak di Kabupaten Bungo sering mengalami banjir. Saluran drainase yang ada masih berupa saluran drainase alami. Tujuan utama dalam penelitian ini adalah menganalisa perhitungan saluran drainase di daerah Sungai Anak Jaya Setia 1 dengan debit banjir rencana 5 tahun untuk saluran sekunder, merencanakan Storage sebagai pembuangan akhir dari saluran drainase, Membandingkan menggunakan Storage sebagai membuangan akhir dan tanpa Stoarge. Data-data yang digunakan pada penelitian ini adalah peta tata guna lahan untuk penentuan persentase impervious area, data hujan. Seri data hujan yang digunakan merupakan data hujan jam-jaman. Maka dari itu perlunya melakukan modifikasi pada data curah hujan, penentuan distribusi hujan jam-jaman dilakukan dengan mengubah lengkung Intensitas-Durasi-Frekuensi (IDF) untuk periode ulang 5 tahun menjadi hyetograph hujan rencana dengan menggunakan Alternating Block Method (ABM). Setelah semua parameter input EPA SWMM 5.1 ditentukan dan diinputkan sehingga simulasi dapat dilakukan. Kualitas simulasi cukup baik apabila continuity error untuk limpasan permukaan dan penelusuran aliran < 10%. Simulasi yang dilakukan pada penelitian ini dibagi menjadi 2 skenario. Dari 2 skenario yang dilakukan jumlah titik banjir pada skenario 1 berjumlah 4 titik yang berada pada Junc 4, Junc 11, Junc 15 dan Junc 16. Sedangkan pada skenario 2 dengan di tambakannya Storage sebagai tempat penampungan air sementara sebelum di alirkan ke Outall terdapat 2 titik banjir yaitu pada Junc 12 dan Storage 2. Hal ini menunjukkan bahwa menambahkan storage sebagai tempat pembuangan cukup membantu mengurangi titik banjir.