Numerical analysis

Title: Application of Self-Organization Neural Network Technique (SOM) to Optimize Finite- Element Partial Differential Equation (PDEs) Results in Square-Shaped Structures Analysis. The finite-element method (FEM) is a computationally method for solving partial differential equations (PDEs) with specific boundary conditions over a domain. When we applying the FEM to a domain, it has to divide to a finite number of elements and nodes. The collections of the elements and nodes form the finite-element mesh, whose quality is an important part in achieving exact numeric result for all finite-element codes. To achieve a high-quality mesh, we have to decide on: • The suitable size and topology of the mesh, • How it should be placed on the area,…

Obtaining a fundamental understanding of the underlying physics of granular systems is important both for academic interest and industrial applications. Experimental measurements in full three-dimensional (3D) large industry scale granular system are complicated and expensive. Computational techniques such as the Discrete Element Method (DEM) can potentially be applied as a tool to provide understanding granular machine systems dynamics, virtual equipment design and evaluation of machine…

Method: Haley F. / Andrew H. Newton’s Method, also known as Newton-Raphson method, is a method used for finding the zeros, roots or in more simple terms where any given function exactly crosses the x access. In calculus we may be presented with problems given that we cannot find a definite answer to, but we can use Newton’s Method to calculate a group of answers that get closer and closer to the actual solution. Newton’s Method has given the world of calculus a method of finding extremely…

This project consist of Numerical and Computational Fluid dynamics analysis of heat transfer enhancement and the corresponding pressure drop over a flat surface equipped with cylindrical cross-sectional perforated and solid pin fins in a rectangular channel. The channel had a cross-sectional area of 250-100 mm2. The experiments covered the following range: Reynolds number 13,500–43,500, the constant clearance ratio (C/H) = 0, the inter-fin spacing ratio (Sy/D) 1.944 and 3.417 for Staggered…

thermal fields are assumed symmetrical with respect to the axial plane . Initial condition : P(r ,0 ,0) = P0 , P(0 ,z ,0) = P0 , P(r,z,0) = P0 Boundary condition : P(r ,0 ,t) = Pinlet , P(0 ,0 ,t) = Pinlet ∂P/∂z=0 when z=0 3.3.3. Numerical Analysis…

Introduction Statistics is the practice or science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample. The following paper seeks to provide basic knowledge in some specific areas of statistical data analysis. Descriptive statistics Descriptive statistics is the term given to the analysis of data that helps describe, show or summarize data in a meaningful way. Descriptive statistics…

Dana Summers is an editorial cartoonist who wrote for the Orlando Sentimental for thirty years before leaving. His main focus for all of his editorial cartoons is politics in America, and problems surrounding said politics. Summers uses multiple different techniques to get the point across to the viewer of his cartoons. Color is one of the biggest, color sets the tone and mood for the entire cartoon whether that may be bright or dark. Another strong technique he uses is the appeal of logos,…

the conversation to continue. Whereas if the same individual was to respond by saying “ko.” The singular full stop indicates that he/she is unimpressed and he/she would like an immediate nullification of the conversation. Capital letters are used to express anger. In order to show one’s enraged state all of their acronyms or words -if at that moment, is the instance discussed previously where the English language must be incorporated with Gibba Jabber - must be capitalized . The longevity of…

The Takarazuka Revue is an all female theatre troupe based out of Japan that is coming close to its 100th year of existence. The company is characterized by its odd mixture of Eastern and Western Productions, it’s extravagantly decadent costumes, and it’s leading ladies — otokoyaku or slim, androgynously handsome, unusually tall, young women who play the male roles. While the Takarazuka Revue supposedly works to subvert gender roles in its performances, unlike its historical Shakespearian…

Part B Diagnostic Interview and Tutoring Sessions Permission was granted (Appendix A) to interview and tutor Athena*, who is a 9 year old student in Year 4 who returned to Australia in the middle of Year 3, after living in the United States for 5 years. The Mathematics Assessment Interview (MAI) was conducted on a weekend afternoon at Athena’s home shortly after lunch (Australian Catholic University, 2011b). She did not seem to be nervous and was informed that the purpose of the questions was to…