Academic literature on the topic 'Finite-difference methods; Pattern formation'

This aim of this study is to examine the application of tritik technique in creating exquisite batik pattern design. Essentially, tritik is a technique in batik pattern making that is almost similar to the “tie-and-dip” (ikat-dan- celup) technique; however, the subtle difference between the two techniques lies in the aspect of fabric treading, with the former being able to produce elegant and appealing patterns. This study used a qualitative approach using an observation method in which the researchers observed the creation of such art through studio practice. Essentially, the examination of the practice of such a technique was carried out based on direct observation and unstructured interviews, and the collection of textile products. The research findings showed the experimentation of the tritik technique in the textile pattern designs was highly effective, as evidenced by the exquisite aesthetical effects on the surface of the fabrics, such as the formation of elegant lines consisting of dots and of dashed lines and 3-dimensional texture. In addition, the research findings revealed that the quality of fabrics, the type of colors, and sewing polarity heavily influenced such exquisite tritik pattern design. Collectively, all the above elements were intertwined that helped create appealing, beautiful tritik pattern design infused with high aesthetical values.

The author explains the purport of the article. He intends to emulate the style of Descartes to the extent possible in the contemporary setup. In his 10 meditations the author attempts to grasp vital capacities of Descartes’ method and to that effect to better understand his intellectual achievements and their current relevance. Cartesian moment or creative impact of Descartes upon dynamics of intellectual advancement is a key moment (point in time) that separates old scholastic ways of reasoning from modern ones as Martin Heidegger amply affirmed in his «The Age of the World Picture». Modern way not only relies on ratio but also on individual creative abilities and personal authorship of an investigator. Hence the author explores creative capabilities of a modern researcher typified by Descartes. The author defines Cartesian methodological practice (style, manner) as distinctly personalized and to that effect subjective or self-centered. This novel methodological artifice of Descartes is coupled with typically modern distinction between subjective (personally biased) and subjectival (pertaining to an independent agency of emancipating personality or subject). Investigating self of Descartes intentionally exploits typically modern cognitive and social property of being a free cognitive agent. It may be called cognitive agency or subjectness ( субъектность , subjectnost’ ) as a counterpart to subjectivity ( субъективность , subjectivnost’ ). Respectively Heidegger while discussing unique Cartesian achievement introduces along a casual notion of subjectivity self-coined terms of Subjektsein (subject-object relations, Subjekt-Objekt-Beziehung) and Subjektität (resolute self-awareness, unbedingtes Sichwissen). It is characteristic that Heidegger carefully discriminates spontaneous personally biased Ichheit and Egoismus from consistently individually conceived Ichhaft. The article examines two epitomes of subjectness: the initial Cartesian archetype and recent Wittgensteinian prototype. While Descartes instrumentally uses it to reshape scholastic thought into a modern metaphysics (cf. «Meditationes de Prima Philosophia» of 1641 or its authorized French translation of 1647 «Les méditations métaphysiques» ), Wittgenstein respectively elaborates his own brand of philosophy of logic (cf. « Logisch-Philosophische Abhandlung » of 1921). With Descartes his actual person is nothing but ‘being on his own’ ( ens per se ). Pragmatically this difference transmutes into operation of the actual whole self of the researcher ( me totum ) with development of polar metaphysical abstractions of non-bodily and non-extensive res cogitans and bodily and non-thinking res extensa . With Wittgenstein the equally pivotal personality of researcher reduces into an intermediator (border, Grenze ) between the world and the transcendental logic. As a result, metaphysical subject (metaphysisches Subjekt) or solipsist me (Ich des Solipsismus) shrinks into a non-extensive dot (Punkt) or eye (Auge) observing the world from outside. While new-born Cartesian cognitive agent has to split within itself into res cogitans and res extensa Descartes’ disciples and followers simply ignore bodily dimension. They radically reduce the investigating self to a detached all-powerful Reason turning subjectival Cartesianism of its founder into a non-subjectival version of Cartesianism, supposedly objective and rational. Wittgenstein helps the investigator (his personal self) come back again but at the expense of limiting himself to a border between the logic and the world able to reconstruct both the logic and the world with incessant language games. In his fifth meditation the author emulates both the style and the way of reasoning typical for Descartes. He remembers his student years in Moscow Lomonosov University. First he has mastered phonological principle of distinctive features and then successfully extended its use beyond linguistics into social studies and political science. Being taught dual - fast and slow reading he learnt to skip and then to restore details. The third personal cognitive discretion utilized in investigation of any scholarly issue is the focus on its emergence, further metamorphoses and evolution. The first two have clear Cartesian formation, while the third helps them both to gain dynamism and discretions. Next meditation deals with Descartes’ idea of the (definite article) method and specific rules for applying inherent inventiveness ( rēgulae ad directionem ingenii ). This Cartesian link implies essential affinity between universal instrumentality (organon) of scientific exploration and fundamental (primeval and primitive) cognitive abilities of humans and other species. Such a polarized dual distinction has helped the Center of advanced methodologies to identify three complex transdisciplinary organons (metretics, morphetics and semiotics) rooted in the elementary cognitive abilities to tell intensity of sensations, to recognize patterns and to grasp functional relevance, potentially meaning. Simplex-complex transformations devised by the Center are instrumental in linking the utmostly complex phenomena to equally simple ones through the range of intermediate manifestations and forms. The results of the analytical transformations can be revealed in the sequences of modules related to a master prototype model. The concluding two meditations deal with cognition and its modes as well as the issue of overcoming of Cartesian dualism. The author insists that cognitive scholars’ ambitions to overcome Cartesian dualism are vain. It is Descartes’ method and style - as far as we can grasp them - that can help to overcome fatal schemes ascribed into notorious mind - body problem. The core of Descartes’ thinking is the continuous preoccupation with embodiment of the rational and emotional aspects of his whole self (total me) and disembodiment of its material aspects.

Abstract Understanding fracture initiation and propagation from perforated wellbores is essential to designing a perforation scheme to achieve an efficient hydraulic fracture stimulation treatment. The effect of perforation design on hydraulic fracture propagation has been extensively studied using experimental and analytical methods. Because the experimental investigation of hydraulic fracture is complicated, expensive, and often returns limited results, numerical methods can be applied as an efficient way to simulate fracture propagation from perforations. An Extended Finite Element Method (

Abstract A finite volume-based arbitrary fracture propagation model is used to simulate fracture growth and geomechanical stresses during hydraulic fracture treatments. Single-phase flow, poroelastic displacement, and in-situ stress tensor equations are coupled within a poroelastic reservoir domain, using a fixed-strain split assumption. The domain is idealized as two-dimensional and plane-strain, with heterogeneous elastic material and fracture toughness properties. Fracture propagation proceeds by failure along finite volume cells in excess of a threshold effective stress. The cohesive zone

A numerical analysis is performed in this study to observe the phase change and natural convection problem occurring in the confined geometry. The unsteady, incompressible 3-D Navier-Stokes equation and energy equation have been considered as governing equation in this study. In addition, numerical tools based on finite volume method were developed and those were found to be tools to analyze phase change and natural convection problem with qualitative accuracy. For verification, phase interfacial lines and flow patterns were compared to previous studies and showed good agreements for the case

Abstract Until recently, computer simulation of filling flows in die casting have been focused on the determination of the free surfaces of injected liquid and has had difficulties to relate the flows with the formation of casting porosity. Flow visualization in scaled experiments indicates that the liquid has very complicated surfaces and that, in many cases, the surfaces break up and create a mixture zone with liquid droplets and air. This is especially true in pressure die casting where liquid metal is injected at a speed in order of 100 m/s and at a pressure up to 100 atm. The Reynolds num

Abstract The newly discovered the fault-karst carbonate reservoirs in Tarim Basin are formed by large-scale tectonic fault activities and multiple-stage karstification. The ground outcrop, seismic reflection and well logging show that the large caves, vugs, tectonic fractures and matrix coexist in the reservoirs. The fractures interconnecting with caves in series to form vertical beads-on-string structure is the most common pattern. It is found that conventional models are difficult to match the recorded pressure data. To fill this gap, this work summarizes three kinds of patterns for this str

Design/optimization of the phase change recording media to create proper marks, in size, shape, and quality, needs a robust modeling tool to predict temperature distribution in the constituting layers and model the phase formation during writing/erasure of the information bits. This requires a modeling of the heat transfer (thermal performance) and the crystallization processes. The thermal modeling, which is based on the solution of the heat diffusion equation for finding temperature distribution in the multilayer media, has been done before, using the finite difference techniques. These tech

This paper introduces an “hypothesis about the growth pattern of the secondary ossification centre (SOC)”, whereby two phases are assumed. First, the formation of cartilage canals as an event essential for the development of the SOC. Second, hence the canals are merged in the central zone of the epiphysis, molecular factors are released (primarily Runx2 and MMP9) spreading and causing hypertrophy of adjacent cells. In order to test this hypothesis we solve a system of coupled partial differential equations using the finite element method and we have obtained spatio-temporal patterns of the gro

Abstract The objective of this effort is to predict ceramic matrix composites (CMC) interlaminar Mode II Crack Growth Resistance (CGR), and the design of ASTM test specimen. Currently, there are a number of test standards and American Society for Testing and Materials (ASTM) for CMC’s at both ambient and elevated temperatures; however, there are no standardized test methods for determination of interlaminar shear (Mode II) fracture toughness in CMC’s. Although research work exists on interlaminar Mode II fracture toughness of CMC’s, the test methods applied showed definite drawbacks and limita