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Computational science, also known as scientific computing, technical computing or scientific computation ( SC ), is a division of science that uses advanced computing capabilities to understand and solve complex physical problems. This includes. Algorithms ( numerical and non-numerical): mathematical models, computational models, and computer ...
In geology, numerical modeling is a widely applied technique to tackle complex geological problems by computational simulation of geological scenarios. Numerical modeling uses mathematical models to describe the physical conditions of geological scenarios using numbers and equations. [2] Nevertheless, some of their equations are difficult to ...
History Main article: Timeline of meteorology Ancient forecasting In 650 BC, the Babylonians predicted the weather from cloud patterns as well as astrology. In about 350 BC, Aristotle described weather patterns in Meteorologica. Later, Theophrastus compiled a book on weather forecasting, called the Book of Signs. Chinese weather prediction lore extends at least as far back as 300 BC, which was ...
Elements of a mathematical model. Mathematical models can take many forms, including dynamical systems, statistical models, differential equations, or game theoretic models. These and other types of models can overlap, with a given model involving a variety of abstract structures. In general, mathematical models may include logical models.
Computational fluid dynamics ( CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to analyze and solve problems that involve fluid flows. Computers are used to perform the calculations required to simulate the free-stream flow of the fluid, and the interaction of the fluid ( liquids and gases) with surfaces ...
FlexPro is a program for data analysis and presentation of measurement data. It provides a rich Excel-like user interface and its built-in vector programming language FPScript has a syntax similar to MATLAB. FreeMat, an open-source MATLAB-like environment with a GPL license. GNU Octave is a high-level language, primarily intended for numerical ...
The method of lines (MOL, NMOL, NUMOL [1] [2] [3]) is a technique for solving partial differential equations (PDEs) in which all but one dimension is discretized. By reducing a PDE to a single continuous dimension, the method of lines allows solutions to be computed via methods and software developed for the numerical integration of ordinary ...
Direct numerical simulation. A direct numerical simulation ( DNS) [1] [2] is a simulation in computational fluid dynamics (CFD) in which the Navier–Stokes equations are numerically solved without any turbulence model. This means that the whole range of spatial and temporal scales of the turbulence must be resolved.