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CONVERGE CFD software is a multi-purpose computational fluid dynamics code for modeling three-dimensional, reacting or non-reacting, turbulent flows. The software package includes coupled flow and detailed chemical kinetics solvers, the graphical user interface CONVERGE Studio, and a license for a limited version of the post-processing and visualization software Tecplot.
The advantage of using low-discrepancy sequences is a faster rate of convergence. Quasi-Monte Carlo has a rate of convergence close to O(1/N), whereas the rate for the Monte Carlo method is O(N −0.5). [1] The Quasi-Monte Carlo method recently became popular in the area of mathematical finance or computational finance. [1]
Monte Carlo simulation: Drawing a large number of pseudo-random uniform variables from the interval [0,1] at one time, or once at many different times, and assigning values less than or equal to 0.50 as heads and greater than 0.50 as tails, is a Monte Carlo simulation of the behavior of repeatedly tossing a coin.
In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution.Given a probability distribution, one can construct a Markov chain whose elements' distribution approximates it – that is, the Markov chain's equilibrium distribution matches the target distribution.
Convergence detector Mesher Algorithm Area of application NEC: open source Yes Yes Yes In some distributions Yes manual MoM: Antenna modeling, especially in Amateur Radio. Widely used as the basis for many GUI-based programs on many platforms. Version 2 is open source, but Versions 3 and 4 are commercially licensed. Momentum: commercial Yes Yes ...
A computer simulation of high velocity air flow around the Space Shuttle during re-entry A simulation of the Hyper-X scramjet vehicle in operation at Mach-7. The fundamental basis of almost all CFD problems is the Navier–Stokes equations, which define many single-phase (gas or liquid, but not both) fluid flows.
Monte Carlo simulations (chains) are started with different initial values. The samples from the respective burn-in phases are discarded. From the samples (), …, (of the j-th simulation), the variance between the chains and the variance in the chains is estimated: . ¯ = = Mean value of chain j ¯ = = ¯ Mean of the means of all chains = = (¯ ¯) Variance of the means of the chains ...
The Milstein scheme has both weak and strong order of convergence which is superior to the Euler–Maruyama method, which in turn has the same weak order of convergence but inferior strong order of convergence . [3]