False diffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more accurate central difference scheme can be used for the convection term, but for grids with cell Peclet number more than 2, the central difference scheme is unstable and the simpler upwind scheme is often used. The resulting error from the upwind differencing scheme has a diffusion-like appearance in two- or three-dimensional co-ordinate systems and is referred as "false diffusion". False-diffusion errors in numerical solutions of convection-diffusion problems, in two- and three-dimensions, arise from the numerical approximations of the convection term in the conservation equations. Over the past 20 years many numerical techniques have been developed to solve convection-diffusion equations and none are problem-free, but false diffusion is one of the most serious problems and a major topic of controversy and confusion among numerical analysts.
Falsediffusion is a type of error observed when the upwind scheme is used to approximate the convection term in convection–diffusion equations. The more...
marked giving diffusion-like appearance, called as the falsediffusion. Refinement of grid serves in overcoming the issue of falsediffusion. With decrease...
between single phases are based on numerical diffusion and can be decreased by mesh refining. Falsediffusion Numerical dispersion Numerical error Analysis...
analytical solution of the convection diffusion equation. This scheme is also very effective in removing Falsediffusion error. The power-law scheme interpolates...
Turbulent diffusion is the transport of mass, heat, or momentum within a system due to random and chaotic time dependent motions. It occurs when turbulent...
Surface diffusion is a general process involving the motion of adatoms, molecules, and atomic clusters (adparticles) at solid material surfaces. The process...
conduction Churchill–Bernstein equation Fourier number Biot number Falsediffusion Heat Conduction General equation of heat transfer Dai; et al. (2015)...
several times a second. A cine film was used to record the images. The diffusion cloud chamber was developed in 1936 by Alexander Langsdorf. This chamber...
Rotational diffusion is the rotational movement which acts upon any object such as particles, molecules, atoms when present in a fluid, by random changes...
stable Numerical diffusion — diffusion introduced by the numerical method, above to that which is naturally present Falsediffusion Numerical dispersion...
dynamics there are many solution methods for solving the steady convection–diffusion equation. Some of the used methods are the central differencing scheme...
The rapid spread of false stories on social media during the 2012 elections in Italy has been documented, as has diffusion of false stories on Facebook...
propagated. Misinformation can include inaccurate, incomplete, misleading, or false information as well as selective or half-truths. Much research on how to...
text-to-image artificial intelligence image generation systems such as Stable Diffusion, Midjourney and DALL-E, and text-to-video AI generators such as Sora....
activity. Artificiality often carries with it the implication of being false, counterfeit, or deceptive. The philosopher Aristotle wrote in his Rhetoric:...
containing image analysis and statistical tools for functional, structural and diffusion MRI brain imaging data. FSL is available as both precompiled binaries...
cold freshwater from an iceberg. Another example of double diffusion is the formation of false bottoms at the interface of sea ice and under-ice meltwater...
like Arianism, Pelagianism, Donatism, Marcionism and Montanism. The diffusion of the almost Manichaean sect of Paulicians westwards gave birth to the...
also known as a linguistic area, area of linguistic convergence, or diffusion area, is a group of languages that share areal features resulting from...
is trained or used. This includes text-to-image models such as Stable Diffusion and large language models such as ChatGPT. As of 2023, there are several...
requires proof that the announcement is both provably false, and has actual or likely market impact. False or misleading announcements designed to influence...
During the 1980s, many artists who worked with holography helped the diffusion of this so-called "new medium" in the art world, such as Harriet Casdin-Silver...
to a kind of person prophesied by the Bible to oppose Jesus Christ and falsely substitute themselves as a savior in Christ's place before the Second Coming...
descriptive term. Important characteristics: lack a vascular blood system diffusion and osmosis circulate nutrients and waste products throughout the body...
creator of the initial GPT series of large language models; DALL·E 2, a diffusion model used to generate images; and Whisper, a speech transcription model)...
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