A parallel h-adaptive finite element model for atmospheric transport prediction

Pepper, Darrell W.; Carrington, David B.; Lombardo, Joseph M.

doi:10.1016/s0965-9978(98)00042-8

Cited by 6 publications

(5 citation statements)

References 8 publications

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“…The three-dimensional version, which also runs on enhanced PCs, is best run on workstation level computers to take advantage of the workstation's enhanced graphical display capabilities. A version of the three-dimensional algorithm has been optimized for running on an SGI Origin 2000 parallel computer [14]. The inclusion of p-adaptation with the h-adapting algorithm is under investigation.…”

Section: Discussionmentioning

confidence: 99%

Application ofh-adaptation for environmental fluid flow and species transport

Pepper

Carrington

1999

Int. J. Numer. Meth. Fluids

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Section: Discussionmentioning

confidence: 99%

Application ofh-adaptation for environmental fluid flow and species transport

Pepper

Carrington

1999

Int. J. Numer. Meth. Fluids

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“…where h e is the element size, = coth ÿ=2 − 2=ÿ with ÿ = h e |V|=2K e , and K e is an e ective di usion in the direction of the local velocity vector [6]. This weighting introduces selective artiÿcial di usion into the numerical scheme that acts along the local streamline.…”

Section: The Finite Element Methodsmentioning

confidence: 99%

“…Pressure is obtained from the solution of a Poisson equation based on the discrete momentum equations. A time dependent form of the continuity equation is used to correct the velocities [6]. An explicit forward-in-time Euler scheme advances the discretized equations in time.…”

Section: The Finite Element Methodsmentioning

confidence: 99%

“…The gradient method has been shown to be su cient [8] for mass transport processes when determining where adaptation is to be applied. A relative measure of the deformation rate can be found by inspecting gradients across each element and relating each gradient to a normalized value found from inspecting the entire ow ÿeld [6], which can be accomplished in either the global or local co-ordinate domains.…”

Section: Mesh Adaptationmentioning

confidence: 99%

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Predicting winds and air quality within the Las Vegas Valley

Carrington

Pepper

2002

Commun. Numer. Meth. Engng.

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SUMMARYA ÿnite element model that employs local mesh adaptation is used to calculate wind ÿelds and pollutant transport within the Las Vegas Valley. Meteorological data collected from various country, city, and government agencies are used to generate diagnostic ow ÿelds, which subsequently provide initial conditions for the prognostic solution of the time-dependent equations of motion and species transport.

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“…(1). Pepper, et al (1998) used the above scheme to help set initial conditions for more refined prognostic simulations employing finite elements. Chen, et al (1999) successfully used it to provide meteorological inputs for predicting the transport of a power plant plume over Grand Canyon National Park.…”

Section: A Terrain-following Coordinate (Again Renamed σ Here) Is Intmentioning

confidence: 99%

Three-Dimensional Wind Field Modeling: A Review

Homicz

2002

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Over the past several decades, the development of computer models to predict the atmospheric transport of hazardous material across a local (on the order of 10s of km) to mesoscale (on the order of 100s of km) region has received considerable attention, for both regulatory purposes, and to guide emergency response teams. Wind inputs to these models cover a spectrum of sophistication and required resources. At one end is the interpolation/ extrapolation of available observations, which can be done rapidly, but at the risk of missing important local phenomena. Such a model can also only describe the wind at the time the observations were made. At the other end are sophisticated numerical solutions based on socalled Primitive Equation models. These prognostic models, so-called because in principle they can forecast future conditions, contain the most physics, but can easily consume tens of hours, if not days, of computer time. They may also require orders of magnitude more effort to set up, as both boundary and initial conditions on all the relevant variables must be supplied. The subject of this report is two classes of models intermediate in sophistication between the interpolated and prognostic ends of the spectrum. The first, known as mass-consistent (sometimes referred to as diagnostic) models, attempt to strike a compromise between simple interpolation and the complexity of the Primitive Equation models by satisfying only the conservation of mass (continuity) equation. The second class considered here consists of the so-called linear models, which purport to satisfy both mass and momentum balances. A review of the published literature on these models over the past few decades was performed. Though diagnostic models use a variety of approaches, they tend to fall into a relatively few welldefined categories. Linear models, on the other hand, follow a more uniform methodology, though they differ in detail. The discussion considers the theoretical underpinnings of each category of the diagnostic models, and the linear models, in order to assess the advantages and disadvantages of each. It is concluded that diagnostic models are the better suited of the two for predicting the atmospheric dispersion of hazardous materials in emergency response scenarios, as the linear models are only able to accommodate gently-sloping terrain, and are predicated on several simplifying approximations which can be difficult to justify a priori. Of the various approaches used in diagnostic modeling, that based on the calculus of variations appears to be the most objective, in that it introduces the fewest number of arbitrary parameters. The strengths and weaknesses of models in this category, as they relate to the activities of Sandia's Nuclear Emergency Support Team (NEST), are further highlighted.

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A parallel h-adaptive finite element model for atmospheric transport prediction

Cited by 6 publications

References 8 publications

Application ofh-adaptation for environmental fluid flow and species transport

Application ofh-adaptation for environmental fluid flow and species transport

Predicting winds and air quality within the Las Vegas Valley

Three-Dimensional Wind Field Modeling: A Review

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