Abstract
Two methods that can be used to solve complex, three-dimensional, advection-diffusion transport equations are investigated. A quasi-Lagrangian cubic spline method and a chapeau function method are compared in advecting a passive scalar. The methods are simple to use, computationally fast, and reasonably accurate. Little numerical dissipation is manifested by the schemes. In simple advection tests with equal mesh spacing, the chapeau function method maintains slightly more accurate peak values than the cubic spline method. In tests with unequal mesh spacing, the cubic spline method has less noise, but slightly more damping than the standard chapeau method has. Both cubic splines and chapeau functions can be used to solve the three-dimensional problem of gaseous emissions dispersion without excessive programing complexity or storage requirements. (10 diagrams, 39 references, 2 tables)
Citation Formats
Pepper, D W, Kern, C D, and Long, P E.
Modeling the dispersion of atmospheric pollution using cubic splines and chapeau functions.
United Kingdom: N. p.,
1979.
Web.
doi:10.1016/0004-6981(79)90165-3.
Pepper, D W, Kern, C D, & Long, P E.
Modeling the dispersion of atmospheric pollution using cubic splines and chapeau functions.
United Kingdom.
https://doi.org/10.1016/0004-6981(79)90165-3
Pepper, D W, Kern, C D, and Long, P E.
1979.
"Modeling the dispersion of atmospheric pollution using cubic splines and chapeau functions."
United Kingdom.
https://doi.org/10.1016/0004-6981(79)90165-3.
@misc{etde_5325175,
title = {Modeling the dispersion of atmospheric pollution using cubic splines and chapeau functions}
author = {Pepper, D W, Kern, C D, and Long, P E}
abstractNote = {Two methods that can be used to solve complex, three-dimensional, advection-diffusion transport equations are investigated. A quasi-Lagrangian cubic spline method and a chapeau function method are compared in advecting a passive scalar. The methods are simple to use, computationally fast, and reasonably accurate. Little numerical dissipation is manifested by the schemes. In simple advection tests with equal mesh spacing, the chapeau function method maintains slightly more accurate peak values than the cubic spline method. In tests with unequal mesh spacing, the cubic spline method has less noise, but slightly more damping than the standard chapeau method has. Both cubic splines and chapeau functions can be used to solve the three-dimensional problem of gaseous emissions dispersion without excessive programing complexity or storage requirements. (10 diagrams, 39 references, 2 tables)}
doi = {10.1016/0004-6981(79)90165-3}
journal = []
volume = {13:2}
journal type = {AC}
place = {United Kingdom}
year = {1979}
month = {Jan}
}
title = {Modeling the dispersion of atmospheric pollution using cubic splines and chapeau functions}
author = {Pepper, D W, Kern, C D, and Long, P E}
abstractNote = {Two methods that can be used to solve complex, three-dimensional, advection-diffusion transport equations are investigated. A quasi-Lagrangian cubic spline method and a chapeau function method are compared in advecting a passive scalar. The methods are simple to use, computationally fast, and reasonably accurate. Little numerical dissipation is manifested by the schemes. In simple advection tests with equal mesh spacing, the chapeau function method maintains slightly more accurate peak values than the cubic spline method. In tests with unequal mesh spacing, the cubic spline method has less noise, but slightly more damping than the standard chapeau method has. Both cubic splines and chapeau functions can be used to solve the three-dimensional problem of gaseous emissions dispersion without excessive programing complexity or storage requirements. (10 diagrams, 39 references, 2 tables)}
doi = {10.1016/0004-6981(79)90165-3}
journal = []
volume = {13:2}
journal type = {AC}
place = {United Kingdom}
year = {1979}
month = {Jan}
}