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Numerical Integrators for Dispersion-Managed KdV Equation

Communications in Computational Physics, 2022
In this paper, we consider the numerics of the dispersion-managed Korteweg-de Vries (DM-KdV) equation for describing wave propagations in inhomogeneous media. The DM-KdV equation contains a variable dispersion map with discontinuity, which makes the solution non-smooth in time.
He, Ying, Zhao, Xiaofei
openaire   +1 more source

Numerical modelling of birch pollen dispersion in Canada

Environmental Research, 2021
Simulating allergenic tree pollen is important to protect sensitive population and to support bioaerosols monitoring effort. Using the regional air quality model GEM-MACH, a simulation was conducted adopting two new main hypotheses: 1) the use of vertical correlation concept to force the vertical dispersion (a method normally used in tracer data ...
Alain, Robichaud, Paul, Comtois
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Numerical methods and analysis for a class of fractional advection–dispersion models

open access: yesComputers and Mathematics With Applications, 2012
In this paper, a class of fractional advection–dispersion models (FADMs) is considered. These models include five fractional advection–dispersion models, i.e., the time FADM, the mobile/immobile time FADM with a time Caputo fractional derivative ...
Fawang Liu, Kevin Burrage
exaly   +2 more sources

Numerical Dispersion of Gravity Waves

Monthly Weather Review, 2009
Abstract When atmospheric gravity waves are simulated in numerical models, they are not only dispersive for physical but also for numerical reasons. Their wave properties (e.g., damping or propagation speed and direction) can depend on grid spacing as well as on the numerical schemes.
K. Heinke Schlünzen, Guido Schroeder
openaire   +3 more sources

Multidimensional Numerical Dispersion

Society of Petroleum Engineers Journal, 1983
Abstract Numerical dispersion can cause a smearing of otherwise sharp saturation fronts. The usual methods of estimating the magnitude of the smearing effect in one dimension (1D) are shown to apply in two and three dimensions (2-and 3D) as well.
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Numerical Solution to a Dispersion Equation

Journal of the Hydraulics Division, 1964
A semi-implicit numerical solution to the differential equation of dispersion in a two-dimensional open channel is developed. Some of the details of the iterative technique and the computer solution are shown. The results for turbulent flows show that the longitudinal distribution of solute concentration approaches a Gaussian (normal) pattern as the ...
Nobuhiro Yotsukura, Myron B. Fiering
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Numerical Scheme to Dispersive Shallow Water Waves

Journal of Computational and Theoretical Nanoscience, 2016
This paper studies dispersive shallow water waves modeled by Rosenau Korteweg-de Vries (KdV) Regularized long wave (RLW) equation or R-KdV-RLW equation that is considered with power law nonlinearity. The numerical algorithm is based on collocation finite element method with quintic B-splines.
Ak, Turgut   +2 more
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Numerical dispersion and absorbing boundary conditions

International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2000
Summary: Predictions of performance of exact and approximate absorbing boundary conditions (ABCs) do not take into account the fact that in an actual simulation it is numerical waves that are incident on the computational domain boundary where they are imposed. Via a model problem in rectangular co-ordinates we identify and examine this issue. Then, we
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NUMERICAL INVESTIGATION ON THE ATMOSPHERIC DISPERSION OF STACK EFFLUENTS

IBM Journal of Research and Development, 1971
This report describes a numerical method based on the best gradient-transfer theory currently available for computing pollutant concentration distributions downwind from a stack. The vertical inhomogeneity of the atmosphere and ground roughness are included in the model.
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