advection-diffusion
Alternating Group Explicit Iterative Methods for One Dimensional Advection Diffusion Equation
... to advection-diffusion equation include finite difference me- thods, Galerkin methods, spectral methods, wavelet based finite elements and several ...one-dimensional advection diffusion ...
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An Analytical Approach for One Dimensional Advection Diffusion Equation with Temporally Dependent Variable Coefficients of Hyperbolic Function in Semi Infinite Porous Domain
... dependent advection-dispersion equation in finite homogeneous porous media was examined by Jaiswal et ...of advection diffusion equation for contaminant transport in two-dimensional homogeneous ...
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Analytical Solution to the One Dimensional Advection Diffusion Equation with Temporally Dependent Coefficients
... Previous investigations have established that the lon- gitudinal dispersion coefficient was directly proportional to Darcy velocity for a broad range of Reynold’s number. Taking advantage of this relationship, analytical ...
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Comparative Study of the Adomian Decomposition Method and Alternating Direction Implicit (ADI) for the Resolution of the Problems of Advection Diffusion Reaction
... [8] Ding, H.F. and Zhang, Y.X. (2009) A New Diffence Scheme with High and Absolute Stability for Solving Convection-Diffusion Equations. Journal of Computational and Applied Mathematics , 230, 600-606. ...
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Two Modified QUICK Schemes for Advection Diffusion Equation of Pollutants on Unstructured Grids
... In present study, a two-dimensional advection-diffusion equation of pollutants is discretized by compounds of dif- ferent time schemes and different convective flux schemes. The former includes UDS and ...
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Discontinuous Galerkin Methods for Advection Diffusion Reaction Problems on Anisotropically Refined Meshes
... of advection, diffusion, and reac- tion processes arises in many application ...the diffusion is often small (compared to the magnitude of the advection and/or reaction), degenerate, or even ...
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Evolving surface finite element methods for random advection diffusion equations
... Remark 2.1. Replacing classical derivatives in time by weak derivatives leads to a weak material derivative ∂ • u ∈ L 2 V ∗ . It coincides with the strong material derivative for sufficiently smooth functions. As we will ...
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Discontinuous Legendre Wavelet Galerkin Method for One Dimensional Advection Diffusion Equation
... This paper presents discontinuous Legendre wavelet Galerkin (DLWG) approach for solving one- dimensional advection-diffusion equation (ADE). Variational formulation of this type equation and corresponding ...
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A new approach to solve the time dependent three dimensional advection diffusion equation applied to model air pollution dispersion in the planetary boundary layer
... three-dimensional advection-diffusion equation to simulate the pollutant dispersion in the Planetary Boundary Layer ...the advection-diffusion equation is solved using a combination of the ...
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Sensitivity analysis of pollutant dispersion from petroleum refining process using advection diffusion equation: a mathematical modeling approach
... dimensional advection-diffusion equation is used to simulate the pollutant ...the diffusion coefficient are of wind doubled, it reduces the concentration of the pollutant in the ground ...
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Air Pollution Steady State Advection Diffusion Equation: The General Three Dimensional Solution
... (Advection Diffusion Multilayer Method) method, for a limited ABL and general wind and eddy diffusivities vertical profiles, but expressed by a stepwise function (see also ...
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A comparison of some numerical methods for the advection diffusion equation
... one-dimensional advection equa- tion by using a spline interpolation technique that they call a quasi-Lagrangian cubic spline ...dimensional advection-diffusion equation by using cubic spline ...
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Crouzeix Raviart MsFEM with bubble functions for diffusion and advection diffusion in perforated media
... lead to various oversampling methods, see (Efendiev and Hou, 2009), (Chu et al., 2008), (Henning and Peterseim, 2012), (Efendiev et al., 2013). The non-conforming nature of Crouzeix-Raviart element, see (Crouzeix and ...
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Time periodic solutions of advection diffusion equations on moving hypersurfaces
... the advection-diffusion equation on the moving hypersur- face Γ(t) as an advection-diffusion equation with time-dependent coefficients on a fixed reference hypersurface M ...
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An hr adaptive discontinuous Galerkin method for advection diffusion problems
... We point out that, while on the one hand, considerable progress has been made on both the a posteriori error analysis of finite element meth- ods for a wide range of partial differential equations of practical interest, ...
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Channel modeling for diffusive molecular communication a tutorial review
... govern diffusion, advection, and chemical reactions in MC channels and constitute the essential mathematical tools from biology, chemistry, and physics required for the development of MC channel ...
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Numerical solution of advection–diffusion type equation by modified error correction scheme
... nonlinear advection–diffusion type equation is one of the popular and important models describing many phenomena derived from various areas of mathematical physics and engineering fields such as gas dynamics, ...
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The trapping in high-shear regions of slender bacteria undergoing chemotaxis in a channel
... rotational diffusion is of a similar magnitude to flow-induced ...as diffusion in physical space, and demonstrates the utility of an alternative framework, that of the Smoluchowski equation, which is still ...
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Reaction infiltration instability in a compacting porous medium
... Aharonov et al. (1995) obtained numerical results showing the systematic dependence on reaction rate (Damk¨ ohler number) and diffusion rate (P´eclet number), but did not consider the co-variation of these ...
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Algorithm for mesoscopic advection diffusion
... Abstract—In this paper, an algorithm is presented to calculate the transition rates between adjacent mesoscopic subvolumes in the presence of flow and diffusion. These rates can be integrated in stochastic ...
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