Advection-diffusion equation
Multiple-Relaxation-Time Lattice Boltzmann scheme for fractional advection–diffusion equation
... Among diverse non-Fickian transport behaviors observed in all fields of Science, heavy tailed spatial concen- tration profiles recorded on chemical species, living cells or organisms, suggest displacements more rapid ...
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One-dimensional linear advection–diffusion equation: Analytical and finite element solutions
... linear advection–diffusion equation with Dirichlet homogeneous boundary conditions and an initial sine function is solved analytically by separation of variables and numerically by the finite element ...
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On the controllability of an advection-diffusion equation with respect to the diffusion parameter: Asymptotic analysis and numerical simulations
... We investigate in this work the determination of the minimal time TM employing two distincts but complementary approaches. In a first one, we numerically estimate the cost of controllability, reformulated as the solution ...
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Asymptotic analysis of an advection-diffusion equation involving interacting boundary and internal layers
... scalar advection-diffusion equation y ε t − εy ε xx + M y ε x = 0, (x, t) ∈ (0, 1) × (0, T ) with Dirichlet boundary conditions exhibits a boundary layer of size O(ε) and an internal layer of size O( ...
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Modelling fish population movements: from an individual-based representation to an advection-diffusion equation
... state equation in which the variable is the spatial density of ...differential-integral equation describing the movements of animals satisfy, under suitable assumptions, an advection diffusion ...
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Assessing lateral flows and solute transport during floods in a conduit-flow-dominated karst system using the inverse problem for the advection-diffusion equation
... wave equation and the advection– diffusion equation, with the same mathematical approach as- suming uniform lateral flow and solutes, solving the inverse problem of the ...
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Numerical analysis of stochastic advection-diffusion equation via Karhunen-Loéve expansion
... the advection-diffusion equation and we are interested in the approximation of the mean spread and the mean dispersion of the ...The advection- diffusion equation is computed ...
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One-dimensional linear advection–diffusion equation: Analytical and finite element solutions
... linear advection–diffusion equation with Dirichlet homogeneous boundary conditions and an initial sine function is solved analytically by separation of variables and numerically by the finite element ...
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Cascadic multigrid for the advection-diffusion equation
... Unité de recherche INRIA Sophia Antipolis 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - [r] ...
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Asymptotic analysis of an advection-diffusion equation and application to boundary controllability
... Burgers’ equation despite the pres- ence of a boundary layer, ...the equation y t − εy xx + M y x = 0 with respect to ε, To appear in the SEMA-SIMAI springer series - Preprint available ...
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Controllability and observability of an artificial advection-diffusion problem
... Artificial advection-diffusion problem In the present paper we deal with an advection-diffusion problem with small viscosity truncated in one space ...linear advection diffusion ...
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A correlated stochastic model for the large-scale advection, condensation and diffusion of water vapour
... We have seen in 3.2 that the 2-stream model exactly reproduces the OU global distribution of moisture P Q (q) . In figure 7 , the average sub-saturation is very-well captured by the 2-stream model, except for the ...
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Diffusion limit for a kinetic equation with a thermostatted interface
... kinetic equation with an absorbing boundary has been considered in ...transport equation with some reflection/transmission condition has been obtained in [1] for the steady state, giving rise to different ...
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Flux-Upwind Stabilization of the Discontinuous Petrov--Galerkin Formulation with Lagrangian Multipliers for Advection-Diffusion Problems
... Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex France Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois -[r] ...
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Analytic expressions of the solutions of advection-diffusion problems in 1D with discontinuous coefficients
... For a space F of continous functions from R to R 𝑑 , we write F ◁▷ := {𝑓 − ◁▷ 𝑓 + | 𝑓 − , 𝑓 + ∈ F}. The problem of knotting operators consists in finding suitable conditions at the interface when “gluing” the ...
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A simple monodimensional model coupling an enthalpy transport equation and a neutron diffusion equation
... is the scalar neutron flux (φ(z) ≥ 0 is in m −2 ·s −1 ). In ( 2 ), D(h) is the di ffusion coefficient (D(h) > 0 is in m), Σ a (h) is the absorption (macroscopic) cross section ( Σ a (h) > 0 is in m −1 ) and ν is ...
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Convergence Analysis of Domain Decomposition algorithms with full overlapping for the advection-diffusion problems
... Unité de recherche Inria Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 Villers Lès Nancy Unité de recherche Inria Rennes, Irisa, [r] ...
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MODIFIED EQUATION FOR A CLASS OF EXPLICIT AND IMPLICIT SCHEMES SOLVING ONE-DIMENSIONAL ADVECTION PROBLEM
... arising from the modified equation to the properties of the considered numerical methods. Keywords: Modified equation, finite difference, advection equation. 1. Introduction Numerical solution ...
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DIFFUSION LIMIT FOR A KINETIC EQUATION WITH A THERMOSTATTED INTERFACE
... The diffusive limit has been considered, without the presence of interface, in [ 5 , 11 , 15 ]. It has been shown there that, if ( 1.6 ) is in force, then the solutions of the initial problem ( 1.5 ) converge, as in ( ...
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Fractional diffusion limit for a kinetic equation with an interface
... kinetic equation, with reflection-transmission- absorption at an interface, with a degenerate scattering ...The equation arise from a microscopic chain of oscillators in contact with a heat ...heat ...
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