Advection diffusion problems
Analytic expressions of the solutions of advection-diffusion problems in 1D with discontinuous coefficients
... Conclusion We have shown how to compute analytic expressions of the resolvent kernel of a one-dimensional second-order differential operator with discontinuous coefficients obtained by knotting two operators with ...
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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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Multiscale finite element methods for advection-diffusion problems
... issues. The first issue is how enriching the approach with bubble functions affects the accuracy. Of course, as all our approaches are variational approaches, enriching the variational approximation space using bubble ...
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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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A positive scheme for diffusion problems on deformed meshes
... - In [30], a finite difference type scheme has been proposed by C. Le Potier. This scheme is convergent of order one, and satisfies the maximum principle. However, in order to manage this, the stencil is enlarged to a ...
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Effective transient behaviour of inclusions in diffusion problems
... Copyright line will be provided by the publisher 1 Introduction The general context of this work is the identification of macroscopic continuum theories to describe diffusive transport in heterogeneous media. This is a ...
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Multifield variational formulations of diffusion initial boundary value problems
... problems Jorge de Anda Salazar · Thomas Heuz´ e ∗ · Laurent Stainier Abstract We present two multifield and one single-field variational principles for the Initial Bound- ary Value Problem of ...multiphysic ...
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A correlated stochastic model for the large-scale advection, condensation and diffusion of water vapour
... However, the AC models neglect microphysical processes such as the incomplete fallout of precipitation (Liu Fueglistaler and Haynes) and mixing with the surface (Hurley et. al 2012), which are important on short ...
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Modelling fish population movements: from an individual-based representation to an advection-diffusion equation
... an advection diffusion ...an advection-diffusion equation is obtained as a truncated Kramers- Moyall cumulant expansion (Risken, 1996) of the spatial density function of ...them. ...
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Homogenization of advection-diffusion and solid diffusion in poroelastic media for modelling transport of soluble factors in biological tissues
... the advection-diffusion of soluble factor such as calcium and phosphate [2] in the context of tumor mineralisation, how this mineralisation of bone tissue may become a barrier to treatment in the context of ...
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Asymptotic analysis of an advection-diffusion equation involving interacting boundary and internal layers
... equations, aims to approximate the solution y ε , far away from the boundary and internal layers. A second inner expansion, defined as the sum of the functions W k , k = 0, . . . , 3, solutions of pure diffusion ...
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Asymptotic stability of a coupled advection-diffusion-reaction system arising in bioreactor processes
... [34] C. V. Pao; Asymptotic stability of reaction-diffusion systems in chemical reactor and com- bustion theory. Journal of Mathematical Analysis and Applications, 82(2):503–526, 1981. [35] C. V. Pao; Nonlinear ...
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Homogenization of singular convection-diffusion equations and indefinite spectral problems
... The problems of this type appear while constructing the asymptotic expansions of solutions to equations describing different phenomena in highly inhomogeneous ...
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Kronecker Product Approximation Preconditioners for Convection-diffusion Model Problems
... 4 Numerical Tests In this section we perform numerical tests (Matlab R2006b; Intel(R) Core(TM)2 CPU 6600@2.40GHz, 3.21GB SDRAM) on the scalar convection-diffusion problem, Stokes problem, Ossen problem, and ...
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Advection passive par des champs de vitesse stochastiques.
... la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou ...
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A Cell-Centered Scheme For Heterogeneous Anisotropic Diffusion Problems On General Meshes
... both the mesh and the permeability tensor Λ. In [5], the authors need a coercivity assumption which links the mesh and the tensor. There are also some schemes which need either conditions on meshes or conditions on the ...
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Formal validation of asynchronous interaction-agents algorithms for reaction-diffusion problems
... The blood vessel is represented by a cylinder discretized into meshes, see figure 2. In each mesh, a numerical model of the blood coagulation cascade can be found ; this model presents almost all of the enzymatic ...
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Discountinuous Galerkin methods and posteriori error analysis for heterogeneous diffusion problems
... estimateurs d'erreur a posteriori pour l'équation d'adve
tion-diusion- réa
tion linéaire et.. stationnaire ave diusion hétérogène.[r] ...
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The combined Lagrangian advection method
... numerical diffusion in ˆ q d . This is especially important for forced flows, as we shall see in §3. Regarding efficiency, in forced flows CLAM is only a few per- cent slower than HyperCASL and significantly more ...
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Second Kind Boundary Integral Equation for Multi-Subdomain Diffusion Problems
... We compare the single-trace second kind Formulation 31 with the so-called direct single-trace first kind approach, described in detail in [9, Section 3], and its Galerkin boundary elemen[r] ...
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