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Preconditioning convection dominated convection‐diffusion problems
International Journal of Numerical Methods for Heat & Fluid Flow, 1995This paper is concerned with the numerical solution of multi‐dimensional convection dominated convection‐diffusion problems. These problems are characterized by a large parameter, K, multiplying the convection terms. The goal of this work is the development and analysis of effective preconditioners for iteratively solving the large system of linear ...
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An assessment of discretizations for convection-dominated convection–diffusion equations
Computer Methods in Applied Mechanics and Engineering, 2011Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
Augustin, Matthias +6 more
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Double diffusive convection in the diffusive regime
Applied Scientific Research, 1982Numerical solutions to convection of a fluid which is heated, and to which salt is introduced from the bottom, have been obtained. Although different in boundary conditions from the conditions in the study of Huppert and Moore, qualitatively the flow investigated here has many features the same as theirs. The differences are discussed and solutions are
Chang, Shengming +2 more
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An HDG Method for Convection Diffusion Equation
Journal of Scientific Computing, 2015A new hybridizable discontinuous Galerkin (HDG) method for the convection-diffusion problem on general polyhedral meshes is presented. This new HDG method is a generalization of HDG methods for linear elasticity introduced in [\textit{W. Qiu} et al., ``An HDG method for linear elasticity with strong symmetric stresses'', \url{arXiv:1312.1407}] to ...
Weifeng Qiu, Ke Shi 0005
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Diffusion and convection in lungs and gills
Respiration Physiology, 1972Abstract An analysis has been made of the inspired-arterial partial pressure difference of a gas transmitted, under steady-state conditions, across lungs and gills regarded as subdivided into a large number of functional units. It is shown that this overall gradient can be expressed as the simple sum of terms representing airway convection, airway ...
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Convective transport in diffusive samplers
Talanta, 1993Convective transport in diffusive samplers was determined by the loss of a dilute dye solution from these samplers while held in a water bath. The water flow in the bath was adjusted to give the same Reynolds number had the diffusive sampler been exposed to an airborne analyte at a predetermined flow velocity. By numerical analysis, estimates were made
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Diffusion and convection in a branching tube
Computers and Biomedical Research, 1983Transport by diffusion and convection is described in a branching tube using a stochastic formulation in a multiple pattern network. The concentration curves are compared with the solutions of the classical one-dimensional transport equation for each branch, coupled with a constraint condition at the branch point.
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ℋ-matrices for Convection-diffusion Problems with Constant Convection
Computing, 2003Hierarchical matrices provide a technique for the sparse approximation and matrix arithmetic of large, fully populated matrices. This technique has been proven to be applicable to matrices arising in the boundary and finite element method for uniformly elliptic operators with L∞-coefficients. This paper analyses the application of hierarchical matrices
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Soution of Convection-Diffusion Equations
2013Partial differential equations are an important part of mathematics in science and its numerical solution occupies an important position in the numerical analysis. Partial differential equations are closely related to human life and it has important research value.
Yamian Peng +2 more
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The diffusive interface in double-diffusive convection
Journal of Fluid Mechanics, 1978A model of the diffusive interface in double-diffusive convection at high Rayleigh number is proposed. The interface is assumed to have a double structure: two marginally stable boundary layers from which blobs or thermals arise on the outer edges of the interface, separated by a diffusive core across which all transport takes place by molecular ...
P. F. Linden, T. G. L. Shirtcliffe
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