Convection and diffusion
5.4 The Heat Equation and Convection-Diffusion
... u(x, t) = 1 √ 4πt e −x 2 /4t comes from the initial condition u(x, 0) = δ(x) . (1) Notice that u t = cu x + du xx has convection and diffusion at the same time. The wave is smoothed out as it travels. This ...
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Fast Iterative Solver for Convection-Diffusion Systems with Spectral Elements
... Keywords: convection-diffusion; domain decomposition; preconditioning; spectral element method ...flows, convection and diffusion occur on disparate scales, causing sharp flow features that ...
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Convection-Diffusion Equation
... In particular, we propose a systematic technique in the selection of the grid expansion factor based on its logarithmic relationship with low Peclet number. Such linear mathematical connection between the two ...
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identification in a convection-diffusion equation
... (Received 8 August 2003; revised 30 January 2004) Abstract We use a recently developed Sinc-Galerkin method for the solu- tion of non-self-adjoint equations to solve a parameter identification problem arising from the ...
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Modeling Convection Diffusion with Exponential Upwinding
... vection diffusion equations computationally, it is desir- able to implement methods that are amenable to parallel ...a convection diffusion model either in two or three dimensions, at the end, we are ...
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Optimal Convergence Analysis for Convection Dominated Diffusion Problems
... ABSTRACT In classical mixed finite element method, the choice of the finite element approximating spaces is restricted by the im- position of the LBB consistency condition. The method of H 1 -Galerkin mixed finite ...
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Hybrid algorithms for cyclically reduced convection-diffusion problems
... (Received 7 August 2000) Abstract We consider hybrid and adaptive iterative algorithms for cyclically- reduced discrete convection-diffusion problems. Hybrid algorithms combine via a two phase algorithm, ...
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Greenʼs function estimates for a singularly perturbed convection–diffusion problem
... We consider a singularly perturbed convection-diffusion problem posed in the unit square with a horizontal convective direction. Its solutions exhibit parabolic and exponential boundary layers. Sharp ...
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Adaptive Finite Element Method for Steady Convection Diffusion Equation
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract This paper examines the numerical solution of the ...
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Research on generalized space time fractional convection diffusion equation
... fractional convection-diffusion ...fractional convection-diffusion equation and then obtain generalized space-time fractional convection-diffusion ...
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A new a posteriori error estimate for convection-reaction-diffusion problems
... for convection-reaction-diffusion problems ; Helsinki University of Technology, Institute of Mathematics, Research Reports A524 ...stationary convection-reaction-diffusion ...
A finite difference scheme for multidimensional convection-diffusion-reaction equations
... the convection–diffusion–reaction equation may contain sharp layers where gradient of the solution changes abruptly when the problem is convection-dominated or ...
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Difference -Analytical Method Of The One-Dimensional Convection-Diffusion Equation
... approximations. Convection-diffusion problems are base at modelling of problems of hydrodynamics and heat-mass transfer ...the convection-diffusion equation connect unknown quantities in the ...
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Development of a Generalized Finite Difference Scheme for Convection-Diffusion Equation
... 1.5 Research Objectives The objective of this research is to develop a new generalized finite difference method which can be used to solve any PDE in an arbitrarily discretized domain. Although this research is focused ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... solving convection-diffusion equation as it plays an important role in computational fluid dynamics ...for convection diffusion equations on uniform grids for two dimensional space [1–3] and ...
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Numerical Simulation by Galerkin Method of 2D Nonlinear Convection-Diffusion
... Abstract: The objective of this paper is to numerically solve a 2D Transient Nonlinear Convection-Diffusion Equation using the Galerkin Method. For numerical formulation, the Crank-Nicolson Method was used ...
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Competition between transport phenomena in a Reaction-Diffusion-Convection system
... Competition Between Transport Phenomena in a Reaction-Diffusion-Convection System D i and C are constants. The constant D i is the most important of these and defines the diffusion rate. It is ...
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An iterative domain decomposition algorithm for a nonlinear convection-diffusion problem
... (Received 3 August 2006; revised 6 September 2007) Abstract This article describes an iterative domain decomposition algorithm for solving nonlinear singularly perturbed convection-diffusion prob- lems ...
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A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... The analysis is performed for the model problems of linear steady-state and time-dependent convection-diffusion-reaction equations. Applying a nonlinear discretization scheme to a lin- ear problem leads ...
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A unified analysis of Algebraic Flux Correction schemes for convection-diffusion equations
... Altogether, these results show a bottleneck of AFC schemes that can hopefully be reduced or cured by using more advanced methods. 6.2 Illustration of the smearing of layers A motivation for studying ...
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