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The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or advection. For information about the equation, its derivation, and its conceptual importance and consequences, see the main article convection–diffusion equation. This article describes how to use a computer to calculate an approximate numerical solution of the discretized equation, in a time-dependent situation.

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rdfs:label	Numerical solution of the convection–diffusion equation (en)
rdfs:comment	The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or advection. For information about the equation, its derivation, and its conceptual importance and consequences, see the main article convection–diffusion equation. This article describes how to use a computer to calculate an approximate numerical solution of the discretized equation, in a time-dependent situation. (en)
dcterms:subject	Equations of physics Diffusion Transport phenomena Parabolic partial differential equations Stochastic differential equations
Wikipage page ID	41067402 (xsd:integer)
Wikipage revision ID	1040544881 (xsd:integer)
Link from a Wikipage to another Wikipage	Péclet number Upwind scheme Double diffusive convection Convection–diffusion equation Crank–Nicolson method An Album of Fluid Motion Convection Lagrangian and Eulerian specification of the flow field Equations of physics Galerkin method Heat transfer Advanced Simulation Library Finite difference Finite difference method Diffusion Discretization Fluid simulation Differentiation (mathematics) Diffusion Taylor series Advection Transport phenomena Parabolic partial differential equations Stochastic differential equations Finite element method Finite volume method for unsteady flow Orders of approximation Transient state (chemical engineering) Runge–Kutta Finite difference scheme Finite element Explicit method
sameAs	Numerical solution of the convection–diffusion equation Numerical solution of the convection–diffusion equation Numerical solution of the convection–diffusion equation
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has abstract	The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or advection. For information about the equation, its derivation, and its conceptual importance and consequences, see the main article convection–diffusion equation. This article describes how to use a computer to calculate an approximate numerical solution of the discretized equation, in a time-dependent situation. In order to be concrete, this article focuses on heat flow, an important example where the convection–diffusion equation applies. However, the same mathematical analysis works equally well to other situations like particle flow. A general discontinuous finite element formulation is needed. The unsteady convection–diffusion problem is considered, at first the known temperature T is expanded into a Taylor series with respect to time taking into account its three components. Next, using the convection diffusion equation an equation is obtained from the differentiation of this equation. (en)
prov:wasDerivedFrom	wikipedia-en:Numerical_solution_of_the_convection–diffusion_equation?oldid=1040544881&ns=0
page length (characters) of wiki page	7353 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Numerical_solution_of_the_convection–diffusion_equation
is Link from a Wikipage to another Wikipage of	Convection–diffusion equation Transient convection diffusion equation Numerical solution of the convection-diffusion equation Diffusion equation
is Wikipage redirect of	Transient convection diffusion equation Numerical solution of the convection-diffusion equation
is foaf:primaryTopic of	wikipedia-en:Numerical_solution_of_the_convection–diffusion_equation

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