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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
Convection Diffusion Equation in Transient Regime with Physical Properties Variable with Temperature using Least Squares Finite Element Method-LSFEM.
Submission Author:
Sabrina dos Santos Ferreira , SP
Co-Authors:
Sabrina dos Santos Ferreira
Presenter: Sabrina dos Santos Ferreira
doi://10.26678/ABCM.ENCIT2020.CIT20-0153
Abstract
The objective of this work was to solve the convection diffusion equation in transient regime with physical properties varying with temperature via the Least Squares Finite Element Method. For that, a code in C language was developed, two-dimensional elements with eight nodes were used for spatial discretization, the Cranck-Nicolson method for time discretization, the Gauss-Legendre quadrature method for calculating integrals and the conjugate gradients to solve the linear system due to the positive symmetric matrix being obtained. The results showed that as each time step, the thermal diffusivity, is a very small constant value and the dominant phenomenon is convection. The most important contribution of this work was to use the second derivative of diffusion without the artifice of lowering its order and also to use the physical properties that vary with temperature in the diffusion convection equation
Keywords
Transient regime, Least Squares Finite Element Method, Language C., Convection Diffusion Equation
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