Numerical study for improvement calculation and memory storage in solution problems of 3D heat transfer and pollutants dispersion

• Grant number: 14/06679-8
• Support Opportunities: Regular Research Grants
• Start date: September 01, 2014
• End date: November 30, 2016
• Field of knowledge: Engineering - Mechanical Engineering - Transport Phenomena
• Principal Investigator: Estaner Claro Romão
• Grantee: Estaner Claro Romão
• Host Institution: Escola de Engenharia de Lorena (EEL). Universidade de São Paulo (USP). Lorena , SP, Brazil
• Associated researchers: Jairo Aparecido Martins ; Marco Donisete de Campos ; Paula Cristiane Pinto Mesquita Pardal ; Roberta Veloso Garcia

Abstract

This work aims to initially perform a numerical study of some variants of the Finite Element Method. The first part is to implement the least squares (without auxiliary equations ) and Galerkin / Least Squares in problem solving convection -diffusion - reaction three-dimensional steady state problems in thermal and pollutant dispersion, in order to compare the results with the results of the Galerkin method and the method of least squares ( with auxiliary equations ) presented in Romao ( 2009a). Then the analysis of three-dimensional diffusion in irregular multiply related fields in order to relate them to problems of heat exchangers will be held. This work is an extension of that presented in Romao et al . (2008a), in which an analysis was performed on two-dimensional domain. After this, the formulation of the problems of convection-diffusion - reaction will be extended to three-dimensional transient , analyzing the performance of four variants of the Finite Element Method for different time discretization schemes. Then will be developed applying the mass transport equation for the study of pollutant dispersion in three-dimensional domains with known velocity field. (AU)

Scientific publications

(10)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ROMAO, ESTANER CLARO. Efficient Alternative for Construction of the Linear System Stemming from Numerical Solution of Heat Transfer Problems via FEM. MATHEMATICAL PROBLEMS IN ENGINEERING, 2016. (14/06679-8)

MARTINS, JAIRO APARECIDO; ROMAO, ESTANER CLARO. Analyzing 2D segment by Multiphysics in heat transfer and solid mechanics, pondering variables by Design of Experiment (DOE). ENGINEERING SCIENCE AND TECHNOLOGY-AN INTERNATIONAL JOURNAL-JESTECH, v. 19, n. 4, p. 1929-1935, DEC 2016. (14/06679-8)

ROMAO, ESTANER CLARO. Efficient Alternative for Construction of the Linear System Stemming from Numerical Solution of Heat Transfer Problems via FEM. MATHEMATICAL PROBLEMS IN ENGINEERING, v. 2016, p. 7-pg., 2016-01-01. (14/06679-8)

FURLAN, JACQUELINE; MARTINS, JAIRO APARECIDO; ROMAO, ESTANER CLARO. Dispersion of toxic gases (CO and CO2) by 2D numerical simulation. AIN SHAMS ENGINEERING JOURNAL, v. 10, n. 1, p. 151-159, MAR 2019. (16/05146-1, 14/06679-8)

ROMAO, ESTANER CLARO. 3D Unsteady Diffusion and Reaction-Diffusion with Singularities by GFEM with 27-Node Hexahedrons. MATHEMATICAL PROBLEMS IN ENGINEERING, 2014. (14/06679-8)

FURLAN, JACQUELINE; SIQUEIRA, ADRIANO FRANCISCO; ROMAO, ESTANER CLARO. Simplified Model for Concentration Analysis of Catalytic Conversion of Carbon Gas into Hydrogen. SUSTAINABILITY, v. 15, n. 2, p. 11-pg., 2023-01-01. (14/06679-8)

SOARES DE OLIVEIRA E SILVA, BARBARA FERNANDA; MARTINS, JAIRO APARECIDO; ROMAO, ESTANER CLARO. Dispersion of Pollutants in a River According to Its Geometry and Tributaries: A Case Study for River Paraiba do Sul-State of Sao Paulo, Brazil. Environmental Engineering Science, v. 37, n. 2, NOV 2019. (14/06679-8)

PAULINO DE ASSIS, LETICIA HELENA; ROMAO, ESTANER CLARO. Numerical Simulation of 1D Unsteady Heat Conduction-Convection in Spherical and Cylindrical Coordinates by Fourth-Order FDM. ENGINEERING TECHNOLOGY & APPLIED SCIENCE RESEARCH, v. 8, n. 1, p. 2389-2392, FEB 2018. (14/06679-8, 16/16867-1)

MARTINS, JAIRO APARECIDO; LEITE, DANIEL; ROMAO, ESTANER CLARO. Studying Resonant Frequencies of a Helical Spring with and Without Axial Loads. JOURNAL OF FAILURE ANALYSIS AND PREVENTION, v. 20, n. 4, p. 1301-1307, AUG 2020. (14/06679-8)

ROMAO, ESTANER CLARO. 3D Unsteady Diffusion and Reaction-Diffusion with Singularities by GFEM with 27-Node Hexahedrons. MATHEMATICAL PROBLEMS IN ENGINEERING, v. 2014, p. 12-pg., 2014-01-01. (14/06679-8)