Knowledge of the main numerical methods for the solution of the differential transport equations
Knowledge of the basic aspects of the finite element method and its application to the solution of transport equations
Knowledge of the basic aaspects for the theory and implementation of numerical differentiation, integration and solution of lineal systems
Knowledge of the basic aspects for the development of robust and efficient numerical codes
Capacity building for the analysis and solution of problems encountered in research and/or innovation towards creation of new knowledge or development of products and processes.
Course Content (Syllabus)
Differential equations in chemical engineering, Concepts of numerical solution of equations, Concepts in finite differences, Collocation methods, Weighted residual methods and Galerkin approach, Application of finte elements in transport equations, Programming steps for the solution of 1D problems, Dynamic problems in 1D, Programming steps in 2D, Standard elements and numerical integration, solution of linear systems
Additional bibliography for study
C. Pozrikidis, "Introduction to Finite and Spectral Element Methods using MATLAB", Chapman & Hall/CRC 2005
T.R. Chandrupatla and A.D. Belegundu, "Introduction to Finite Elements in Engineering", Prentice Hall 1991. (Ελληνική μετάφραση από τις εκδόσεις Κλειδάριθμος)
O. C. Zienkiewicz, R. L. Taylor, “The Finite Element Method”, 4th ed., London; New York: McGraw-Hill,1994, 3 volumes.
J. N. Reddy, “An Introduction to the Finite Element Method”, second edition, New York: McGraw-Hill,1993