Computational Modelling

Recommended Prerequisites

Previous knowledge of basic numerical methods, acoustic phenomena and heat transfer phenomena.

Teaching Methods

In teaching the course, it is expected the presentation of basic theoretical concepts and advanced knowledge on the topics defined in the syllabus. Relevance is given to the application of the theoretical concepts to practical cases and solution of exercises in the classroom with the teacher, so as to allow an efficient acquisition of the proposed knowledge.

Learning Outcomes

This course intends to give students relevant knowledge regarding the application of numerical methods to acoustic and heat and mass transfer phenomena. It is also intended to allow the student to become familiar with computational modeling techniques and with the use of advanced computational tools, applied to the study of the phenomena mentioned before both in permanent and transient regime. The skills that the students should acquire are related with the solution of problems and with the construction of computational analysis models.

Work Placement(s)

No

Syllabus

1. Physical phenomena in problems of acoustics and heat transfer

1.1 Governing equations for steady state and transient problems

1.2 Frequency and time domain modeling

1.3 Definition of a model for analysis

1.4 Definition of boundary conditions

2. General concepts on numerical methods for computational analysis

2.1 Finite Difference Method

2.2 Finite Element Method

2.3 Boundary element method

3. Application of computational tools

3.1 Local and global models

3.2 Discretization of the domain and of the boundary

3.3 Adequacy of the mesh to the problem to be solved

3.4 Preprocessing and postprocessing models and results

4. Analysis of practical problems.     

Head Lecturer(s)

Luís Manuel Cortesão Godinho

Assessment Methods

Assessment
Resolution Problems: 100.0%

Bibliography

C.A.Brebbia, J. Dominguez, "Boundary Elements: an introductory course", WIT Press, 1996

K.J. Bathe, "Finite Element Procedures", Prentice Hall, 1976

N. Ozisik, "Finite Difference Methods in Heat Transfer", CRC Press, 1994

S. Marburg, B. Nolte, "Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods", Springer, 2008