ECTS credits ECTS credits: 6
ECTS Hours Rules/Memories Student's work ECTS: 102 Hours of tutorials: 6 Expository Class: 18 Interactive Classroom: 24 Total: 150
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: External department linked to the degrees
Areas: Área externa M.U en Matemática Industrial
Center Faculty of Mathematics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
It is necessary that the Student familiarizes with the different Software Packages for the Simulation and Numerical Solving of Acoustic Problems, trying to keep a parallelism between this Course and the Acoustic Modelling.
In the memoire, the Master's Degree in Matemáticas Industriales it considers the following general contents for professional software subjects:
- Modeling capabilities of professional numerical simulation software in fluid mechanics and applications, mechanics of solids and structures, electromagnetism and optics
- Modeling control and numerical resolution in professional numerical simulation software
-Validation of numerical models implemented in professional numerical simulation software
These contents will be developed for the specific part of the Professional Software subject in acoustics according to the following agenda:
1- Equations, Analytical Solutions and Numerical Methods for the Acoustic Equations in one dimension.
1.1 Review of the Wave Equations in one Dimension.
1.2 Multilayer Acoustic Transmission.
1.3 Numerical Methods. Dispersion and Pollution Error.
1.4 Simulation in Matlab and use of the Programme PAMM.
2- Acoustic Equations in Two and Three Dimension.
2.1 Resolution Methods for the Fluid in rigid cavity. Numerical Calculus of the Resonance Frequencies.
2.2 Resolution Methods for the transient acoustics equation.
2.3 Use of the Programm COMSOL.
3- Application of the Acoustic Boundary Element Method.
3.1 Basic Theory. Helmholtz Integral Equation.
3.2 BEM in Problems 2D and 3D.
3.3 Formulation for Symmetric Axis Problems.
3.4 The Numerical Implementation of the BEM.
3.5 Description of the Package OPENBEM of MATLAB.
3.6 Problems 2D: Diffraction on Noise Barriers.
3.7 Symmetric Axis Problems: Diffraction on a Sphere and Radiation of a Pulsating Sphere.
3.8 Problems of 3D: Radiation of a Piston on a Sphere. Radiation of Cabinet Loudspeakers.
D.T. Blackstock. Fundamentals of Physical Acoustics. John Wiley & Sons. New York, 2000.
G.C. Cohen. Higher-order numerical methods for transient wave equations. Springer-Verlag.
Berlin, 2002
COMSOL Acoustics module. User’s Guide and Model Library.
F. Ihlenburg. Finite Element Analysis of Acoustic Scattering. Springer-Verlag. Berlin, 1998.
The Boundaty Element Method for Sound Field Calculations. PhD Peter Moller Juhl. Disponible en
http://www.openbem.dk/
GENERAL:
CG1 - Possess knowledge that provides a basis or opportunity to be original in the development and/or application of ideas, often in a research context, knowing how to translate industrial needs in terms of R+D+i projects in the field of Industrial Mathematics
CG4 - Knowing how to communicate the conclusions, together with the knowledge and ultimate reasons that sustain them, to specialized and non-specialized publics in a clear and unambiguous way
TRANSVERSALS
There are no data
SPECIFIC
CE4 - Be able to select a set of numerical techniques, languages and computer tools, suitable to solve a mathematical model
CE5 - Be able to validate and interpret the results obtained, comparing with visualizations, experimental measures and / or functional requirements of the corresponding physical / engineering system
CS1 - Know, know how to select and know how to handle the professional software tools (both commercial and free) most suitable for the simulation of processes in the industrial and business sector.
CS2 - Know how to adapt, modify and implement numerical simulation software tools.
Although the Subject Approach is basically practical, it will be presented at the beginning of each Theme a Short Theoretical Summary in Blackboard, to put in Context the Models and Numerical Method, before the Explanation of the Commercial Packages, which will make through the Video Cannon.
According to the Practical Character of the Subject, the Students will devote of Individual Way the most part of the Time, under the Supervision of the Teacher, to familiarize with the Computer Packages presented so to solve with them the Exercises and Problems that will refer along the Course.
With the methodology outlined above, the part of the competencies CG1, CG4, CE4, CE5, CS1, and CS2 that are contemplated in this subject is worked on.
The Student will be assessed from the Exercises and Problems studied along the Course and a Final Practical Exam.
The tests / activities described above fully evaluate the part of the competences CG1, CG4, CE4, CE5, CS1, and CS2 worked on this subject.
During the 6 ECTS sutdent will have presence hours. In addition it is necessary that the Student devotes Time, which will depend on the previous knowledge, to the Review of the Theoretical Models and familiarize with the Computer Tools.
The Subject is on the Solving of Acoustic Problems through Computer, and then it is recommended to the Student that devotes Time to practice and familiarize with the Computer Tools that will present along the Course.
To have studied the Subject “Acoustic” in the Basic Modelization Module.