Numerical Aerodynamics
Section
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Course description
RECOMMENDED PREREQUISITES AND PRIOR KNOWLEDGE
Subjects completed in the first cycle are valid. Requires knowledge of computers (preferably Matlab) and aerodynamics.
COURSE OVERVIEW
This course provides a solid theoretical base for various numerical methods used to solve problems in aerodynamics. Results obtained using the methods developed in the course are compared with those from commercially available programs, assessing the advantages and disadvantages of each.
Practical classes will be conducted in a fully equipped classroom, so that each student has a computer. During the course, students will actively program in MATLAB. The first few classes of the course are dedicated to providing a basic knowledge of MATLAB.OUTLINE
The course addresses the following topics:
1. Introduction to Matlab as a tool for programming.
2. Simple analytic results from Aerodynamics.
3. Joukovski and Karma-Trefft transformations, for subsequent comparison with the numerical methods.
4. Methods for solving potential flows I: Discrete Vortex Method.
5. Methods for solving potential flows II: Panel Methods.
6. Methods for solving the Euler equations.
7. Numerical solution of problems using commercial codes (CFX) and comparison with potential flow methods.
ASSIGNMENTS AND PRACTICAL TASKS
Passing the course requires regular attendance and completion of a series of projects that will be assigned.
Syllabus
1. Introduction to MATLAB
2. Numerical Aerodynamics' Examples
3. Transformation of Youkovski and Kármán-Trefft
4. Numerical Methods for Potential Flows i: Discreet Vortex Method
4.1. Cases' Analysis
4.2. Discreet Vortex Method
5. Numerical Methods for Potential Flows ii: Panel Method
5.1. Dirichlet Solution
5.2. Neumann Solution.
6. First Stokes Problem
7. Numerical Methods Including Boundary Layer Analysis (2d): xfoil
8. Computational Aerodynamics in the Aerospace Industry
8.1. CFX
References
- R-B-001. I. Da Riva, M. A. González, A. Laverón, J. Messeguer, J. M. Perales, A. Sanz, Apuntes de Aerodinámica I, E.T.S.I. Aeronáuticos
- R-B-002. J. Katz & A. Plotkin, Low-Speed Aerodynamics, Cambridge Aerospace Series
- R-B-003. J. Moran, An Introduction to Theoretical & Computacional Aerodynamics, John Wiley&Sons, Inc. USA (1984)
Lecture notes
UNIT 1. INTRODUCTION TO MATLAB - LN-F-001. Introduction to Matlab (PPT).
UNIT 2. NUMERICAL AERODYNAMICS' EXAMPLES - LN-F-002. Two-dimensional Inviscid Incompressible
Flow (PPT)
UNIT 3. TRANSFORMATION OF YOUKOVSKI AND KÁRMÁN-TREFFT UNIT 4. NUMERICAL METHODS FOR POTENTIAL FLOWS I: DISCREET VORTEX METHOD UNIT 5. NUMERICAL METHODS FOR POTENTIAL FLOWS II: PANEL METHOD Dirichlet Solution
- LN-F-008. Dirichlet formulation with constant potential (PPT)
- LN-F-009. Panel Method for Constant Potential (2D) (PDF)
Neumann Solution
- LN-F-001. Introduction to Matlab (PPT).
Other Resources
UNIT 1. INTRODUCTION TO MATLAB - OR-F-001. Programs (WM)
UNIT 2. NUMERICAL AERODYNAMICS' EXAMPLES UNIT 3. TRANSFORMATION OF YOUKOVSKI AND KÁRMÁN-TREFFT
Learning Guide
Tematic Units Learning Time Basic Lectures Other Resources Introduction to MATLAB 4 hours LN-F-001. Introduction to Matlab (PPT)
OR-F-001. Programs (RAR)
Numerical Aerodynamics' Examples 3 hours LN-F-002. Two-dimensional Inviscid Incompressible Flow (PPT) OR-F-002. Preasure Cylinder (MPEG)
OR-F-003. Stream Lines Cylinder (AVI)
Transformation of Youkovski and Kármán-Trefft 3 hours LN-F-003. Flat Plate with Angle of Attack (PPT)
LN-F-004. Airfoil with Angle of Attack (PPT)
OR-F-004. Flat (AVI)
OR-F-005. Camberline (AVI)
OR-F-006. Karman Profiles (AVI)
OR-F-007. Youkovski Profile (AVI)
Numerical Methods for Potential Flows i: Discreet Vortex Method
- Cases' Analysis
- Discreet Vortex Method8 hours LN-F-005. Discrete Vortex Method (PPT)
LN-F-006. Discrete Vortex Method (PDF)
Numerical Methods for Potential Flows ii: Panel Method
- Dirichlet Solution
- Neumann Solution.8 hours LN-F-007. Fundamental Theory of Panel Method (PPT) (PDF)
Dirichlet Solution and Neumann Solution
LN-F-008. Dirichlet formulation with constant potential (PPT)
LN-F-009. Panel Method for Constant Potential (2D) (PDF)
Authors of material
Mª Victoria Lapuerta González
Professor
Departamento de Fundamentos Matemáticos de la Ingeniería Aeronáutica
Ana Laverón Simavilla
Professor
Departamento de Vehículos Aeroespaciales