Section


  • Instructions: Clicking on the section name will show / hide the section.

  • View only 'Topic 1'

    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.

  • View only 'Topic 2'

    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

  • View only 'Topic 3'

    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)

  • View only 'Topic 4'

    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
      • LN-F-003. Flat Plate with Angle of Attack (PPT)
      • LN-F-004. Airfoil with Angle of Attack (PPT)
         
      UNIT 4. NUMERICAL METHODS FOR POTENTIAL FLOWS I: DISCREET VORTEX METHOD
      • LN-F-005. Discrete Vortex Method (PPT)
      • LN-F-006. Discrete Vortex Method (PDF)
         
      UNIT 5. NUMERICAL METHODS FOR POTENTIAL FLOWS II: PANEL METHOD
      • LN-F-007. Fundamental Theory of Panel Method (PPT) (PDF)

      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-010. Panel method with doublets of constant intensity. Neumann resolution (PPT)
      • LN-F-011. Neumann formulation review for non-zero thickness airfoils (PDF)

  • View only 'Topic 5'

    Other Resources

    • UNIT 1. INTRODUCTION TO MATLAB
      • OR-F-001. Programs (WM)
      UNIT 2. NUMERICAL AERODYNAMICS' EXAMPLES
      • OR-F-002. Pressure Cylinder (WM)
      • OR-F-003. Stream Lines Cylinder (AVI)
         
      UNIT 3. TRANSFORMATION OF YOUKOVSKI AND KÁRMÁN-TREFFT
      • OR-F-004. Flat (AVI)
      • OR-F-005. Camberline (AVI)
      • OR-F-006. Karman Profiles (AVI)
      • OR-F-007. Youkovski Profile (AVI)

  • View only 'Topic 6'

    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 Method      		  8 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)

      		  

  • View only 'Topic 7'

    Authors of material