Aerodynamics

  1. Computational Fluid Dynamics
    1. CFD Fundamentals
      1. Governing Equations
        1. Euler Equations
          1. Simplified Models
          2. Numerical Methods Overview
            1. CFD Process
              1. Pre-processing
                1. Solving
                  1. Post-processing
                2. Discretization Methods
                  1. Finite Difference Method
                    1. Grid Point Approach
                      1. Accuracy and Stability
                      2. Finite Volume Method
                        1. Control Volume Approach
                          1. Conservation Properties
                          2. Finite Element Method
                            1. Weak Form Formulation
                              1. Element Types
                            2. Grid Generation
                              1. Structured Grids
                                1. Body-Fitted Coordinates
                                  1. Grid Quality Metrics
                                  2. Unstructured Grids
                                    1. Triangular/Tetrahedral Elements
                                      1. Flexibility Advantages
                                      2. Hybrid Grids
                                        1. Grid Adaptation
                                          1. Solution-Based Refinement
                                            1. Error Estimation
                                          2. Turbulence Modeling
                                            1. Reynolds-Averaged Navier-Stokes
                                              1. Turbulence Closure Problem
                                                1. Eddy Viscosity Models
                                                  1. Spalart-Allmaras Model
                                                    1. k-ε Models
                                                      1. k-ω Models
                                                      2. Reynolds Stress Models
                                                      3. Large Eddy Simulation
                                                        1. Subgrid Scale Modeling
                                                          1. Computational Requirements
                                                          2. Direct Numerical Simulation
                                                            1. Complete Resolution
                                                              1. Computational Limitations
                                                            2. Solution Methods
                                                              1. Time Integration
                                                                1. Explicit Methods
                                                                  1. Implicit Methods
                                                                    1. Time Step Limitations
                                                                    2. Spatial Discretization
                                                                      1. Upwind Schemes
                                                                        1. Central Difference Schemes
                                                                          1. High-Resolution Schemes
                                                                          2. Convergence Acceleration
                                                                            1. Multigrid Methods
                                                                              1. Preconditioning
                                                                            2. Validation and Verification
                                                                              1. Code Verification
                                                                                1. Method of Manufactured Solutions
                                                                                  1. Grid Convergence Studies
                                                                                  2. Solution Validation
                                                                                    1. Comparison with Experiments
                                                                                      1. Benchmark Cases
                                                                                      2. Uncertainty Quantification
                                                                                        1. Numerical Uncertainty
                                                                                          1. Model Uncertainty
                                                                                            1. Input Parameter Uncertainty

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                                                                                        15. Experimental Aerodynamics

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                                                                                        1. Introduction to Aerodynamics