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Dec 07, 2025
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AAE 51200 - Computational Aerodynamics
Credit Hours: 3.00. Finite difference methods for solving fluid flow problems. Review of classification of partial differential equations, well-posed problems, and discrete approximation of partial differential equations. Matrix and von Neumann stability analysis. Consistency and convergence. Grid generation: elliptic, hyperbolic, and transfinite mesh generation methods. Methods for solving the unsteady Euler equations: finite-volume formulations, flux-split and flux-difference formulations, shock-capturing, formulation of boundary conditions, artificial viscosity models, and multi-grid acceleration.
Learning Outcomes
1. Select and construct solution algorithms for ODEs and PDEs encountered in aerospace and mechanical engineering based on understanding of flow physics and capability of numerical methods.
2. Select and construct solution algorithms for flows that may be modeled as viscous or inviscid, compressible or incompressible and choose appropriate initial and boundary conditions.
3. Explain consistency, stability, and convergence of numerical methods for PDEs and how they affect the accuracy of numerical solutions.
4. State and explain factors that affect accuracy of computed solutions generated by research and commercial CFD codes and how errors could be assessed and minimized.
5. State and explain limitations of CFD analysis because of assumptions invoked and uncertainties in models and inputs.
Credits: 3.00
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