AAE51200 - Computational AerodynamicsSpring 2014 Days/Time:
MWF / 10:30-11:20 amCredit Hours:
Be able to 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. Be able to 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. Be able to explain consistency, stability, and convergence of numerical methods for PDEs and how they affect the accuracy of numerical solutions. Be able to 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. Be able to state and explain limitations of CFD analysis because of assumptions invoked and uncertainties in models and inputs.Description:
This course provides an introduction to finite-difference (FD) and finite volume (FV) methods in CFD. The course is divided into three parts. Part 1 reviews the building blocks needed to develop, analyze, and implement CFD, including methods for initial and boundary-value problems, methods for linear and nonlinear algebraic equations, classification and properties of partial differential equations (PDEs), and the equations that govern fluid mechanics, heat transfer, and combustion problem and their underlying assumptions. Part 2 presents FD and FV methods in a step-by-step manner, showing how the building blocks are assembled and their limitations. These include mapping of coordinate systems, grid generation, FD and FV operators, and methods of analysis for consistency, stability, convergence, and errors such as conservation, transportive, dissipation, dispersion, aliasing, and lack of monotonicity and positivity. Part 3 shows how FD and FV methods are applied to the Euler and the Navier-Stokes equations for compressible and incompressible flows with focus on boundary conditions, verification and validation issues, and uncertainty quantification.Topics Covered:
Physical and mathematical character of the 1-D Euler Equations; central difference methods; flux splitting and upwind differencing, eigenvalues and eigenvectors; boundary conditions and MOC procedures; implicit and explicit methods; multi-dimensional Euler and Navier-Stokes equations; Coordinate transformations and grid generation. Spring 2014 SyllabusPrerequisites:
Undergraduate courses in thermodynamics, fluid mechanics, and heat transfer. Some background in gas dynamics, numerical methods and a programming languages such as Fortran or C. Familiarity with MATLAB is important because the Professor will use it for classroom demonstrations.Applied/Theory:
50/50Web Address: http://aae.www.ecn.purdue.edu/~aerodyn/AAE512/AAE512.htmlWeb Content:
Link to Course website: https://engineering.purdue.edu/~tomshih/AAE-512-TS/AAE512-Shih-2014.htmHomework:
Homework will be assigned each week or every other week. These will include both computational assignments and analytical assignments. Computer assignments will include stability analyses of scalar and Navier-Stokes equations and 1-D CFD solutions. Students will be given an existing 1-D CFD code.Projects:
No formal projects, although compute assignments will be progressive in nature and will have a project format.Exams:
2 midterms, 1 final exam.Textbooks:
**Updated Jan. 2, 2014** No textbook required. All lecture notes will be made available on the internet before each class. Disclaimer: Please visit the Listing of Textbooks by College or School for the most up-to-date textbook information.
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