AOE 2074 Computational Methods - Revised 2/4/05



AOE 2074 Computational Methods - Revised 2/4/05

Primary Learning Objectives

Upon completion of the course the student will be able to solve mathematical models of physical systems using numerical methods, specifically

1. Estimate error magnitudes, distinguish between round off and truncation errors, and calculate absolute and relative, true and approximate errors in numerical computations.

2. Find roots of equations using bracketing and open methods; explain the differences between the two methods and point out the advantage of each method.

3. Solve linear algebraic equations using Gauss elimination, LU decomposition, and the Gauss-Seidel method; as well as perform pivoting to reduce error; explain the differences between the methods and understand the advantages of the methods.

4. Fit curves to data using linear least squares regression, data linearization, and polynomial regression; explain the advantage and disadvantage of using higher order polynomials.

5. Interpolate polynomials and derive splines for interpolation; explain the benefits of using splines.

6. Integrate functions using the trapezoidal rule, Simpson’s rules, Romberg integration, and Gauss-Quadrature ; explain the differences between the methods and understand the advantages of the methods.

7. Numerically solve boundary and initial value ODEs.

8. Read, write and modify structured professional-standard code to perform the above techniques.

AOE 3014

AERO/HYDRODYNAMICS

COURSE OBJECTIVES

Primary Learning Objectives

Upon completion of AOE 3014 the student will be able to:

1. Use Potential Flow Theory to test a flow for conservation of mass.

2. Use Potential Flow Theory to test a flow for irrotationality.

3. Use Potential Flow Theory to build mathematical models of flows around bodies.

4. Use Bernoulli’s equation to calculate changes in pressure and velocity around shapes.

5. Calculate force and moment coefficients around bodies in a flow.

6. Use Thin Airfoil Theory and Panel Methods to calculate the lift on 2-D shapes.

7. Use Lifting Line Theory to calculate the lift and pitching moment on 3-D wings.

8. Use Vortex Lattice Theory to calculate the lift and pitching moment on 3-D wings.

The degree to which each student is able to satisfy these course objectives will be assessed through homework assignments, tests, special projects, and a final examination.

AOE 3044

Course Learning Objectives Analysis (College of Engineering) Last revised: 8/19/2003

Primary Learning Objectives

The student will be able to:

1. Calculate steady and unsteady heat conduction cases.

2. Explain the fundamentals of radiation heat transfer.

3. Calculate drag of flat plates and surfaces with pressure gradients for laminar flow.

4. Calculate heat transfer on flat plates and surfaces with pressure gradients and variable wall temperature for laminar flow.

5. Determine transition locations on flat plates and surfaces with pressure gradients.

6. Calculate drag of flat plates and surfaces with pressure gradients for turbulent flow.

7. Calculate heat transfer on flat plates and surfaces with pressure gradients for turbulent flow.

AOE 3054 Experimental Methods

Primary Learning Objectives

The student will be able to:

1. Write clear, concise and complete technical reports.

2. Explain the advantages and disadvantages of a range of basic measurement techniques.

3. Apply many of those techniques.

4. Quantitatively evaluate experimental uncertainties.

5. Build and test simple electronic circuits and use standard electronic instrumentation to make measurements.

6. Effectively use a computer-based data acquisition system.

7. Use simple statistical techniques to analyze experimental measurements.

8. Organize the execution of a group experiment.

AOE 3114 Compressible Aerodynamics

Primary Learning Objectives

The student will be able to:

1. Identify common situations in which compressibility becomes important in internal and external aerodynamics and explain, in those situations, the effects of compressibility and the physical processes behind them.

2. Explain the origins of and assumptions involved in the various mathematical equations and techniques of compressible aerodynamics.

3. State the fundamental concepts and terminology associated with the equations, charts, formulae and hardware of compressible aerodynamics.

4. Select and use appropriate compressible flow tables, charts and formulae in the solution of problems.

5. Solve simple problems involving…

a. quasi one-dimensional isentropic flow with area variations

b. normal shock waves

c. unsteady one dimensional flow

d. one dimensional flow with heat addition

e. one dimensional flow with friction

f. two-dimensional isentropic flow and oblique shocks

g. conical flow

h. linearized theory

…with particular emphasis on applications involving

a. nozzles (analysis and design)

b. Pitot probes

c. combustors

d. airfoils

e. 2D engine intakes

AOE 3134 Stability and Control

Primary Learning Objectives

The student will be able to :

1. Estimate aerodynamic properties of atmospheric vehicles for both longitudinal and lateral directional forces and moments from vehicle geometry.

2. Determine static stability about the three axes, pitch, yaw, and roll.

3. Determine control requirements for various flight conditions.

4. Write the equations of motion for the rigid-body vehicle.

5. Linearize equations of motion for longitudinal and lateral-directional motions.

6. Determine the dynamic characteristics of longitudinal and lateral-directional vehicle motions, such as period, time-to-half amplitude, and damping ratio.

7. Determine and explain typical mode shapes associated with the vehicle motion.

Course Objectives for AOE 3204 Naval Architecture

Primary Learning Objectives

After completing this course, the student will be able to:

1. Describe, identify and assess ship geometry.

2. Perform area, volume, moment and center calculations using various methods and software, and given various types of input describing hull geometry.

3. Calculate ship characteristics, develop and apply ship curves of form, by hand, and using commercial software.

4. Assess ship transverse stability and perform heel angle and stability calculations at small and large angles.

5. Perform trim and longitudinal stability calculations.

6. Perform damage flooding and stability calculations.

7. Assess a ship design in terms of loading, stability and damage survivability using USN and IMO criteria.

8. Describe the hydrodynamic environment and perform simple hydrodynamic calculations.

AOE 3264 Resistance and Propulsion of Ships

Primary Learning Objectives

The student will be able to:

1. Explain the physical phenomena being accounted for by the various aspects of the 2-D and 3-D methods of scaling ship model resistance data to full scale.

2. Calculate the effective power of a full-scale ship using the 2-D and 3-D methods of scaling ship model resistance data to full scale and using regression formulas.

3. Analyze the performance of a planing hull and optimize the location of its center of gravity.

4. Evaluate the likelihood of cavitation occurring on hydrofoils and propellers.

5. Analyze propeller performance using momentum theory.

6. Explain the fundamentals of blade element theory.

7. Analyze the performance of a propeller operating in the wake of a ship.

8. Select an optimum propeller for a given application.

9. Explain the geometry, operating characteristics and principles of operation of SWATH, ships, hydrofoil ships, surface-effect ships and air-cushion vehicles.

AOE 4004: Computer-Aided Control System Design

Primary Learning Objectives

At the completion of AOE 4004, the student should be able to:

1. Formulate a mathematical model for a simple mechanical control system using either Newton’s laws or Lagrange’s equations.

2. Linearize the nonlinear equations describing a given control system about an equilibrium to obtain a linear control system in standard form.

3. For a given system and given performance specifications, evaluate the suitability of an open-loop versus a closed-loop control strategy.

4. Design a proportional-integral-derivative feedback controller for a given single-input, single-output (SISO), linear, time-invariant (LTI) plant and implement the controller in a Matlab simulation.

5. Analyze absolute and relative stability of a control system using the Routh-Hurwitz method and Evans’ rules for plotting root loci.

6. Define controllability and observability and assess these properties for a given LTI control system in state space form.

7. Design a linear state feedback control law for a given controllable multi-input, multi-output (MIMO) LTI control system using pole placement and implement the controller in a Matlab simulation.

8. State and solve the linear quadratic regulator (LQR) design problem for a given controllable MIMO LTI control system and implement the controller in a Matlab simulation.

9. Using pole placement or LQR theory, design a full or reduced order observer for a given observable LTI control system and implement the observer in a Matlab simulation.

AOE 4404 Applied Numerical Methods - Revised: 1/04

Primary Learning Objectives

After completing this course, the student will be able to:

1. Describe and apply various methods for Root Finding such as: Bisection, Newton-Raphson, Secant methods, Fixed-Point Iteration. Explain convergence criteria and rate of convergence.

2. Implement methods to solve a system of linear equations. Explain various approaches for solving linear equations: (i) Direct methods and the required Operation Count; (ii) Iterative methods under and over relaxation.

3. Perform numerical interpolation calculations for data with methods such as Lagrange interpolation and Cubic Splines.

4. Apply both numerical integration and differentiation. The student should be able to use: Newton-Cotes and Gauss Integration; Finite Difference Schemes; and explain truncation and round-off errors.

5. Solve a set of nonlinear equations the Newton method and iterative approaches including Gauss-Seidel and Jacobi iteration.

6. Perform calculations and explain the scaled power method for solving Eigenvalue Problems.

7. Outline and describe various numerical methods for solving ordinary differential equations: explicit and implicit methods, Taylor's expansion and Runge-Kutta methods and single and multi-step methods. The student should be able to apply these methods to integrate O.D.E’s.

8. Describe the use of basic numerical methods (finite differences, explicit and implicit methods) for solving partial differential equations for simple problems.

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