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Course Criteria
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3.00 Credits
Graduate fluid mechanics course on classical and modern approaches to hydrodynamics. Topics cover three areas, (1) surface waves, (2) flow instability, and (3) vortex dynamics. Wave topics include linear dispersive and nondispersive waves, weakly nonlinear waves, and viscous effects, with special attention to surface tension phenomena. Flow instabilities include gravitational, capillary, thermal, centrifugal, and viscous instabilities. Topics in vortex dynamics include vortex laws and flow invariants, generation and decay of vorticity, and vortex-boundary interaction. When Offered: Fall term odd-numbered years. Credit Hours: 3
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3.00 Credits
Properties of gases at high temperatures; thermodynamics and chemical kinetics. Macroscopic description of high-speed flows of chemically reacting and ionized gases. Shock tube theory and applications. Reentry aerophysics. The interaction of high-speed plasma flows with electromagnetic fields. Prerequisites/Corequisites: Prerequisite: permission of instructor. When Offered: Offered on availability of faculty. Credit Hours: 3
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3.00 Credits
Introduction to the equations of inviscid compressible flow; expansion procedure for airfoils in transonic flow and the Karman-Guderley equation; transonic-shock jump relations; the hodograph equations for transonic flow, with elementary applications; lift and drag integrals; transonic far fields; axially symmetric flow. Prerequisites/Corequisites: Prerequisite: MANE 6550 or equivalent. When Offered: Spring term alternate years. Credit Hours: 3
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3.00 Credits
An introduction to the mathematics of conduction heat transfer. Applications of results illustrated by examples from furnace design, cooling of electric components, building design, heat exchanger design. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
An introduction to radiation heat transfer in diathermanous media and participating media. Selected applications from spacecraft design, furnace design, meteorology, temperature measurement, environmental control. When Offered: Annually. Credit Hours: 3
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3.00 Credits
Fundamental study of convection heat transfer in laminar and turbulent internal and external flows. Unsteady flows, combined heat and mass transfer, conjugated unsteady heat transfer, and buoyancy induced convection. Selected applications from aeronautics and heat exchanger design. Prerequisites/Corequisites: Prerequisite: MANE 4800 or equivalent. When Offered: Spring term annually. Credit Hours: 3
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3.00 Credits
Graduate-level course on the fundamental concepts and technologies underlying finite element methods for the numerical solution of continuum problems. The course emphasizes the construction of integral weak forms for elliptic partial differential equations and the construction of the elemental level matrices using multi-dimensional shape functions, element level mappings, and numerical integration. The basic convergence properties of the finite element method will be given. This course serves as preparation for students working on finite element methods. Prerequisites/Corequisites: Prerequisite: MATH 2400 or equivalent. When Offered: Fall term annually. Cross Listed: Cross-listed as CIVL 6660. Students cannot obtain credit for both this course and CIVL 6660. Credit Hours: 3
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3.00 Credits
The formulations and solution strategies for finite element analysis of nonlinear problems are developed. Topics include the sources of nonlinear behavior (geometric, constitutive, boundary condition), derivation of the governing discrete equations for nonlinear systems such as large displacement, nonlinear elasticity, rate independent and dependent plasticity and other nonlinear constitutive laws, solution strategies for nonlinear problems (e.g., incrementation, iteration), and computational procedures for large systems of nonlinear algebraic equations. Prerequisites/Corequisites: Prerequisites: CIVL 6660 or MANE 6660. When Offered: Fall term odd-numbered years. Cross Listed: Cross- listed as CIVL 6670. Students cannot obtain credit for both this course and CIVL 6670. Credit Hours: 3
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3.00 Credits
Examines the implementation of finite element methods. Consideration is first given to the techniques used in classic finite element programs. Attention then focuses on development of a general geometry-based code which effectively supports higher order adaptive technique. Technical areas covered include: effective construction of element matrices for p-version finite elements, ordering of unknowns, automatic mesh generation, adaptive mesh improvement, program and database structures. Implementation of automated adaptive techniques on parallel computers is also covered. Prerequisites/Corequisites: Prerequisite: CIVL 6660, MANE 6660, CSCI 6860 or MATH 6860. When Offered: Spring term odd-numbered years. Cross Listed: Cross-listed as CIVL 6680. Students cannot obtain credit for both this course and CIVL 6680. Credit Hours: 3
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3.00 Credits
This course focuses on generalized weighted residual methods and multi-field variational principles for constructing approximate solutions to sets of governing differential equations and associated boundary conditions. Topics include hybrid and mixed methods, boundary element formulations, p-version finite elements, global/local procedures, and penalty methods. Problem areas include solid mechanics (nearly incompressible solids, plates, and shells), fluid mechanics including compressible flows, and heat transfer. Prerequisites/Corequisites: Prerequisite: CIVL 6660 or MANE 6660. When Offered: Spring term even-numbered years. Cross Listed: Cross-listed as CIVL 6690. Students cannot obtain credit for both this course and CIVL 6690. Credit Hours: 3
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