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Course Criteria
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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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3.00 Credits
Solutions to the free vibration and transient dynamic responses of two-and three-dimensional structures by the finite element method are considered. The governing finite element matrix equations are derived and numerical aspects of solving these time-dependent equations considered. Topics include the formulation of the eigenvalue problem, algorithms for eigenvalue extraction, time integration methods including stability and accuracy analysis, and finite elements in time. Modal analysis and direct time integration techniques are compared for a variety of two-and three-dimensional problems. Prerequisites/Corequisites: Prerequisite: CIVL 6660 or MANE 6660. When Offered: Fall term odd-numbered years. Cross Listed: Cross-listed as CIVL 6700. Students cannot obtain credit for both this course and CIVL 6700. Credit Hours: 3
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3.00 Credits
This graduate course provides interactive, hands-on learning of experimental techniques, finite element modeling, and fundamentals of fluid mechanics and heat transfer. Topics include analogy between heat, mass, and momentum transfer. Dimensional analysis. Steady state and transient techniques for property measurements. Errors. Heat transfer coefficients in forced and free convection. Shear stress and friction coefficients on the flat plate. Enclosures. Prerequisites/Corequisites: Prerequisites: MANE 6630 and MANE 6650, or equivalent. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
Course focuses on computational approaches to solve the Navier-Stokes equations. Course assumes knowledge of numerical methods and therefore directly attacks the obstacles to applying these methods to the Navier-Stokes equations. Issues concerning implementation of finite difference methods (FDM), finite volume methods (FVM) and finite element methods (FEM) will be discussed. These issues include: the discrete formulation, nonlinear equation iterator (steady)/marcher (time-accurate), linear equation formation, boundary condition prescription and linear equation solution. Prerequisites/Corequisites: Prerequisite: MANE 6660 or equivalent. When Offered: Spring term even-numbered years. Credit Hours: 3
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