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ME 647: System Optimization I
3.00 Credits
University of Kentucky
Introduction to linear and nonlinear optimization and their use in engineering design. Emphasis on numerical approaches and use of optimization methods for engineering systems (e.g. biological, mechanical, structural). Prereq: CS 221; one mathematics course beyond MA 214 or equivalent. (Same as BAE 647.)
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ME 651: Mechanics of Elastic Solids I
3.00 Credits
University of Kentucky
Many engineering applications involve the use of materials that behave elastically when performing their designed function. This course concerns the general analysis of small deformations, stress, and stress-deformation relations for elastic bodies. The solution of typical problems frequently encountered in engineering applications, e.g., extension, bending, and torsion of elastic bars, stress concentrations and thermoelastic behavior, are studied. Some modern computational methods currently used in engineering practice are introduced. Prereq: MA 432G or consent of instructor.
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ME 651 - Mechanics of Elastic Solids I
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ME 652: Mechanics of Elastic Solids II
3.00 Credits
University of Kentucky
Continuation of EM 651 with more attention to the fundamental structure of and important historical and contemporary contributions to elastic theory. Extensive use of modern computational methods that were introduced in the first course will provide familiarity with the solution of larger scale, industrially important elasticity problems. Application of the boundary integral equation method (BIE) will be emphasized. Some use also will be made of the finite element method, primarily for comparison with BIE. Instruction will include "hands-on" experience with digital-computer program packages. Prereq: EM 651 or consent of instructor.
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ME 652 - Mechanics of Elastic Solids II
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ME 653: Methods of Applied Differential Equations
3.00 Credits
University of Kentucky
Integrals of nonlinear partial differential equations; similarity variables and other transformations; perturbation methods; weighted residual methods; numerical methods; selected topics. Prereq: MA 432G or consent of instructor.
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ME 653 - Methods of Applied Differential Equations
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ME 690: Advanced Algorithms For Computational Fluid Dynamics
4.00 Credits
University of Kentucky
Theory and implementation of main algorithms widely used for solving multi-dimensional partial differential equations arising in engineering applications such as fluid dynamics, heat and mass transfer, semiconductor simulation, etc. Numerical solution of steady and time-dependent linear partial differential equations on rectangular domains via finite difference techniques. Linearization methods for treatment of nonlinear problems. Numerical grid generation for transforming irregular domains into rectangular computational grids. Prereq: MA 537, or consent of instructor, and competence with a high-level programming language.
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ME 690 - Advanced Algorithms For Computational Fluid Dynamics
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ME 691: Cfd I- Incompressible Flows
3.00 Credits
University of Kentucky
This course will cover a control-volume CFD approach for the conservation of momentum, heat and mass transfer. The emphasis will be on the discretization of the transport equations in general coordinates and its application in both structured and unstructured grid arrangements. Modern numerical schemes and pressure solution algorithms will also be covered. An introduction of turbulence modeling will be provided. At the end of the lecture, the students not only are able to understand the basics of commercial software but also will be able to write a general coordinate code for fluid flow, heat and mass transfer applications. Prereq: ME 531.
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ME 691 - Cfd I- Incompressible Flows
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ME 692: Cfd II- Compressible Flows
3.00 Credits
University of Kentucky
This second course shall focus on the solution of the compressible Navier-Stokes equations. The Van-Leer's and Roe's approaches will be discussed to derive the discretization equations. Modern shock capturing schemes, such as FCT, TVD and ENO will be introduced. The solution techniques such as ADI, DDADI and line-relaxation will be used to solve the system of equations. Multi-grid acceleration techniques will be introduced to speed up the rate of convergence. Finally, the parallelization of CFD codes using shared and distributed computers will be discussed. Prereq: ME 531 and ME 691.
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ME 692 - Cfd II- Compressible Flows
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ME 699: Topics in Mechanical Engineering
3.00 Credits
University of Kentucky
A detailed investigation of a topic of current significance in mechanical engineering. May be repeated to a maximum of nine credits under different subtitles. A particular topic may be offered at most twice under the ME 699 number. Prereq: Variable; given when topic is identified.
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ME 699 - Topics in Mechanical Engineering
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ME 748: Master's Thesis Research
0.00 Credits
University of Kentucky
Half-time to full-time work on thesis. May be repeated to a maximum of six semesters. Prereq: All course work toward the degree must be completed.
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ME 748 - Master's Thesis Research
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ME 749: Dissertation Research
0.00 Credits
University of Kentucky
Half-time to full-time work on dissertation. May be repeated to a maximum of six semesters. Prereq: Registration for two full-time semesters of 769 residence credit following the successful completion of the qualifying exams.
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ME 749 - Dissertation Research
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