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- Catalog Description
- 573 Computational Fluid Dynamics. I; 3 cr. Course provides an in-depth introduction to the
methods and analysis techniques used in computational solutions of fluid mechanics and heat
transfer problems. Model problems are used to study the interaction of physical processes and
numerical techniques. Contemporary methods for boundary layers, incompressible viscous flows,
and inviscid compressible flows are studied. Finite differences and finite volume techniques are
emphasized. P: ME 363, Comp Sci 310 or 412 or cons inst.
- Course Prerequisite(s)
- See catalog description above.
- Prerequisite knowledge and/or skills
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Calculus: integrals, derivatives, partial derivatives, vector calculus
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Mechanics: Force and momentum balances
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Thermodynamics: conservation of mass and energy; properties and equations of state
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Fluid Mechanics: conservation of momentum, control volume analysis, simple differential analysis, dimensional analysis, engineering correlations and relationships commonly used in mechanical engineering for internal and external flows, simple compressible flows
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Computer science: introductory numerical methods including differentiation and integration
- Textbook(s) and/or other required material
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Tannehill, Anderson, and Pletcher, Computational fluid mechanics and heat transfer, 2nd Ed.
(Recommended)
- Course objectives
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To develop an understanding for:
.......the major approaches and methodologies used in CFD
.......the interplay of physics and numerics
.......the methods and results of numerical analysis
To gain experience in:
.......the actual implementation of methods
.......the “little stuff” that is not always clear from theory (e.g. boundary conditions, etc.)
Increase skills in:
.......implementing and using basic CFD methods
.......computer use and programming
.......debugging
- Topics covered
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Introduction
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Background: Fluid Mechanics
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Background: Numerical Methods
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Numerical Methods in Fluid Mechanics
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System of Equations: Elliptic Problems
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Unsteady Problems: Viscous diffusion terms: Heat Equation
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Unsteady Problems: Convection terms: Wave Equation
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Advanced numerical analysis
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Boundary layers
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Incompressible Navier Stokes methods
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Compressible Euler equation methods
- Class/laboratory schedule
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Three 50 minute lectures per week
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No laboratory
- Contribution of course to meeting the professional component
- This course contributes primarily to the students' knowledge of engineering topics, but does not provide design experience.
The following statement indicates which of the following considerations are included in this course: economic, environmental, ethical, political, societal, health and safety, manufacturability, sustainability.
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Environmental and safety issues are often addressed as a context for discussion of recirculation problems, especially as they appear in mixing and combustion systems.
- Relationship of course to undergraduate degree program objectives and outcomes
- This course serves students in a variety of engineering majors. The information below describes how the course contributes to the college's educational objectives.
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This course is intended primarily for graduate students, but it helps to meet the objectives of having students be able to identify, formulate and solve engineering problems. Students work individually and in teams to learn the fundamentals used in modern computer analysis and simulation of fluid dynamical systems. This understanding is applied to series of problems to demonstrate the connection between the controlling physical processes and the appropriate solution procedures.
- Assessment of student progress toward course objectives
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3 homeworks based on programming assignments focused on basic methods
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2 homeworks based on analysis and derivation of numerical methods
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2 moderate length programming projects focused on fluids applications
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1 large programming project
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Students turn in written reports for all assingments.
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Students work in teams of two to three on project assignments.
- Person(s) who prepared this description
