Courses

• Introduction
• What is CFD?
• Why Computers?
• Why Simulation?
• Why CFD?
• CFD Ingredients
• The CFD Code
• Brief History and Success Stories
• Present Status
• Projected Growth
• Basic Equations of Fluid Mechanics
• Models
• Conservation of Mass
• Conservation of Momentum
• Conservation of Energy
• Constitutive Relations/Equations of State
• Nondimensional Numbers/Similarity
• Limit of Validity of the Navier-Stokes Equations
• Simplifications and Special Cases
• RANS
• Incompressible Flows
• Euler
• Potential Flow
• Acoustic Limit
• PDE Aspects
• Elliptic/Parabolic/Hyperbolic PDE’s
• Model Equations and Exact Solutions
• Requirements on Solvers
• Approximation Theory
• Approximation Functions
• Local Approximation Functions
• Approximation of Operators
• Potential Flow Solvers
• Solution of Large Coupled Systems of Equations
• Direct Solvers
• Iterative Solvers
• Multigrid
• Euler Solvers (1)
• Galerkin
• Lax-Wendroff
• Numerical Viscosities
• Boundary Conditions
• Project Work and Exams
• 2-D Potential Solver on Structured Grid
• 2-D Euler Solver on Unstructured Grid
• Mid-Term Exam
• Final Exam
• Textbooks
• C. Hirsch – Numerical Computation of Internal and External Flow; J. Wiley & Sons
• Anderson, Tannehill and Pletcher – Computational Fluid Mechanics and Heat Transfer

• Euler Solvers (2)
• Riemann Solvers
• Limiting and TVD/LED
• FCT
• Navier-Stokes Solvers
• Moving Grids
• The ALE Frame
• Geometric Conservation Law
• Mesh Movement Techniques
• Grid Generation
• Advancing Front
• Delauney Triangulation
• Multiblock
• Grid Adaptation
• Error Estimation/Indication
• Mesh Movement
• Mesh Enrichment
• Remeshing
• Local Mesh Modification
• Efficient Use of Computer Hardware
• PC’s
• Workstations
• Vector Machines
• Parallel Machines
• Process and Shape Optimization
• Optimization Techniques
• Adjoint Solvers for Potential/Euler/Navier-Stokes
• Advanced Topics in CFD
• Overlapping Grids
• Embedded Surfaces/Immersed Bodies
• Project Work and Exams
• 1-D Riemann Solver with Limitors
• 2-D Unstructured Grid Generator; or
• 2-D H-Refinement Module
• Final Exam
• Textbooks
• C. Hirsch – Numerical Computation of Internal and External Flow; J. Wiley & Sons
• Anderson, Tannehill and Pletcher – Computational Fluid Mechanics and Heat Transfer

This seminar consists in reading selected material (papers / books) on different advanced topics in CFD. Each participant is required to give one presentation during the semester.

Past seminars have covered the following topics:

• Euler Solvers
• Parallel Processing
• Radiation Transport
• Discrete Montecarlo Simulations
• Biological Flows
• Computational Hemodynamics
• Finite Points Methods
• Design Optimization
• Incompressible Flow Solvers

For more information in upcoming seminar topics, please contact Dr. Lohner rlohner@gmu.edu