CATALOG DATA:
Generalized coordinate transformation, grid generation, and computational methods for inviscid flow, viscous incompressible flow, and viscous compressible flow.TEXTBOOK:
Fletcher, C.A.J., Computational Techniques for Fluid Dynamics -Volume II.GOALS:
To provide the student with the formation necessary to be able to understand, analyze, use and create numerical schemes that take advantage of the special forms of the different approximations of the complete equations of fluid dynamics, and to solve such equations in the presence of simple as well as complicated boundary geometries.Prerequisites:
AME 521 - Numerical Methods.Topics:
- Introduction: Complementary roles of computations and experiments, computational requirements and costs, approximations of equations of fluid dynamics, their classifications and boundary conditions, conservation forms, linearization.
- Generalized Coordinate Transformation: Transformation of different approximations of fluid dynamics equations from arbitrary domains to simple domains.
- Grid Generation: The generation of non-uniform and adaptive grids using algebraic, elliptic and hyperbolic methods in simple and multiply connected domains.
- Inviscid Flow: Numerical schemes for potential flow, steady transonic small disturbance flow, lifting airfoils, and full potential flow.
- Euler Equations: Explicit an implicit numerical schemes for solution of Euler equations in one- and multi-dimensional domains.
- Compressible Navier-Stokes Equations: Implicit and explicit methods discussed include those of Beam and Warming, approximate factorization, ADI, linear multi-step methods, one-leg methods, and MacCormack schemes.
- Incompressible Navier -Stokes Equations: Implicit and explicit schemes discussed include the artificial compressibility method, vorticity stream function, and primitive variables methods.
ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 3 credits or 100%
Engineering Design: 0 creditsPrepared by: Professor Samuel Paolucci
Last Update: June 28, 1993
Direct comments, questions, and corrections to amedept@nd.edu