AE 537 - Comp Methds/Dynamics/Continua

Institution:

The University of Tennessee - Knoxville

Subject:

Aerospace Engineering

Description:

Classification of hyperbolic, parabolic, and elliptic partial differential equations (PDEs), types of PDE nonlinearity, method of characteristics, systems of conservation laws, shocks and rarefaction waves; Riemann solutions for linear hyperbolic PDEs; Dynamic solutions for Finite Difference (FD), Finite Volume (FV), and Finite Element Method (FEM); Modal analysis; Time marching schemes: explicit vs. implicit, single- vs. multi-stage, multi-step and sub-cycling, high order schemes; Stability, convergence, and consistency; Physical and numerical dispersion; von Neumann dispersion and dissipation analysis; Adaptivity in space (and time).Cross listed: (Same as: Mechanical Engineering 537.)(DE) Prerequisite(s): Undergraduate level numerical methods and differential equations, or consent of instructor.Recommended Background: Numerical analysis and differential equations.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.tennessee.edu

Phone Number:

(865) 974-1000

Regional Accreditation:

Southern Association of Colleges and Schools

Calendar System:

Semester

The Course Profile information is provided and updated by third parties including the respective institutions. While the institutions are able to update their information at any time, the information is not independently validated, and no party associated with this website can accept responsibility for its accuracy.