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Nov 21, 2024
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AE 537 - Computer Methods in Dynamics of Continua3 Credit Hours
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.
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