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May 22, 2026
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ES 651 - Advanced Topics in Computational Fluid Dynamics3 Credit Hours Modern approximation theory for Euler and Navier-Stokes conservation systems, compressible flow, hyperbolic forms, boundary conditions. Weak forms, extremization, finite element/finite volume/flux vector discrete implementations, a priori error estimates, accuracy, convergence, stability. Numerical linear algebra, approximate factorization, sparse matrix methods. Dissipation, Fourier spectral analysis, smooth and non-smooth solutions. Cross-listed: (Same as Aerospace Engineering 661; Mechanical Engineering 651.)
(DE) Prerequisite(s): 552. Registration Restriction(s): Minimum student level – graduate.
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