Date of Award


Degree Type


Degree Name

Master of Engineering Science


Mechanical and Materials Engineering


Dr. Purna Kaloni

Second Advisor

Dr. Maciej Floryan


A spectral method for solving the flow of a second-order fluid is developed for the case of a planar channel with corrugated boundaries. The proposed algorithm employs a fixed computational domain. The boundaries of the flow domain are located inside the computational domain. The flow boundary conditions are imposed using the concept of immersed boundary conditions. The algorithm relies on Fourier expansions in the flow direction and Chebyshev expansions in the transverse direction. Various tests confirm spectral accuracy ofthe algorithm.



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