Research Center for Engineering of
                Systems with Complex Fluids
Title: Domain-Decomposition Method For Time-Harmonic Aeroacoustic Problems
Published In: AIAA Journal, Vol. 39, No. 5, pp. 802-809
Description: A domain-decomposition (DD) method is developed for parallel computation of time-harmonic aerodynamic– aeroacoustic problems. The computational domain is decomposed into subdomains, and the aerodynamic– aeroacoustic boundary-value problem is solved independently for each subdomain. Impedance-type transmission conditions are imposed on the artificially introduced subdomain boundaries to ensure the uniqueness of the solution. A Dirichlet-to-Neumann map is used as a nonreflecting radiation condition along the outer computational boundary. Subdomain problems are then solved using the finite element method, and an iterative scheme updates the transmission conditions to recover the global solution. The present algorithm is implemented for two model problems. First, the sound radiated from a surface simulating a two-dimensional monopole is calculated using an unstructured mesh. Second, the flow about a thin airfoil in a transverse gust is computed using a structured mesh. The accuracy of the numerical scheme is validated by comparison with existing solutions for both the near-field unsteady pressure and the far-field radiated sound. The convergence and the computational time and memory requirements of the present method are studied. It is shown that by combining the subdomain direct solvers with global iterations this DD method significantly reduces both the computational time and memory requirements.
Publication year: 2001
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Authors: SUSAN-RESIGA Romeo , ATASSI Hafiz ,
Type: International Journal Article
Laboratory: Numerical Simulation and Parallel Computing Laboratory