Spectrally-accurate algorithm for moving boundary problems for the Navier-Stokes equations
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 2287-2313 |
Journal / Publication | Journal of Computational Physics |
Volume | 229 |
Issue number | 6 |
Publication status | Published - 20 Mar 2010 |
Externally published | Yes |
Link(s)
Abstract
A spectral algorithm based on the immersed boundary conditions (IBC) concept is developed for simulations of viscous flows with moving boundaries. The algorithm uses a fixed computational domain with flow domain immersed inside the computational domain. Boundary conditions along the edges of the time-dependent flow domain enter the algorithm in the form of internal constraints. Spectral spatial discretization uses Fourier expansions in the stream-wise direction and Chebyshev expansions in the normal-to-the-wall direction. Up to fourth-order implicit temporal discretization methods have been implemented. It has been demonstrated that the algorithm delivers the theoretically predicted accuracy in both time and space. Performances of various linear solvers employed in the solution process have been evaluated and a new class of solver that takes advantage of the structure of the coefficient matrix has been proposed. The new solver results in a significant acceleration of computations as well as in a substantial reduction in memory requirements. © 2009 Elsevier Inc. All rights reserved.
Research Area(s)
- Immersed boundary conditions, Moving boundary problems, Spectral methods
Bibliographic Note
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Citation Format(s)
Spectrally-accurate algorithm for moving boundary problems for the Navier-Stokes equations. / Husain, S. Z.; Floryan, J. M.
In: Journal of Computational Physics, Vol. 229, No. 6, 20.03.2010, p. 2287-2313.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review