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EFFICIENT METHODS FOR COMPUTING SPECTRAL PROJECTORS FOR LINEARIZED HYDRODYNAMIC EQUATIONS
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DOI：10.1137/050648122.png)
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Abstract
En 中文
This paper presents efficient methods for computing the spectral projectors for hydrodynamic equations, linearized at a steady state and approximated with respect to space. The focus is on the spectral projectors corresponding to a given part of the finite spectrum. In the case when the size of the problem is not too large, a QR-based method is proposed and compared with the QZ method. In the large scale case, two variants of the Jacobi-Davidson method, with a deflation procedure, are developed. In both cases, the computed spectral projectors can be used to construct low-order models suited for the context of hydrodynamic stability. Numerical results are reported.
Keywords:
eigenvalue
deflating subspace
spectral projector
Jacobi-Davidson
model reduction
hydrodynamic equations
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