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Journal Articles SIAM Journal on Scientific Computing Year : 2008

## Efficient methods for computing spectral projectors for linearized hydrodynamic equations

Grace Hechme
• Function : Author
Yuri Nechepurenko
• Function : Author
• Function : Author

#### Abstract

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.

### Dates and versions

hal-00976777 , version 1 (10-04-2014)

### Identifiers

• HAL Id : hal-00976777 , version 1
• DOI :

### Cite

Grace Hechme, Yuri Nechepurenko, Miloud Sadkane. Efficient methods for computing spectral projectors for linearized hydrodynamic equations. SIAM Journal on Scientific Computing, 2008, 31 (1), pp.667-686. ⟨10.1137/050648122⟩. ⟨hal-00976777⟩

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