A parallel and matrix free framework for global stability analysis of compressible flows
This work addresses the computational bottleneck of global stability analysis for large-scale compressible flow problems in fluid dynamics.
The paper presents a parallel, matrix-free framework for global stability analysis of compressible flows, enabling large-scale computations. It demonstrates convergence acceleration through spectral Cayley transformation, improved linear solver, and parallel block-Jacobi preconditioning.
An numerical iterative framework for global modal stability analysis of compressible flows using a parallel environment is presented. The framework uses a matrix-free implementation to allow computations of large scale problems. Various methods are tested with regard to convergence acceleration of the framework. The methods consist of a spectral Cayley transformation used to select desired Eigenvalues from a large spectrum, an improved linear solver and a parallel block-Jacobi preconditioning scheme.