Massively parallel linear stability analysis with P_ARPACK for 3D fluid flow modeled with MPSalsa

Abstract

Abstract. We are interested in the stability of three-dimensional fluid flows to small disturbances. One computational approach is to solve a sequence of large sparse generalized eigenvalue problems for the leading modes that arise from discretizating the differential equations modeling the flow. The modes of interest are the eigenvalues of largest real part and their associated eigenvectors. We discuss our work to develop an efficient and reliable eigensolver for use by the massively parallel simulation code MPSalsa. MPSalsa allows simulation of complex 3D fluid flow, heat transfer, and mass transfer with detailed bulk fluid and surface chemical reaction kinetics.

Computational bifurcation and stability studies of the 8: 1 thermal cavity problem

“…Details relating to the methods and parallel implementation of the linear stability analysis algorithms can be found in [24,12,13,25]. The analysis begins at a given steady state solution point.…”

Understanding the 8: 1 cavity problem via scalable stability analysis algorithms

“…Details relating to the methods and parallel implementation of the linear stability analysis algorithms can be found in [11][12][13]. The analysis begins at a given steady state solution point.…”

Scalable bifurcation analysis algorithms for large parallel applications

“…The algorithms and parallel implementation of linear stability analysis algorithms have been detailed in published articles [10,11,12]. A linearization of the problem about a steady state leads to a generalized eigenvalue problem.…”