Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations

Details Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations

2007-05-10

arxiv.org/abs/0705.1542v2

Physics

Computational Physics

13 pages, 1 figure, revised for submission to SIAM Sci. Comp., moved background information to appendices

Scientific paper

We describe a general framework for avoiding spurious eigenvalues -- unphysical unstable eigenvalues that often occur in hydrodynamic stability problems. In two example problems, we show that when system stability is analyzed numerically using {\em descriptor} notation, spurious eigenvalues are eliminated. Descriptor notation is a generalized eigenvalue formulation for differential-algebraic equations that explicitly retains algebraic constraints. We propose that spurious eigenvalues are likely to occur when algebraic constraints are used to analytically reduce the number of independent variables in a differential-algebraic system of equations before the system is approximated numerically. In contrast, the simple and easily generalizable descriptor framework simultaneously solves the differential equations and algebraic constraints and is well-suited to stability analysis in these systems.

Affiliated with

Also associated with

No associations

Rating

Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Descriptor approach for eliminating spurious eigenvalues in hydrodynamic equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-601174