A DAE approach to similarity solutions of unsteady fluid flows: An application case study

Author

Marszalek, W.

Author_Institution

Coll. of Eng. & Inf. Sci., DeVry Univ., North Brunswick, NJ, USA

fYear

2014

fDate

4-6 June 2014

Firstpage

5145

Lastpage

5149

Abstract

This note presents a discussion on the singularity crossing phenomenon (also known as sonic transition) of the unsteady fluid flows in gravitational fields with singularities. The systems of differential-algebraic equations that result from the similarity treatment in the unsteady fluid flow applications exhibit the singularity induced bifurcation phenomenon typical for the steady-state quasilinear or semi-explicit differential-algebraic equations in circuits, MHD, gas dynamics and other areas.

Keywords

algebra; bifurcation; differential equations; gravity; magnetohydrodynamics; DAE approach; MHD; circuits; gas dynamics; gravitational fields; semiexplicit differential-algebraic equations; similarity solutions; similarity treatment; singularity crossing phenomenon; singularity induced bifurcation phenomenon; sonic transition; steady-state quasilinear equation; unsteady fluid flow applications; Aerodynamics; Bifurcation; Eigenvalues and eigenfunctions; Mathematical model; Three-dimensional displays; Trajectory; Differential-Algebraic Equations; Gravitational Fields; Similarity Solutions; Singularity (Sonic) Transitions; Unsteady Flows;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2014

Conference_Location

Portland, OR

ISSN

0743-1619

Print_ISBN

978-1-4799-3272-6

Type

conf

DOI

10.1109/ACC.2014.6858785

Filename

6858785