Skip to main content
Journal cover image

The equations of 1-D compressible flow with area change in a Lagrangian particle description

Publication ,  Journal Article
Katz, IM; Shaughnessy, EJ
Published in: Computers and Fluids
January 1, 1990

The equations for one-dimensional compressible flow with area change are derived in the Lagrangian particle description for the first time. A simple finite difference code based on the α method is used to obtain the solution for three problems; the passage of a rarefaction wave through an area reduction and an area enlargement, and the passage of a shock wave through an area enlargement. Results are presented in the form of Lagrangian particle trajectories as well as spatial distributions of pressure, velocity and density. © 1990.

Duke Scholars

Published In

Computers and Fluids

DOI

ISSN

0045-7930

Publication Date

January 1, 1990

Volume

18

Issue

2

Start / End Page

183 / 190

Related Subject Headings

  • Applied Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0102 Applied Mathematics
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Katz, I. M., & Shaughnessy, E. J. (1990). The equations of 1-D compressible flow with area change in a Lagrangian particle description. Computers and Fluids, 18(2), 183–190. https://doi.org/10.1016/0045-7930(90)90018-S
Katz, I. M., and E. J. Shaughnessy. “The equations of 1-D compressible flow with area change in a Lagrangian particle description.” Computers and Fluids 18, no. 2 (January 1, 1990): 183–90. https://doi.org/10.1016/0045-7930(90)90018-S.
Katz IM, Shaughnessy EJ. The equations of 1-D compressible flow with area change in a Lagrangian particle description. Computers and Fluids. 1990 Jan 1;18(2):183–90.
Katz, I. M., and E. J. Shaughnessy. “The equations of 1-D compressible flow with area change in a Lagrangian particle description.” Computers and Fluids, vol. 18, no. 2, Jan. 1990, pp. 183–90. Scopus, doi:10.1016/0045-7930(90)90018-S.
Katz IM, Shaughnessy EJ. The equations of 1-D compressible flow with area change in a Lagrangian particle description. Computers and Fluids. 1990 Jan 1;18(2):183–190.
Journal cover image

Published In

Computers and Fluids

DOI

ISSN

0045-7930

Publication Date

January 1, 1990

Volume

18

Issue

2

Start / End Page

183 / 190

Related Subject Headings

  • Applied Mathematics
  • 4012 Fluid mechanics and thermal engineering
  • 0915 Interdisciplinary Engineering
  • 0913 Mechanical Engineering
  • 0102 Applied Mathematics