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Research Papers

Discrete Lagrange Equations for Thermofluid Systems

[+] Author and Article Information
Eric P. Fahrenthold1

Department of Mechanical Engineering,  University of Texas, 1 University Station C2200, Austin, TX 78712epfahren@mail.utexas.edu

Charles R. Hean

Department of Mechanical Engineering,  University of Texas, 1 University Station C2200, Austin, TX 78712

1

Corresponding author.

J. Dyn. Sys., Meas., Control 130(1), 011009 (Dec 27, 2007) (7 pages) doi:10.1115/1.2807084 History: Received July 01, 2006; Revised March 01, 2007; Published December 27, 2007

A primary focus of the system dynamics literature is the development of structured modeling methods, suitable for application to a diverse array of engineering problems. An important obstacle in the development of unified modeling methods is the need to employ Eulerian reference frames in many thermofluid systems applications. An extension of Lagrange’s equations, to compressible thermofluid dynamics in Eulerian frames, offers a general modeling methodology for thermofluid systems compatible with discrete energy methods widely used for mechanical systems simulations.

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References

Figures

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Figure 1

Wall shock problem, density distribution

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Figure 2

Wall shock problem, pressure distribution

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Figure 3

Wall shock problem, temperature distribution

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Figure 4

Wall shock problem, velocity distribution

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Figure 5

Shock tube problem, density distribution

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Figure 6

Shock tube problem, pressure distribution

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Figure 7

Shock tube problem, temperature distribution

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Figure 8

Shock tube problem, velocity distribution

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Figure 9

Wave reflection problem, midpoint total pressure versus time

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Figure 10

Wave reflection problem, midpoint velocity versus time

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