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TECHNICAL PAPERS

Analysis of Thin Film Flows Using a Flux Vector Splitting

[+] Author and Article Information
J. Rafael Pacheco

Departamento de Ingenieriá Mecánica, Instituto Tecnológico de Monterrey, Monterrey, NJ 64849, México e-mail: rpacheco@asu.edu

Arturo Pacheco-Vega

Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, IN 46556

J. Fluids Eng 125(2), 365-374 (Mar 27, 2003) (10 pages) doi:10.1115/1.1538626 History: Received December 15, 1999; Revised October 11, 2002; Online March 27, 2003
Copyright © 2003 by ASME
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References

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Walters, R. W., Thomas, J. L., and Van Leer, B., 1986, “An Implicit Flux-Split Algorithm for the Compressible Euler and Navier-Stokes Equations,” Lecture Notes in Physics, F. G. Zhuang and Y. L. Zhu, eds., Springer, Berlin, 264 , pp. 628–635.
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Hunt, J. C. R., Pacheco, J. R., Mahalov, A., and Fernando, H. J. S., 2003, “Effects of Rotation and Sloping Terrain on Fronts of Density Currents,” J. Fluid Mech., (submitted).
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Figures

Grahic Jump Location
Water depth of the dam-break problem in a rectangular channel at time t=0.10 second and 440 grid points. (a) Exact solution; –⋄– first-order scheme. (b) Exact solution; –○– second-order scheme. (c) Exact solution; –▿– scheme based on flux extrapolation E⁁ with limiter. (d) Exact solution; –▵– scheme based on variable extrapolation Q⁁ (MUSCL) with limiter.
Grahic Jump Location
Maximum relative error of h as a function of mesh refinement for the dam-break problem on a rectangular channel at time t=0.10 s at the points of discontinuity
Grahic Jump Location
Schematic of the experiment layout of Sadler and Higgins 18
Grahic Jump Location
Comparison of numerical solutions and experiments for Qw=0.0098 m3/s (0.345 cfs); -▿- (121×121) grid points; -○- (241×121) grid points; ⋄ Sadler and Higgins 18
Grahic Jump Location
Schematic of the experiment layout of Ahmad 21
Grahic Jump Location
Comparison of water surface profile of a hydraulic jump for Qw=0.0170 m3/s (0.60 cfs) between experiments and numerical solutions for different number of grid points: –▵– (121×121) grid mesh; –○– (241×121) grid mesh; ⋄ observed by Ahmad 21
Grahic Jump Location
Evolution of the eigenvalues and appearance of the hydraulic jump; –○– λ3; –▹– γ3; – height h. FVS with slope limiter solution; (241×121) grid points.

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