publication . Article . 2015

Compressible bubble dynamic simulations with central-upwind schemes

Koukouvinis, P.; Gavaises, M.; Georgoulas, A.; Marengo, M.;
Open Access
  • Published: 03 Dec 2015 Journal: Journal of Physics: Conference Series, volume 656, page 12,087 (issn: 1742-6588, eissn: 1742-6596, Copyright policy)
  • Publisher: IOP Publishing
  • Country: United Kingdom
Abstract
This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is ...
Subjects
arXiv: Physics::Fluid Dynamics
free text keywords: General Physics and Astronomy, Applied mathematics, Euler equations, symbols.namesake, symbols, Riemann problem, Exact solutions in general relativity, Classical mechanics, Jacobian matrix and determinant, Upwind scheme, Compressibility, Engineering, business.industry, business, Bubble, Solver, TJ
Related Organizations
Funded by
EC| FUELSYSTEM3000
Project
FUELSYSTEM3000
Simulation of cavitation and erosion in fuel injection systems of medium/heavy duty Diesel engines at injection pressures reaching 3000bar
  • Funder: European Commission (EC)
  • Project Code: 324313
  • Funding stream: FP7 | SP3 | PEOPLE

[1] Franc J-P and Michel J-M 2005 Fundamentals of Cavitation. (Kluwer Academic Publishers).

[2] Brennen C 1995 Cavitation and Bubble Dynamics. (Oxford University Press).

[3] Obreschkow D, et al. 2013 The Quest for the Most Spherical Bubble. Exp Fluids, 54: p. 18. [OpenAIRE]

[4] Plesset M S and Chapman R B 1970 Collapse of an initially spherical vapor cavity in the neighborhood of a solid boundary, California Institute of Technology. p. 42. [OpenAIRE]

[5] Lauer E, et al. 2012 Numerical modelling and investigation of symmetric and asymmetric cavitation bubble dynamics. Computers & Fluids, 69: p. 1-19.

[6] Hawker N A and Ventikos Y 2012 Interaction of a strong shockwave with a gas bubble in a liquid medium: a numerical study. J Fluid Mech, 701: p. 55-97. [OpenAIRE]

[7] Adams N A and Schmidt S J 2013 Shocks in cavitating flows, in Bubble dynamics & Shock waves, C.F. Delale, Editor. (Berlin Heidelberg, Springer-Verlag). p. 235-256.

[8] Pohl F, et al. 2014 Evaluation of cavitation-induced pressure loads applied to material surfaces by finite-element-assisted pit analysis and numerical investigation of the elasto-plastic deformation of metalic materials (article in press). Wear.

[9] Toro E 2009 Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction. (Springer-Verlag Berlin Heidelberg).

[10] Egerer C, et al. 2014 Large-eddy simulation of turbulent cavitating flow in a micro channel. Phys Fluids, 26: p. 30. [OpenAIRE]

[11] Kurganov A, Noelle S, and Petrova G 2001 Semidiscrete central-upwind schemes for hyperbolic conservations laws and Hamilton-Jacobi equations. SIAM Journal on Scientific Computing 23: p. 707-740. [OpenAIRE]

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