A ghost fluid, level set methodology for simulating multiphase electrohydrodynamic flows with application to liquid fuel injection

In this paper, we present the development of a sharp numerical scheme for multiphase electrohydrodynamic (EHD) flows for a high electric Reynolds number regime. The electric potential Poisson equation contains EHD interface boundary conditions, which are implemented using the ghost fluid method (GFM...

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Bibliographic Details
Published in:Journal of computational physics 2010-10, Vol.229 (20), p.7977-7996
Main Authors: Van Poppel, B.P., Desjardins, O., Daily, J.W.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computational techniques
Computer simulation
Conservative level set
DNS
Electrohydrodynamics
Exact sciences and technology
Exact solutions
Fluid flow
Fluids
Ghost fluid method
Ghosts
Mathematical methods in physics
Mathematical models
Multiphase flow
Navier-Stokes equations
Physics
Poisson equation
Primary atomization
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Summary:In this paper, we present the development of a sharp numerical scheme for multiphase electrohydrodynamic (EHD) flows for a high electric Reynolds number regime. The electric potential Poisson equation contains EHD interface boundary conditions, which are implemented using the ghost fluid method (GFM). The GFM is also used to solve the pressure Poisson equation. The methods detailed here are integrated with state-of-the-art interface transport techniques and coupled to a robust, high order fully conservative finite difference Navier–Stokes solver. Test cases with exact or approximate analytic solutions are used to assess the robustness and accuracy of the EHD numerical scheme. The method is then applied to simulate a charged liquid kerosene jet.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2010.07.003