2009
DOI: 10.1016/j.ces.2009.01.029
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Direct numerical simulation of complex multi-fluid flows using a combined front tracking and immersed boundary method

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Cited by 59 publications
(28 citation statements)
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“…These are the Lagrangian or Eulerian approaches for tracking the position of interface based on one or two sets of conservation equations for the phase change. Although two sets of conservation equations with the Lagrangian tracking approaches such as Maker and cell (MAC) methods and the front tracking method (Deen et al, 2009) are quite accurate, nowadays one set conservation equations with the Eulerian approach is more generally used because numerical problems arise when a re-meshing process in Lagrangian tracking approaches is required to model high distortions of interfaces or interface break up. A famous set of conservation equations with Eulerian approach is the VOF (volume of fluid) method, which was pioneered by Hirt and Nichols (Hirt & Nichols, 1981).…”
Section: Wwwintechopencommentioning
confidence: 99%
“…These are the Lagrangian or Eulerian approaches for tracking the position of interface based on one or two sets of conservation equations for the phase change. Although two sets of conservation equations with the Lagrangian tracking approaches such as Maker and cell (MAC) methods and the front tracking method (Deen et al, 2009) are quite accurate, nowadays one set conservation equations with the Eulerian approach is more generally used because numerical problems arise when a re-meshing process in Lagrangian tracking approaches is required to model high distortions of interfaces or interface break up. A famous set of conservation equations with Eulerian approach is the VOF (volume of fluid) method, which was pioneered by Hirt and Nichols (Hirt & Nichols, 1981).…”
Section: Wwwintechopencommentioning
confidence: 99%
“…I n t he f ront-tracking method [47,46], a stationary Eulerian grid is used for the fluid flow and the interface is tracked explicitly by a separate Lagrangian grid. This method is extremely accurate but also rather complex to implement due to the fact that dynamic re-meshing of the Lagrangian interface mesh is required [10]. Contrary to LS and VOF method, automatic merging of interfaces does not occur, and difficulties arise when multiple interfaces interact with each other as in coalescence and break-up.…”
Section: Introductionmentioning
confidence: 99%
“…= u n+1 on the boundaries, it is projected onto the space of divergence-free vector fields. This is accomplished by solving the Poisson equation for q defined by (10) and (11) along with homogeneous Neumann boundary conditions ∂q/∂n = 0, where n is the exterior normal to the domain.…”
Section: Discretization In Timementioning
confidence: 99%
“…Combined methods also has achieved space in the scientific literature [10]. Following this philosophy, the method presented here combines the Volume of Fluid (VOF) method, to represent the fluid-fluid interface, and the Immersed Boundary method (IB), to represent the solid-fluid interface.…”
Section: Introductionmentioning
confidence: 99%
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