2003
DOI: 10.1299/kikaib.69.2400
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Thermo-Fluid Management under Low-gravity Conditions (2nd Report, Free-Surface Flows Driven by Surface Forces)

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Cited by 12 publications
(9 citation statements)
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“…The level-set method is combined with the MARS (Multi-interface Advection and Reconstruction Solver) method, 31 a kind of VOF (Volume of Fluid) methods, to improve the mass conservation. 22,32 Surface tension is modeled by the CSF (Continuum Surface Force) method. 33 The surface tension force is…”
Section: A Mathematical Formulations and Numerical Proceduresmentioning
confidence: 99%
“…The level-set method is combined with the MARS (Multi-interface Advection and Reconstruction Solver) method, 31 a kind of VOF (Volume of Fluid) methods, to improve the mass conservation. 22,32 Surface tension is modeled by the CSF (Continuum Surface Force) method. 33 The surface tension force is…”
Section: A Mathematical Formulations and Numerical Proceduresmentioning
confidence: 99%
“…The material derivative term in the governing equations normalDϕnormalDt=ϕt+bold-italicU·ϕ is often discretized using a semi‐Lagrangian scheme in pressure‐based unified solvers based on the CIP‐CUP method, for example, the works of Yabe et al, Himeno and Watanabe, and Jemison et al Unlike them, in the present method, the term is written as normalDϕnormalDt=ϕt+bold-italicU·ϕ=ϕt+·false(bold-italicUϕfalse)ϕ·bold-italicU by dividing the advection term U ·∇ ϕ into the conservation part ∇·( U ϕ ) and into the rest − ϕ ∇· U . Equation is discretized as normalDϕnormalDt=ϕn+1ϕnitalicΔt+1VfΦnormalfnϕnormalfn+1ϕn+1VfΦnormalfn. In Equation , ϕnormalfn+1 is interpolated using conventional difference schemes such as central‐difference schemes, upwind schemes, and TVD schemes.…”
Section: Methodsmentioning
confidence: 99%
“…The CIP‐CUP method solves the pressure equation derived from the nonconservation form of the governing equations to stabilize the calculations of the high density ratio between a gas and a liquid, unlike conventional pressure‐based unified solvers for single‐phase flows, such as that done in the works of Harlow and Amsden and Issa . The CIP‐CUP method was modified by Himeno as the thermo–CIP‐CUP method for thermofluid analyses . The pressure‐based unified solvers based on the CIP‐CUP method such as the thermo–CIP‐CUP method have been applied to various flows, for example, sloshing of liquid fuel in spacecraft and injection of liquid fuel in diesel engines .…”
Section: Introductionmentioning
confidence: 99%
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“…Reconstruction Solver) method (Kunugi, 1997), a kind of VOF (Volume of Fluid) methods, to improve mass conservation (Himeno and Watanabe, 2003).…”
Section: The Level-set Methods Is Combined With the Mars (Multi-interfmentioning
confidence: 99%