Axisymmetric liquid sloshing under low-g conditions: numerical simulations method (-reference manual-)

Axisymmetric liquid sloshing under low-g conditions: numerical simulations method (-reference manual-)

Veldman, A.E.P.
Vogels, M.E.S.

National Aerospace Laboratory NLR

1986-05-29

A mathematical model is presented for the description of axisymmetric three-dimensional transient flow of a viscous liquid in a partially filled cylindrical container under low gravity conditions. The mathematical model consists of the Navier-Stokes equations with either no-slip condition at the solid boundaries, and with the continuity of stresses condition at the free liquid boundary. The numerical method by which these equations are descretized and solved, is a Eulerian finite difference method. It is a member of the Marker-and-Cell family in combination with the volume-of-fluid method for tracking in liquid region. The numerical method is implemented in a computer program SAVOF. This report, the reference manual of SAVOF, gives a detailed description of the numerical method. In a few examples, some possibillities of SAVOF are demonstrated with respect to the motion of the container and the large displacements of the liquid.

Imcompressible fluids
Liquid surface
Dynamic response
Capillary flow
Computer programs
Axisymmetric flow
Liquid sloshing
Interfacial/tension
Liquid filled shelfs
Mathematical models
Angles (geometry)
Navier-Stokes-equation
Weightlessness
Viscous flow
Rotating cylinders
Computational grids
Resonant frequences

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Nationaal Lucht- en Ruimtevaartlaboratorium

Campus only

NLR-TR 86057 U

Aerospace Engineering Reports

report

(c)1986 National Aerospace Laboratory NLR