Modified CIP-CSL/FV method for incompressible flows. (English) Zbl 1290.76084
Summary: This paper presents a modified staggered-like CIP-CSL/FV (constrained interpolation profile-conservative semi-Lagrangian/finite volume) method for incompressible flows. In the present method, which is originated in VSIAM3 (volume/surface integrated average based multi-moment method), the surface-integrated values are employed as the major variables to increase the connectivity between the volume-integrated and surface-integrated values and between the collocated volume-integrated values. Resultingly, it changes the solution procedure by modifying the trajectory averaging process of all moments having been introduced in the original researches. To verify the staggered-like CIP-CSL/FV method, two phase benchmarking problems are tested with the THINC/WLIC (tangent of hyperbola for interface capturing/weighted line interface calculation) scheme capturing interfaces sharply and volume-conservatively.
MSC:
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 76T99 | Multiphase and multicomponent flows |
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