Scholarly record
ON CABARET SCHEME FOR INCOMPRESSIBLE FLUID FLOW PROBLEMS WITH FREE SURFACE
Abstract
The problem of a vortex pair motion under a free surface is considered. It is known (Barker S.J. & Crow S.?., 1977) that the vortices fly apart with respect to each other in the horizontal direction. The domain of computation will be on the half-plane with the symmetry condition on one of the vertical boundaries. Previously was received (Gushchin V.A. & Konshin V.N, 1992), that for the correct mathematical modeling of an unsteady thick layer of homogeneous incompressible liquid flow through an obstacle, it is necessary to solve a complete system of Navier-Stokes equations. The authors suggested a second-order CABARET scheme in a Lagrangian grid with nodes fixed in the horizontal direction. A transition is made to new curvilinear coordinates, such that the nodes are uniformly distributed in the vertical direction. According to the methodology ([15] Goloviznin V.M. et al., 2013) of the CABARET scheme for the new system of equations in the divergent form, a conservative difference scheme is proposed. Also, along with conservative variables, we derive the characteristic form of the equations for local Riemann invariants. Splitting by physical factors for the motion equations is used. The aim of the paper is to construct a new difference scheme for the problems of motion of an incompressible fluid. Nonlinear nonstationary phenomena are significant in a wide range of flow parameters in the presence of a free surface.
Publication Impact Profile
- Citations
- CrossRef - Citation Indexes: 1
- Scopus - Citation Indexes: 3
- Captures
- Mendeley - Readers: 2
Publication details
References0
Structured references will appear here after the reference import pass. The count is preserved now so the scholarly record is not incomplete.
Citing literature
Number of times cited according to Crossref: 1
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.