Validation of the low dissipation computational algorithm CABARET-MFSH for multilayer hydrostatic flows with a free surface on the lock-release experiments

Validation of the low dissipation computational algorithm CABARET-MFSH for multilayer hydrostatic flows with a free surface on the lock-release experiments

•A model for calculating a stratified flow with a free surface is proposed.•The original multilayer hydrostatic model is ill-posedness and requires regularization.•Calculations show that the contribution of the parameters of the filtration procedure to dissipation is small.•The model is validated ag...

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Bibliographic Details
Published in:Journal of computational physics Vol. 463; p. 111239
Main Authors: Goloviznin, V.M., Maiorov, Pavel A., Maiorov, Petr A., Solovjev, A.V.
Format: Journal Article
Language:English
Published: Cambridge Elsevier Inc 15-08-2022
Elsevier Science Ltd
Subjects:
Algorithms
Cabaret
CABARET scheme
Computational physics
Experiments
Filtration
Free surfaces
Gravity current
Lock-release experiments
Mathematical models
Multilayers
Numerical dissipation
Numerical methods
Stratified flow
Validation
Validation
CABARET scheme
Gravity current
Lock-release experiments
Numerical methods
Stratified flow
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Summary:•A model for calculating a stratified flow with a free surface is proposed.•The original multilayer hydrostatic model is ill-posedness and requires regularization.•Calculations show that the contribution of the parameters of the filtration procedure to dissipation is small.•The model is validated against lock-release experiments. The article presents the results of validation in lock-release experiments of a new low-dissipative multilayer hydrostatic model CABARET-MFSH. This model describes the dynamics of fluid with variable density and free surface. The computational algorithm of the new model is based on the method of hyperbolic decomposition, which presents of a multilayer structure in the form of separate layers interacting throughout interfaces. An explicit CABARET scheme is used to solve the system of hyperbolic equations in each layer. The scheme has a second order of approximation and is time reversible. Consequently, the scheme is initially non-dissipative. Besides, mass and momentum exchange between layers and filtering of flux variables are used to regularize the multilayer hydrostatic model, which introduces additional numerical dissipation into the scheme. The parameters of the filtering procedure are determined empirically from the condition of the stability of the algorithm and the minimal of the scheme viscosity. A 2D spatial version of our model is used for modeling lock-release experiments described in this article due to the uniformity of the current in the transverse direction. The results of numerical calculations are in satisfactory agreement with experimental data.
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2022.111239