When is a P-space weakly discretely generated?

In this paper, we present the extension of the pressure-based solver designed for the simulation of compressible and/or incompressible two-phase flows of viscous fluids. The core of the numerical scheme is based on the hybrid Kurganov — Noele — Petrova/PIMPLE algorithm. The governing equations are discretized in the conservative form and solved for velocity and pressure, with the density evaluated by an equation of state. The acoustic-conservative interface discretization technique helps to prevent the unphysical instabilities on the interface. The solver was validated on various cases in wide range of Mach number, both for single-phase and two-phase flows. The numerical algorithm was implemented on the basis of the well-known open-source Computational Fluid Dynamics library OpenFOAM in the solver called interTwoPhaseCentralFoam.
The source code and the pack of test cases are available on GitHub: https://github.com/unicfdlab/hybridCentralSolvers
The research was supported by Russian Science Foundation (proj. 17-79-20445).

/pdf/an-extension-of-the-all-mach-number-pressure-based-solution-2ps9mdxy.pdf

An extension of the all-Mach number pressure-based solution framework for numerical modelling of two-phase flows with interface

/pdf/topologies-determined-by-discrete-subsets-2hc71mq9y8.pdf

Topologies determined by discrete subsets

/pdf/stepen-diskretnoi-porozhdennosti-kompaktov-degree-of-533qkdih2j.pdf

Степень дискретной порожденности компактов@@@Degree of Discrete Generation of Compact Sets

This paper presents a new method for the numerical simulation of two-phase incompressible immiscible flows. The methodology is based on the hydrodynamic equations regularization method using the quasi-hydrodynamic approach. Two systems of regularized equations are developed, which differ in terms of velocity regularization. The comparison of the described equations systems and the approbation of the numerical model on two numerical tests are given: dam break problem with the bottom step, for which the experimental data are described (Koshizuka’s experiment), and the cubic drop evolution problem. The latter problem is a model one with artificially specified parameters that demonstrates the effects of surface tension. A numerical model of two-phase flows is implemented in the open-source platform OpenFOAM using the finite volume method.

/pdf/on-a-new-method-for-regularizing-equations-two-phase-20v13ilexv.pdf

On a new method for regularizing equations two-phase incompressible fluid

/pdf/regularization-method-for-numerical-modelling-of-a-transport-4dzm5q4htl.pdf

Regularization method for numerical modelling of a transport of pollutant in shallow water

This paper presents RSWEFoam – a new solver for shallow water flow simulation, which is implemented based on the OpenFOAM v2012 open integrable platform using the finite volume method. The model of regularized shallow water equations underlying the solver is described, as well as the features of its implementation. RSWEFoam is integrated into an open-source framework QGDSolver for fluid and gas dynamics problems modeling within the QGD/QGD approach. The results of numerical simulation using a solver are presented.

Aleksandr Vladimirovich Ivanov

Papers

Степень дискретной порожденности компактов@@@Degree of Discrete Generation of Compact Sets

On a new method for regularizing equations two-phase incompressible fluid

Regularization method for numerical modelling of a transport of pollutant in shallow water

On the implementation of the shallow water model based on the quasi-gasdynamic approach in the open-source software package OpenFOAM

Вычислительный комплекс для моделирования морских течений с применением регуляризованных уравнений мелкой воды