A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer

This paper is devoted to numerical modeling of a supersonic flow around a blunt body by a viscous gas with an admixture of relatively large high-inertia particles that, after reflection from the surface, may go beyond the shock layer and change the flow structure dramatically. To calculate the gas-d...

Full description

Bibliographic Details
Main Authors: Andrey Sposobin, Dmitry Reviznikov
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Fluids
Subjects:
Online Access:https://www.mdpi.com/2311-5521/8/2/53
_version_ 1797621064101003264
author Andrey Sposobin
Dmitry Reviznikov
author_facet Andrey Sposobin
Dmitry Reviznikov
author_sort Andrey Sposobin
collection DOAJ
description This paper is devoted to numerical modeling of a supersonic flow around a blunt body by a viscous gas with an admixture of relatively large high-inertia particles that, after reflection from the surface, may go beyond the shock layer and change the flow structure dramatically. To calculate the gas-dynamic interaction of moving particles with the shock layer, it is important to take into account the large difference in scales of the flow around the particles and around the body. To make the computations effective, we use a meshless method to solve non-stationary Navier–Stokes equations. The algorithm is based on the approximation of partial derivatives by the least squares method on a set of nodes distributed in the calculation area. Each moving particle is surrounded by a cloud of calculation nodes belonging to its domain and moving with it in space. The algorithm has been tested on the problem of the motion of a single particle and a pair of particles in a supersonic flow around a sphere.
first_indexed 2024-03-11T08:51:22Z
format Article
id doaj.art-f8b17f3ee65548e1a8a8d16e3431194f
institution Directory Open Access Journal
issn 2311-5521
language English
last_indexed 2024-03-11T08:51:22Z
publishDate 2023-02-01
publisher MDPI AG
record_format Article
series Fluids
spelling doaj.art-f8b17f3ee65548e1a8a8d16e3431194f2023-11-16T20:28:44ZengMDPI AGFluids2311-55212023-02-01825310.3390/fluids8020053A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock LayerAndrey Sposobin0Dmitry Reviznikov1Moscow Aviation Institute, National Research University, Volokolamskoye sh. 4, 125993 Moscow, RussiaMoscow Aviation Institute, National Research University, Volokolamskoye sh. 4, 125993 Moscow, RussiaThis paper is devoted to numerical modeling of a supersonic flow around a blunt body by a viscous gas with an admixture of relatively large high-inertia particles that, after reflection from the surface, may go beyond the shock layer and change the flow structure dramatically. To calculate the gas-dynamic interaction of moving particles with the shock layer, it is important to take into account the large difference in scales of the flow around the particles and around the body. To make the computations effective, we use a meshless method to solve non-stationary Navier–Stokes equations. The algorithm is based on the approximation of partial derivatives by the least squares method on a set of nodes distributed in the calculation area. Each moving particle is surrounded by a cloud of calculation nodes belonging to its domain and moving with it in space. The algorithm has been tested on the problem of the motion of a single particle and a pair of particles in a supersonic flow around a sphere.https://www.mdpi.com/2311-5521/8/2/53heterogenous supersonic flowgas-dynamic particle—shock layer interactionnumerical simulation
spellingShingle Andrey Sposobin
Dmitry Reviznikov
A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
Fluids
heterogenous supersonic flow
gas-dynamic particle—shock layer interaction
numerical simulation
title A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
title_full A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
title_fullStr A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
title_full_unstemmed A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
title_short A Meshless Algorithm for Modeling the Gas-Dynamic Interaction between High-Inertia Particles and a Shock Layer
title_sort meshless algorithm for modeling the gas dynamic interaction between high inertia particles and a shock layer
topic heterogenous supersonic flow
gas-dynamic particle—shock layer interaction
numerical simulation
url https://www.mdpi.com/2311-5521/8/2/53
work_keys_str_mv AT andreysposobin ameshlessalgorithmformodelingthegasdynamicinteractionbetweenhighinertiaparticlesandashocklayer
AT dmitryreviznikov ameshlessalgorithmformodelingthegasdynamicinteractionbetweenhighinertiaparticlesandashocklayer
AT andreysposobin meshlessalgorithmformodelingthegasdynamicinteractionbetweenhighinertiaparticlesandashocklayer
AT dmitryreviznikov meshlessalgorithmformodelingthegasdynamicinteractionbetweenhighinertiaparticlesandashocklayer