Development of a coupled matrix-free LU-SGS solver for hypersonic laminar diatomic gas flows with decoupled vibrational energy mode

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F25%3A00383968" target="_blank" >RIV/68407700:21220/25:00383968 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1016/j.compstruc.2025.107864" target="_blank" >https://doi.org/10.1016/j.compstruc.2025.107864</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.compstruc.2025.107864" target="_blank" >10.1016/j.compstruc.2025.107864</a>

Result language

angličtina

Original language name

Development of a coupled matrix-free LU-SGS solver for hypersonic laminar diatomic gas flows with decoupled vibrational energy mode

Original language description

This study presents a newly developed implicit solver for steady-state, thermally non-equilibrium, hypersonic laminar diatomic gas flows. The algorithm focuses on cases where the gas is highly vibrationally excited, necessitating the consideration of decoupled internal energy modes. This phenomenon is modeled using the Navier–Stokes equations, along with an additional transport equation for vibrational energy. Implemented within the OpenFOAM framework, the solver employs the finite volume method with an approximate HLLC Riemann solver, enhanced with a low-Mach correction. Furthermore, limited piecewise linear reconstructions are used for convective fluxes, while viscous fluxes are approximated using a central scheme. Time marching is performed using the first-order backward differentiation formula. The resulting equations are solved using a matrix-free lower-upper symmetric Gauss–Seidel scheme, enabling efficient simulations with a low memory footprint. The developed solver is applied to solve two distinct axisymmetric hypersonic flow problems: hollow-cylinder-flare and double-cone flows, both computed for two different sets of free-stream and wall conditions. The results are compared with experimental data and those obtained from equilibrium simulations. Finally, a comparison with a well-known explicit non-equilibrium solver and simulation data from literature is provided, focusing on accuracy and performance.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

<a href="/en/project/EF16_019%2F0000826" target="_blank" >EF16_019/0000826: Center of Advanced Aerospace Technology</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Computers and Structures

ISSN

0045-7949

e-ISSN

1879-2243

Volume of the periodical

316

Issue of the periodical within the volume

September

Country of publishing house

GB - UNITED KINGDOM

Number of pages

11

Pages from-to

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UT code for WoS article

001519911300001

EID of the result in the Scopus database

2-s2.0-105008509931