A positivity-preserving and conservative high-order flux reconstruction method for the polyatomic Boltzmann–BGK equation

T Dzanic, FD Witherden, L Martinelli - Journal of Computational Physics, 2023 - Elsevier
In this work, we present a positivity-preserving high-order flux reconstruction method for the
polyatomic Boltzmann–BGK equation augmented with a discrete velocity model that ensures …

Linear stability analysis of hypersonic boundary layers computed by a kinetic approach: A semi-infinite flat plate at 4.5≤ M∞≤ 9

A Klothakis, H Quintanilha Jr, SS Sawant… - … and Computational Fluid …, 2022 - Springer
Linear stability analysis is performed using a combination of two-dimensional direct
simulation Monte Carlo (DSMC)(Bird in Molecular gas dynamics and the direct simulation of …

Global rate coefficients for ionization and recombination of carbon, nitrogen, oxygen, and argon

J Annaloro, V Morel, A Bultel, P Omaly - Physics of Plasmas, 2012 - pubs.aip.org
The flow field modeling of planetary entry plasmas, laser-induced plasmas, inductively
coupled plasmas, arcjets, etc., requires to use Navier-Stokes codes. The kinetic mechanisms …

A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes

M Bisi, W Boscheri, G Dimarco, M Groppi… - Applied Mathematics and …, 2022 - Elsevier
In this work, we consider a novel model for a binary mixture of inert gases. The model, which
preserves the structure of the original Boltzmann equations, combines integro-differential …

Computational study of hypersonic rarefied gas flow over re-entry vehicles using the second-order Boltzmann-Curtiss constitutive model

T Chourushi, S Singh, VA Sreekala… - International Journal of …, 2021 - Taylor & Francis
The aerothermodynamics of re-entry vehicles vary significantly upon re-entry, descent, and
landing, because of the drastic changes in atmospheric density and velocity. In highly …

Level set topology optimization of scalar transport problems

D Makhija, K Maute - Structural and Multidisciplinary Optimization, 2015 - Springer
This paper studies level set topology optimization of scalar transport problems, modeled by
an advection-diffusion equation. Examples of such problems include the transport of energy …

[HTML][HTML] Aerodynamic optimisation of a hypersonic reentry vehicle based on solution of the Boltzmann–BGK equation and evolutionary optimisation

B Evans, SP Walton - Applied Mathematical Modelling, 2017 - Elsevier
Over the past decade there has been a surge in the interest, both academic and commercial,
in supersonic and hypersonic passenger transport. This paper outlines an original approach …

Validation of wall boundary conditions for simulating complex fluid flows via the Boltzmann--BGK equation: Momentum transport and skin friction

T Dzanic, FD Witherden, L Martinelli - arXiv preprint arXiv:2308.00700, 2023 - arxiv.org
The influence and validity of wall boundary conditions for non-equilibrium fluid flows
described by the Boltzmann equation remains an open problem. The substantial …

Simplified hydrodynamic-wave particle method for the multiscale rarefied flow

W Liu, LM Yang, ZL Zhang, CJ Teo, C Shu - Applied Mathematical …, 2023 - Elsevier
Abstract Coupling the Computational Fluid Dynamics (CFD) with the stochastic particle
method to address multi-scale rarefied flows remains of great interest to many researchers …

Validation of wall boundary conditions for simulating complex fluid flows via the Boltzmann equation: Momentum transport and skin friction

T Dzanic, FD Witherden, L Martinelli - Physics of Fluids, 2024 - pubs.aip.org
The influence and validity of wall boundary conditions for non-equilibrium fluid flows
described by the Boltzmann equation remains an open problem. The substantial …