Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement

VI Kolobov, RR Arslanbekov, VV Aristov… - Journal of …, 2007 - Elsevier
This paper describes a Unified Flow Solver (UFS) for rarefied and continuum gas flows. The
UFS separates the rarefied and continuum flow domains and selects appropriate solvers to …

A modular particle–continuum numerical method for hypersonic non-equilibrium gas flows

TE Schwartzentruber, LC Scalabrin, ID Boyd - Journal of Computational …, 2007 - Elsevier
A modular particle–continuum (MPC) numerical method for steady-state flows is presented
which solves the Navier–Stokes equations in regions of near-equilibrium and uses the direct …

Arbitrary Lagrangian-Eulerian discrete velocity method with application to laser-induced plume expansion

VA Titarev, AA Morozov - Applied Mathematics and Computation, 2022 - Elsevier
We propose a direct arbitrary Lagrangian-Eulerian (ALE) variant of the previously developed
discrete velocity method to solve the kinetic equation with the Bhatnagar–Gross–Krook …

Efficient deterministic modelling of three-dimensional rarefied gas flows

VA Titarev - Communications in Computational Physics, 2012 - cambridge.org
The paper is devoted to the development of an efficient deterministic framework for
modelling of three-dimensional rarefied gas flows on the basis of the numerical solution of …

Towards adaptive kinetic-fluid simulations of weakly ionized plasmas

VI Kolobov, RR Arslanbekov - Journal of Computational Physics, 2012 - Elsevier
This paper describes an Adaptive Mesh and Algorithm Refinement (AMAR) methodology for
multi-scale simulations of gas flows and the challenges associated with extending this …

Evaluation of facility effects on ion migration in a Hall thruster plume

DL Brown, AD Gallimore - Journal of Propulsion and Power, 2011 - arc.aiaa.org
HALL thrusters operate through the plasmadynamic interactions of applied electric and
magnetic fields with injected propellant and electrons from a cathode. The advantages of …

Numerical analysis of spacecraft rocket plume impingement under lunar environment

A Tosh, PA Liever, RR Arslanbekov… - Journal of Spacecraft and …, 2011 - arc.aiaa.org
ALUNAR spacecraft lands with a gradual powered-descent approach [1], its thruster rocket
nozzle or multiple engine clusters being directed towards the surface of the moon. Because …

Investigation of the kinetic model equations

S Liu, C Zhong - Physical Review E, 2014 - APS
Currently the Boltzmann equation and its model equations are widely used in numerical
predictions for dilute gas flows. The nonlinear integro-differential Boltzmann equation is the …

A parallel Runge–Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations

W Su, AA Alexeenko, G Cai - Computers & Fluids, 2015 - Elsevier
Abstract The high-order Runge–Kutta Discontinuous Galerkin (RKDG) method is applied to
solve the 2D Boltzmann kinetic equations. A conservative DG type discretization of the non …

Comparative study for rarefied gas flow into vacuum through a short circular pipe

VV Aristov, EM Shakhov, VA Titarev, SA Zabelok - Vacuum, 2014 - Elsevier
The problem of rarefied gas flow into vacuum through a short circular pipe is studied
numerically by solving the Boltzmann kinetic equation. Comparison of the results obtained …