The &Dgr;-&egr; method for the Boltzmann equation
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by friction
Journal of Computational Physics
Kinetic flux-vector splitting for the Navier-Stokes equations
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by half fluxes
Journal of Computational Physics
An adaptive domain decomposition procedure for Boltzmann and Euler equations
Journal of Computational and Applied Mathematics
A robust and accurate LED-BGK solver on unstructured adaptive meshes
Journal of Computational Physics
Coupling of the Boltzmann and Euler equations with automatic domain decomposition
Journal of Computational Physics
Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
Journal of Computational Physics
Journal of Computational Physics
On the construction of kinetic schemes
Journal of Computational Physics
A Cartesian grid method with transient anisotropic adaptation
Journal of Computational Physics
Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
Journal of Computational Physics
Management of discontinuous reconstruction in kinetic schemes
Journal of Computational Physics
A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation
Journal of Computational Physics
A compressible Navier-Stokes flow solver with scalar transport
Journal of Computational Physics
Simple derivation of high-resolution schemes for compressible flows by kinetic approach
Journal of Computational Physics
An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow
Journal of Computational Physics
A moving interface method for dynamic kinetic-fluid coupling
Journal of Computational Physics
Journal of Computational Physics
Multi-scale Simulations of Gas Flows with Unified Flow Solver
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
Coupling Atomistic and Continuum Models for Multi-scale Simulations of Gas Flows
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part I: ICCS 2007
A hybrid particle approach for continuum and rarefied flow simulation
Journal of Computational Physics
Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry
Journal of Computational Physics
A Monte Carlo model for seeded atomic flows in the transition regime
Journal of Computational Physics
A particle-particle hybrid method for kinetic and continuum equations
Journal of Computational Physics
A multiscale kinetic-fluid solver with dynamic localization of kinetic effects
Journal of Computational Physics
A unified gas-kinetic scheme for continuum and rarefied flows
Journal of Computational Physics
Monte Carlo solution of the Boltzmann equation via a discrete velocity model
Journal of Computational Physics
Implicit high-order method for calculating rarefied gas flow in a planar microchannel
Journal of Computational Physics
Towards adaptive kinetic-fluid simulations of weakly ionized plasmas
Journal of Computational Physics
Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo
Journal of Computational Physics
Journal of Computational Physics
Implicit multiblock method for solving a kinetic equation on unstructured meshes
Computational Mathematics and Mathematical Physics
Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions
Journal of Computational Physics
Locally refined discrete velocity grids for stationary rarefied flow simulations
Journal of Computational Physics
Unified gas-kinetic scheme for diatomic molecular simulations in all flow regimes
Journal of Computational Physics
Journal of Scientific Computing
A spectral-Lagrangian Boltzmann solver for a multi-energy level gas
Journal of Computational Physics
Local discrete velocity grids for deterministic rarefied flow simulations
Journal of Computational Physics
Hi-index | 31.53 |
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 combine the efficiency of continuum models with the accuracy of kinetic models. The direct numerical solution of the Boltzmann transport equation is used in rarefied regions, while kinetic schemes of continuum fluid dynamics are used elsewhere. Using similar computational techniques for the kinetic and continuum solvers, and employing intelligent domain decomposition algorithms attain the efficiency and numerical stability of the UFS. Solutions of test problems are presented to illustrate the capabilities of the UFS for high and low speed flows. It is shown that the UFS can dynamically adapt the computational mesh and automatically introduce and remove kinetic patches to provide significant savings by limiting molecular scale solutions only to the regions where they are needed.