Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement
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Publication:882067
DOI10.1016/j.jcp.2006.09.021zbMath1183.76851OpenAlexW2085955212MaRDI QIDQ882067
S. A. Zabelok, R. R. Arslanbekov, A. A. Frolova, V. V. Aristov, Victor I. Kolobov
Publication date: 23 May 2007
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2006.09.021
Boltzmann kinetic equationrarefied gas dynamicshybrid methodsadaptive mesh and algorithm refinementunified flow solver
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Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Management of discontinuous reconstruction in kinetic schemes
- Kinetic flux-vector splitting for the Navier-Stokes equations
- A Cartesian grid method with transient anisotropic adaptation
- An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow
- Regularized Boltzmann operators
- Direct simulation methods for compressible inviscid ideal-gas flow
- One-dimensional compressible gas dynamical calculations using the Boltzmann equation
- The Boltzmann equation and its applications
- Coupling of the Boltzmann and Euler equations with automatic domain decomposition
- A robust and accurate LED-BGK solver on unstructured adaptive meshes
- An adaptive domain decomposition procedure for Boltzmann and Euler equations
- The \(\Delta\)-\(\epsilon\) method for the Boltzmann equation
- Kinetic flux vector splitting for Euler equations
- Coupling Boltzmann and Navier-Stokes equations by half fluxes
- Gerris: A tree-based adaptive solver for the incompressible Euler equations in complex geometries.
- On the construction of kinetic schemes
- A compressible Navier-Stokes flow solver with scalar transport
- Coupling Boltzmann and Navier-Stokes equations by friction
- Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
- Kinetic theory and fluid dynamics
- A hybrid kinetic/fluid model for solving the gas dynamics Boltzmann-BGK equation
- Modeling and computational methods for kinetic equations
- Simple derivation of high-resolution schemes for compressible flows by kinetic approach
- Solving the kinetic equation for all Knudsen numbers
- Kinetics of thermalization in shock waves
- Cylinder Drag in the Transition from Continuum to Free-Molecule Flow
- Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
- A direct method for solving the Boltzmann equation
- Microchannel flow in the slip regime: gas-kinetic BGK–Burnett solutions
- GENERALIZED DISCRETE VELOCITY MODELS
- A discrete-velocity scheme for the Boltzmann operator of rarefied gas dynamics
- Direct methods for solving the Boltzmann equation and study of nonequilibrium flows
- A conservative method for solving the Boltzmann equation with centrally symmetric interaction potentials
- A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
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