A high-order moment approach for capturing non-equilibrium phenomena in the transition regime
From MaRDI portal
Publication:5306105
DOI10.1017/S002211200900768XzbMath1183.76850OpenAlexW2061374290MaRDI QIDQ5306105
Publication date: 29 March 2010
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s002211200900768x
Related Items
Multiple temperature kinetic model and its applications to micro-scale gas flows, General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows, Coupling kinetic and continuum using data-driven maximum entropy distribution, Moment method as a numerical solver: challenge from shock structure problems, Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation, A fast spectral method for the Boltzmann equation for monatomic gas mixtures, Lattice Boltzmann models based on half-range Gauss-Hermite quadratures, Analytical solution of plane Couette flow in the transition regime and comparison with direct simulation Monte Carlo data, The Burnett equations in cylindrical coordinates and their solution for flow in a microtube, Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions, Study of Shock Structures Using the Unified Gas-Kinetic Wave-Particle Method with Various BGK Models, Spatial stochasticity and non-continuum effects in gas flows, Kramers' problem and the Knudsen minimum: a theoretical analysis using a linearized 26-moment approach, Construction of boundary conditions for Navier-Stokes equations from the moment system, A novel solver for simulation of flows from continuum regime to rarefied regime at moderate Knudsen number, Construction of Non-Equilibrium Gas Distribution Functions through Expansions in Peculiar Velocity Space, An efficient NR\(xx\) method for Boltzmann-BGK equation, Fundamental solutions to moment equations for the simulation of microscale gas flows, Nonclassical heat transfer in a microchannel and a problem for lattice Boltzmann equations, Rarefied gas flow past a liquid droplet: interplay between internal and external flows, On the apparent permeability of porous media in rarefied gas flows, Linearized stability analysis of two-dimension Burnett equations, Grad's distribution function for 13 moments-based moment gas kinetic solver for steady and unsteady rarefied flows: discrete and explicit forms, Thermophoresis of a spherical particle: modelling through moment-based, macroscopic transport equations, The sound of a pulsating sphere in a rarefied gas: continuum breakdown at short length and time scales, A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity, An extended gas-kinetic scheme for shock structure calculations, Coupled constitutive relations: a second law based higher-order closure for hydrodynamics, Lattice ellipsoidal statistical BGK model for thermal non-equilibrium flows, Establishing a data-based scattering kernel model for gas–solid interaction by molecular dynamics simulation, Non-equilibrium effects on flow past a circular cylinder in the slip and early transition regime, An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics, A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes, Application of moment equations to the mathematical simulation of gas microflows, Effects of incomplete surface accommodation on non-equilibrium heat transfer in cavity flow: a parallel DSMC study, Slow gas microflow past a sphere: Analytical solution based on moment equations, Moment theories for a -dimensional dilute granular gas of Maxwell molecules, -theorem and boundary conditions for the linear R26 equations: application to flow past an evaporating droplet, Heat flux correlation for high-speed flow in the transitional regime, Rarefied flow separation in microchannel with bends, Data-driven discovery of governing equations for fluid dynamics based on molecular simulation, Non-equilibrium dynamics of dense gas under tight confinement, Evaporation-driven vapour microflows: analytical solutions from moment methods, Velocity slip coefficients based on the hard-sphere Boltzmann equation, A discontinuous Galerkin fast spectral method for the full Boltzmann equation with general collision kernels, Fundamental solutions to the regularised 13-moment equations: efficient computation of three-dimensional kinetic effects, A hybrid approach to couple the discrete velocity method and method of moments for rarefied gas flows, Efficient simulation of non-classical liquid–vapour phase-transition flows: a method of fundamental solutions, Accelerating the convergence of the moment method for the Boltzmann equation using filters
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- Finite element methods for calculation of steady, viscoelastic flow using constitutive equations with a Newtonian viscosity.
- A computational strategy for the regularized 13 moment equations with enhanced wall-boundary conditions
- A stable and accurate convective modelling procedure based on quadratic upstream interpolation
- The Boltzmann equation and its applications
- Application of high moment theory to the plane Couette flow
- The linearized Boltzmann equation: Concise and accurate solutions to basic flow problems
- Statistical simulation of rarefied gas flows in micro-channels.
- Moment closure hierarchies for kinetic theories.
- A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion
- Linear kinetic heat transfer: moment equations, boundary conditions, and Knudsen layers
- Comparison of kinetic theory and hydrodynamics for Poiseuille flow
- A boundary value problem in extended thermodynamics -- one-dimensional steady flows with heat conduction
- Perturbation analysis of a stationary nonequilibrium flow generated by an external force
- Boundary conditions for regularized 13-moment-equations for micro-channel-flows
- New directions in fluid dynamics: non-equilibrium aerodynamic and microsystem flows
- Numerical study of the turbulent flow past an airfoil with trailing edge separation
- Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
- Velocity profile in the Knudsen layer according to the Boltzmann equation
- The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
- Multiple-temperature kinetic model for continuum and near continuum flows
- Second-order slip laws in microchannels for helium and nitrogen
- Regularization of Grad’s 13 moment equations: Derivation and linear analysis
- Stable transport equations for rarefied gases at high orders in the Knudsen number
- Variance reduction for Monte Carlo solutions of the Boltzmann equation
- Oscillatory shear-driven gas flows in the transition and free-molecular-flow regimes
- Curvature-compensated convective transport: SMART, A new boundedness- preserving transport algorithm
- Microchannel flow in the slip regime: gas-kinetic BGK–Burnett solutions
- Regularized 13-moment equations: shock structure calculations and comparison to Burnett models
- LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
- Hydrodynamics from Grad's equations: What can we learn from exact solutions?
- A convergent and universally bounded interpolation scheme for the treatment of advection
- Computational framework for the regularized 20‐moment equations for non‐equilibrium gas flows
- Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
- Asymptotic Theory of the Boltzmann Equation
- Moment realizability and the validity of the Navier–Stokes equations for rarefied gas dynamics
- Two‐Dimensional Bulk Microflow Simulations Based on Regularized Grad’s 13‐Moment Equations
- Note on N‐dimensional hermite polynomials
- On the kinetic theory of rarefied gases
- The profile of a steady plane shock wave
- A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method
- Regularization of the Burnett equations via relaxation
- Couette flow from a thirteen field theory with slip and jump boundary conditions.