Statistical error in particle simulations of hydrodynamic phenomena.
From MaRDI portal
Publication:1873439
DOI10.1016/S0021-9991(03)00099-8zbMath1047.76578arXivcond-mat/0207430OpenAlexW2096529920WikidataQ108167860 ScholiaQ108167860MaRDI QIDQ1873439
Gang He, Nicolas G. Hadjiconstantinou, Martin Z. Bazant, Alejandro L. Garcia
Publication date: 20 May 2003
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0207430
Stochastic analysis applied to problems in fluid mechanics (76M35) Gas dynamics (general theory) (76N15) Particle methods and lattice-gas methods (76M28) Statistical mechanics of gases (82D05)
Related Items
A combined approach to the estimation of statistical error of the direct simulation Monte Carlo method, On derivation and verification of a kinetic model for quantum vibrational energy of polyatomic gases in the gas-kinetic unified algorithm, Selection of sampling numerical parameters for the DSMC method, A DSMC investigation of gas flows in micro-channels with bends, Variance-reduced DSMC method for axial-symmetric flows of gaseous mixtures, An accurate treatment of diffuse reflection boundary conditions for a stochastic particle Fokker-Planck algorithm with large time steps, A numerical study of the heat transfer through a rarefied gas confined in a microcavity, A fast spectral method for the Boltzmann equation for monatomic gas mixtures, Subsonic flow boundary conditions for the direct simulation Monte Carlo method, A modular particle-continuum numerical method for hypersonic non-equilibrium gas flows, Theoretical and numerical analysis of approaches to evaluation of statistical error of the DSMC method, Gas motion induced by unsteady boundary heating in a small-scale slab, Dynamics of microscale shock/vortex interaction, Convergence analysis of the direct simulation Monte Carlo based on the physical laws of conservation, The implementation of subsonic boundary conditions for the direct simulation Monte Carlo method in dsmcFoam, Hybrid lattice Boltzmann-direct simulation Monte Carlo approach for flows in three-dimensional geometries, A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization, An asymptotic-preserving Monte Carlo method for the Boltzmann equation, Numerical simulation of a moving rigid body in a rarefied gas, Hybrid simulations of rarefied supersonic gas flows in micro-nozzles, Measurement bias of fluid velocity in molecular simulations, Importance sampling variance reduction for the Fokker-Planck rarefied gas particle method, Parallel multiscale simulations of a brain aneurysm, Non-continuum effects on the sound of a heated line source: from a monopole to non-isotropic radiation, Variance reduced particle solution of the Fokker-Planck equation with application to rarefied gas and plasma dynamics, Assessment and development of the gas kinetic boundary condition for the Boltzmann equation, On efficient simulations of multiscale kinetic transport, Numerical simulations of two-fluid turbulent mixing at large density ratios and applications to the Rayleigh–Taylor instability, MCBTE: a variance-reduced Monte Carlo solution of the linearized Boltzmann transport equation for phonons, Kinetic modelling of rarefied gas flows with radiation, Contribution of viscosity to the circulation deposition in the Richtmyer–Meshkov instability, Variance-reduced DSMC for binary gas flows as defined by the McCormack kinetic model, A high-order unified stochastic particle method based on the Bhatnagar-Gross-Krook model for multi-scale gas flows, Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow, Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas flows: A discontinuous Galerkin formulation, The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics, Low-variance deviational simulation Monte Carlo, A unified stochastic particle Bhatnagar-Gross-Krook method for multiscale gas flows, Minimal continuum theories of structure formation in dense active fluids, Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow, Octant flux splitting information preservation DSMC method for thermally driven flows, A low-variance deviational simulation Monte Carlo for the Boltzmann equation, A comparative study of the DSBGK and DVM methods for low-speed rarefied gas flows, A quadrature-based third-order moment method for dilute gas-particle flows, Rarefaction effects on shear driven oscillatory gas flows: A direct simulation Monte Carlo study in the entire Knudsen regime, Failure analysis of the molecular block model for the direct simulation Monte Carlo method, Gridless DSMC, Variance reduction for Monte Carlo solutions of the Boltzmann equation, Investigation of rarefied supersonic flows into rectangular nanochannels using a three-dimensional direct simulation Monte Carlo method, Numerical Simulations of Unsteady Flows From Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm, A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows, A Compressible Conserved Discrete Unified Gas-Kinetic Scheme with Unstructured Discrete Velocity Space for Multi-Scale Jet Flow Expanding into Vacuum Environment, High frequency oscillatory flows in a slightly rarefied gas according to the Boltzmann–BGK equation, Low-variance direct Monte Carlo simulations using importance weights, A hybrid particle-continuum method applied to shock waves, Hybrid atomistic--continuum method for the simulation of dense fluid flows, On the motion induced in a gas confined in a small-scale gap due to instantaneous boundary heating, Numerical study on rarefied unsteady jet flow expanding into vacuum using the gas-kinetic unified algorithm, An analysis of the convergence of the direct simulation Monte Carlo method, Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes, Data-driven discovery of governing equations for fluid dynamics based on molecular simulation, A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation, Convergence behavior of a new DSMC algorithm, Computation of head-disk interface gap micro flowfields using DSMC and continuum-atomistic hybrid methods, A variance-reduced direct Monte Carlo simulation method for solving the Boltzmann equation over a wide range of rarefaction, Asymptotic analysis of the Boltzmann–BGK equation for oscillatory flows, An atomistic model for the thermal resistance of a liquid–solid interface
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some applications of persistent random walks and the telegrapher's equation
- Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
- Hybrid atomistic-continuum formulations and the moving contact-line problem
- Direct simulation of gas flows at the molecular level
- Time step truncation error in direct simulation Monte Carlo
- Analysis of discretization in the direct simulation Monte Carlo
- A hyperbolic equation for turbulent diffusion
