A hybrid method for hydrodynamic-kinetic flow. I: A particle-grid method for reducing stochastic noise in kinetic regimes

DOI10.1016/j.jcp.2011.03.047zbMath1416.76239OpenAlexW1964154587MaRDI QIDQ550983

Alessandro Alaia, Gabriella Puppo

Publication date: 13 July 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.03.047

zbMATH Keywords

Monte Carlo methodnumerical methods for kinetic flowsparticle-grid method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (4)

A fast spectral method for the Boltzmann equation for monatomic gas mixtures ⋮ A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization ⋮ A hybrid method for hydrodynamic-kinetic flow. II: Coupling of hydrodynamic and kinetic models ⋮ Numerical methods for kinetic equations

Uses Software

• Boltzmann

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A hybrid method for hydrodynamic-kinetic flow. II: Coupling of hydrodynamic and kinetic models
• Development and verification of a coupled DSMC-NS scheme using unstructured mesh
• Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation
• The Boltzmann equation and its applications
• Coupling of the Boltzmann and Euler equations with automatic domain decomposition
• An adaptive domain decomposition procedure for Boltzmann and Euler equations
• The mathematical theory of dilute gases
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• Coupling Boltzmann and Navier-Stokes equations by friction
• Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
• Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases
• High order numerical methods for the space non-homogeneous Boltzmann equation.
• A modular particle-continuum numerical method for hypersonic non-equilibrium gas flows
• A moving interface method for dynamic kinetic-fluid coupling
• A smooth transition model between kinetic and hydrodynamic equations
• Hybrid multiscale methods. I: Hyperbolic relaxation problems
• Microflows and nanoflows. Fundamentals and simulation. Foreword by Chih-Ming Ho.
• Implicit-explicit schemes for BGK kinetic equations
• Solving the Boltzmann Equation in N log₂N
• Direct simulation of gas flows at the molecular level
• Hybrid Multiscale Methods II. Kinetic Equations
• On a simulation scheme for the Boltzmann equation
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: A hybrid method for hydrodynamic-kinetic flow. I: A particle-grid method for reducing stochastic noise in kinetic regimes