Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas flows: A discontinuous Galerkin formulation
From MaRDI portal
Publication:3528128
DOI10.1002/fld.1724zbMath1226.76036OpenAlexW2165754031MaRDI QIDQ3528128
Lowell L. Baker, Nicolas G. Hadjiconstantinou
Publication date: 8 October 2008
Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/fld.1724
Stochastic analysis applied to problems in fluid mechanics (76M35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)
Related Items (11)
Stable Runge-Kutta discontinuous Galerkin solver for hypersonic rarefied gaseous flow based on 2D Boltzmann kinetic model equations ⋮ High order central WENO-implicit-explicit Runge Kutta schemes for the BGK model on general polygonal meshes ⋮ A parallel Runge-Kutta discontinuous Galerkin solver for rarefied gas flows based on 2D Boltzmann kinetic equations ⋮ A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization ⋮ Variance-reduced DSMC for binary gas flows as defined by the McCormack kinetic model ⋮ Solving the Boltzmann equation on GPUs ⋮ Low-variance direct Monte Carlo simulations using importance weights ⋮ Multiscale simulation of molecular gas flows by the general synthetic iterative scheme ⋮ Implicit discontinuous Galerkin method for the Boltzmann equation ⋮ A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation ⋮ Asymptotic analysis of the Boltzmann–BGK equation for oscillatory flows
Uses Software
Cites Work
- A Galerkin method for the simulation of the transient 2-D/2-D and 3-D/3-D linear Boltzmann equation
- The Boltzmann equation and its applications
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- Statistical error in particle simulations of hydrodynamic phenomena.
- Slow rarefied flows. Theory and application to micro-electro-mechanical systems.
- A low-variance deviational simulation Monte Carlo for the Boltzmann equation
- RKDG Finite Element Method Combined with BGK Scheme for Solving Fluid Dynamics System
- Numerical analysis of the Poiseuille and thermal transpiration flows between two parallel plates on the basis of the Boltzmann equation for hard-sphere molecules
- The limits of Navier-Stokes theory and kinetic extensions for describing small-scale gaseous hydrodynamics
- Low-variance deviational simulation Monte Carlo
- Variance reduction for Monte Carlo solutions of the Boltzmann equation
- A direct simulation Monte Carlo method for rarefied gas flows in the limit of small Mach number
- Exact solutions of the Boltzmann equation
This page was built for publication: Variance-reduced Monte Carlo solutions of the Boltzmann equation for low-speed gas flows: A discontinuous Galerkin formulation
