A fast iterative model for discrete velocity calculations on triangular grids

DOI10.1016/j.jcp.2010.02.015zbMath1191.82039OpenAlexW2169636091MaRDI QIDQ974306

Dimitris Valougeorgis, Lajos Szalmás

Publication date: 27 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.02.015

zbMATH Keywords

stability analysisaccelerationrarefied gas flowsdiscrete velocity methoddiscrete kinetic equations

Mathematics Subject Classification ID

Related Items (12)

Can we find steady-state solutions to multiscale rarefied gas flows within dozens of iterations? ⋮ Variance-reduced DSMC method for axial-symmetric flows of gaseous mixtures ⋮ General synthetic iterative scheme for nonlinear gas kinetic simulation of multi-scale rarefied gas flows ⋮ A fast iterative discrete velocity method for ternary gas mixtures flowing through long tubes ⋮ An accelerated discrete velocity method for flows of rarefied ternary gas mixtures in long rectangular channels ⋮ Accelerated discrete velocity method for axial-symmetric flows of gaseous mixtures as defined by the mccormack kinetic model ⋮ General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows ⋮ A fast iterative scheme for the linearized Boltzmann equation ⋮ Variance-reduced DSMC for binary gas flows as defined by the McCormack kinetic model ⋮ Multiscale simulation of molecular gas flows by the general synthetic iterative scheme ⋮ A high-order hybridizable discontinuous Galerkin method with fast convergence to steady-state solutions of the gas kinetic equation ⋮ Accurate and efficient computation of the Boltzmann equation for Couette flow: influence of intermolecular potentials on Knudsen layer function and viscous slip coefficient

Cites Work

• Numerical solution of the linearized Boltzmann equation for an arbitrary intermolecular potential
• Discrete-velocity models and numerical schemes for the Boltzmann-BGK equation in plane and axisymmetric geometries
• Slow rarefied flows. Theory and application to micro-electro-mechanical systems.
• Numerical solutions of the Boltzmann equation: Comparison of different algorithms
• Rarefied gas flow in a triangular duct based on a boundary fitted lattice
• Numerical analysis of thermal-slip and diffusion-slip flows of a binary mixture of hard-sphere molecular gases
• Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients
• Acceleration Schemes of the Discrete Velocity Method: Gaseous Flows in Rectangular Microchannels
• Construction of linearized kinetic models for gaseous mixtures and molecular gases
• Boundary-driven nonequilibrium gas flow in a grooved channel via kinetic theory
• Formulation and Stability Analysis of Rapidly Convergent Iteration Schemes for the 2‐D Linearized BGK Equation
• Direct methods for solving the Boltzmann equation and study of nonequilibrium flows

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