Kinetic numerical methods for solving the semiclassical Boltzmann-BGK equation

DOI10.1016/J.COMPFLUID.2012.12.013zbMath1290.76129OpenAlexW2055760691MaRDI QIDQ2015990

Zhi-Hui Li, Jaw-Yen Yang, Su-Yuan Chen, Bagus Putra Muljadi

Publication date: 18 June 2014

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2012.12.013

zbMATH Keywords

lattice Boltzmann methodsemiclassical Boltzmann-BGK equationarbitrary particle statisticskinetic numerical method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (3)

A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows ⋮ Quantum BGK Model near a Global Fermi--Dirac Distribution ⋮ Stationary quantum BGK model for bosons and fermions in a bounded interval

Cites Work

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• Simulation of shock wave diffraction over \(90^\circ \) sharp corner in gases of arbitrary statistics
• High resolution kinetic beam schemes in generalized coordinates for ideal quantum gas dynamics
• A gas-kinetic BGK scheme for semiclassical Boltzmann hydrodynamic transport
• Implicit preconditioned WENO scheme for steady viscous flow computation
• A numerical study of oblique shock wave reflections over wedges in an ideal quantum gas
• High resolution schemes for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Implicit weighted ENO schemes for the three-dimensional incompressible Navier-Stokes equations
• Weighted essentially non-oscillatory schemes
• A kinetic beam scheme for relativistic gas dynamics
• Rarefied flow computations using nonlinear model Boltzmann equations
• Efficient implementation of weighted ENO schemes
• Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
• High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics
• Lattice-Boltzmann Method for Complex Flows
• Implicit Schemes and LU Decompositions
• Lattice BGK Models for Navier-Stokes Equation
• Third-order nonoscillatory schemes for the Euler equations
• High-resolution, nonoscillatory schemes for unsteady compressible flows
• The Quantum Hydrodynamic Model for Semiconductor Devices
• Nonoscillatory schemes for kinetic model equations for gases with internal energy states
• Multiple–relaxation–time lattice Boltzmann models in three dimensions
• LATTICE BOLTZMANN METHOD FOR FLUID FLOWS
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
• Numerical solutions of the nonlinear model Boltzmann equations
• Semiclassical Lattice Boltzmann Simulations of Rarefied Circular Pipe Flows
• Kinetic Flux Vector Splitting Schemes for Ideal Quantum Gas Dynamics
• Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation
• On the kinetic theory of rarefied gases
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
• A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method

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