High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics

DOI10.1016/J.JCP.2007.08.014zbMath1388.82005OpenAlexW2122615937MaRDI QIDQ2464970

Jaw-Yen Yang, Yu-Hsin Shi, Tse-Yang Hsieh, Kun Xue

Publication date: 18 December 2007

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2007.08.014

zbMATH Keywords

high-resolution schemeKFVS schemeideal quantum gasquantum gas dynamicsgeneral coordinates

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum equilibrium statistical mechanics (general) (82B10) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (8)

A three-dimensional explicit sphere function-based gas-kinetic flux solver for simulation of inviscid compressible flows ⋮ Modified kinetic flux vector splitting (m-KFVS) method for compressible flows ⋮ A compact fourth-order gas-kinetic scheme for the Euler and Navier-Stokes equations ⋮ Kinetic numerical methods for solving the semiclassical Boltzmann-BGK equation ⋮ A simple distribution function-based gas-kinetic scheme for simulation of viscous incompressible and compressible flows ⋮ Comparative study of 1D, 2D and 3D simplified gas kinetic schemes for simulation of inviscid compressible flows ⋮ A numerical study of oblique shock wave reflections over wedges in an ideal quantum gas ⋮ Double distribution function-based discrete gas kinetic scheme for viscous incompressible and compressible flows

Cites Work

• Kinetic flux-vector splitting for the Navier-Stokes equations
• Numerical Navier-Stokes solutions from gas kinetic theory
• Weighted essentially non-oscillatory schemes
• On the construction of kinetic schemes
• Anti-diffusive flux corrections for high order finite difference WENO schemes
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• A kinetic beam scheme for ideal quantum gas dynamics
• Transport Phenomena in Einstein-Bose and Fermi-Dirac Gases. I
• Kinetic Flux Vector Splitting Schemes for Ideal Quantum Gas Dynamics
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: High-order kinetic flux vector splitting schemes in general coordinates for ideal quantum gas dynamics