Second-order accurate kinetic schemes for the ultra-relativistic Euler equations.

DOI10.1016/j.jcp.2003.07.019zbMath1117.76308OpenAlexW2082426877MaRDI QIDQ1418679

Matthias Kunik, Shamsul Qamar, Gerald Warnecke

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.07.019

zbMATH Keywords

solutions\(L^1\)-stabilityConservation lawsHyperbolic systemsPositivitySecond-order accuracyKinetic schemesDiscontinuousEntropy conditionsRelativistic Euler equations

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum hydrodynamics and relativistic hydrodynamics (76Y05)

Related Items (11)

Kinetic flux-vector splitting schemes for the hyperbolic heat conduction ⋮ Second-order accurate BGK schemes for the special relativistic hydrodynamics with the Synge equation of state ⋮ Kinetic solutions of the Boltzmann-Peierls equation and its moment systems ⋮ Existence of periodic solutions to an isothermal relativistic Euler system ⋮ A characteristics based genuinely multidimensional discrete kinetic scheme for the Euler equations ⋮ Global entropy solutions of the Cauchy problem for nonhomogeneous relativistic Euler system ⋮ Modified kinetic flux vector splitting (m-KFVS) method for compressible flows ⋮ Second-order accurate genuine BGK schemes for the ultra-relativistic flow simulations ⋮ Local smooth solutions to the 3-dimensional isentropic relativistic Euler equations ⋮ On the relativistic BGK-Boltzmann model: asymptotics and hydrodynamics ⋮ Global weak solutions to the relativistic BGK equation

Uses Software

• HLLE

Cites Work

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