On \(L^2\)-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations

DOI10.1016/j.aml.2019.01.006zbMath1411.65118OpenAlexW2909856999MaRDI QIDQ1739415

Alexander Zlotnik

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.01.006

zbMATH Keywords

stability\(L^2\)-dissipativity1D gas dynamics equationsexplicit finite-difference scheme with a regularizationnon-uniform spatial mesh

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

\(L^2\)-dissipativity of the linearized explicit finite-difference scheme with a kinetic regularization for 2D and 3D gas dynamics system of equations ⋮ On \(L^2\)-dissipativity of a linearized explicit finite-difference scheme with quasi-gasdynamic regularization for the barotropic gas dynamics system of equations ⋮ Conditions for dissipativity of an explicit finite-difference scheme for a linearized multidimensional quasi-gasdynamic system of equations ⋮ Conditions for \(L^2\)-dissipativity of an explicit symmetric finite-difference scheme for linearized 2D and 3D gas dynamics equations with a regularization

Uses Software

• QHDFoam

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Handbook of numerical methods for hyperbolic problems. Basic and fundamental issues
• On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations
• On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
• A new Eulerian model for viscous and heat conducting compressible flows
• On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance
• On conservative spatial discretizations of the barotropic quasi-gasdynamic system of equations with a potential body force
• Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation
• Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation
• 10.1007/s11470-008-3008-9
• Quasi-Gas Dynamic Equations
• VERIFICATION OF AN ENTROPY DISSIPATIVE QGD-SCHEME
• Viscous Regularization of the Euler Equations and Entropy Principles