Classification of difference schemes of gas dynamics by the method of differential approximation. I. One-dimensional case

DOI10.1016/0045-7930(83)90030-0zbMath0511.76064OpenAlexW2099836964MaRDI QIDQ1839138

L. A. Tusheva, N. N. Yanenko, Zinaida I. Fedotova, Yurii I. Shokin

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0045-7930(83)90030-0

zbMATH Keywords

one-dimensionalideal gasdifferential approximationacross-computations

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Finite difference methods for boundary value problems involving PDEs (65N06) Basic methods in fluid mechanics (76M99)

Related Items (7)

Several new numerical methods for compressible shear-layer simulations ⋮ High order modified differential equation of the Beam-Warming method. I. The dispersive features ⋮ Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method ⋮ Global spectral analysis: review of numerical methods ⋮ A catalogue of the extra boundary conditions for the difference schemes approximating the hyperbolic equations ⋮ High order modified differential equation of the beam-warming method. II: The dissipative features ⋮ Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case

Cites Work

• Flux-corrected transport. III: Minimal-error FCT algorithms
• Difference for the inviscid and viscous equations of a compressible gas
• Heuristic stability theory for finite-difference equations
• Third order difference methods for hyperbolic equations
• Numerical solution of quasi-conservative hyperbolic systems - the cylindrical shock problem
• Trigonometric Polynomials and Difference Methods of Maximum Accuracy
• Group classification of difference schemes for a system of one-dimensional equations of gas dynamics
• Convective Difference Schemes
• Systems of conservation laws
• Finite-Difference Methods for Nonlinear Hyperbolic Systems
• An Iterative Finite-Difference Method for Hyperbolic Systems
• Second- and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations
• A Method for the Numerical Calculation of Hydrodynamic Shocks
• Weak solutions of nonlinear hyperbolic equations and their numerical computation
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