On spectral-like resolution properties of fourth-order accurate symmetric bicompact schemes

DOI10.1134/S1064562417040081zbMath1376.65123OpenAlexW2751204969MaRDI QIDQ2411793

Michael D. Bragin, Boris V. Rogov

Publication date: 25 October 2017

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562417040081

zbMATH Keywords

numerical examplemethod of linessemidiscrete schemenonuniform meshbicompact schemequasilinear advection equation

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

Dispersive and dissipative properties of the fully discrete bicompact schemes of the fourth order of spatial approximation for hyperbolic equations ⋮ Influence of monotonization on the spectral resolution of bicompact schemes in the inviscid Taylor-Green vortex problem ⋮ О сходимости и точности метода итерируемой приближенной факторизации операторов многомерных высокоточных бикомпактных схем ⋮ On the accuracy of bicompact schemes as applied to computation of unsteady shock waves ⋮ Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves ⋮ Accuracy of bicompact schemes in the problem of Taylor-Green vortex decay ⋮ Family of central bicompact schemes with spectral resolution property for hyperbolic equations

Uses Software

• RODAS

Cites Work

• A new class of central compact schemes with spectral-like resolution. I: Linear schemes
• Monotone high-order accurate compact scheme for quasilinear hyperbolic equations
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• High-order accurate running compact scheme for multidimensional hyperbolic equations
• Monotone compact running schemes for systems of hyperbolic equations
• VERY HIGH-ORDER SPATIALLY IMPLICIT SCHEMES FOR COMPUTATIONAL ACOUSTICS ON CURVILINEAR MESHES
• Generalized Leapfrog Methods
• Wave propagation analysis of difference schemes for hyperbolic equations: A review
• Review of Computational Aeroacoustics Algorithms
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