Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves

DOI10.1134/S1064562420050282zbMath1481.76151OpenAlexW3119445382MaRDI QIDQ2243787

Michael D. Bragin, Boris V. Rogov

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562420050282

zbMATH Keywords

monotonic solutioncombined bicompact schemelocal fourth-order space accuracyshock wave localization

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15)

Related Items (1)

Combined numerical schemes

Cites Work

• Convergence of finite-difference schemes behind a shock front.
• Construction of high-order accurate shock-capturing finite difference schemes for unsteady shock waves
• On the construction of combined finite-difference schemes of high accuracy
• On the accuracy of the discontinuous Galerkin method in calculation of shock waves
• High-order accurate running compact scheme for multidimensional hyperbolic equations
• Combined DG scheme that maintains increased accuracy in shock wave areas
• Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves
• Family of central bicompact schemes with spectral resolution property for hyperbolic equations
• Monotone compact running schemes for systems of hyperbolic equations
• High-order accurate monotone compact running scheme for multidimensional hyperbolic equations

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