Combined DG scheme that maintains increased accuracy in shock wave areas
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Publication:2191312
DOI10.1134/S106456241906005XzbMath1444.76085OpenAlexW3011802431MaRDI QIDQ2191312
V. F. Tishkin, O. A. Nekliudova, M. E. Ladonkina, V. V. Ostapenko
Publication date: 24 June 2020
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s106456241906005x
Shock waves and blast waves in fluid mechanics (76L05) Finite difference methods applied to problems in fluid mechanics (76M20) Basic methods in fluid mechanics (76M99)
Related Items (12)
Сравнительный анализ точности трех различных схем при сквозном расчете ударных волн ⋮ On the accuracy of shock-capturing schemes calculating gas-dynamic shock waves ⋮ Experimental convergence rate study for three shock‐capturing schemes and development of highly accurate combined schemes ⋮ Joint modeling of wave phenomena by applying the grid-characteristic method and the discontinuous Galerkin method ⋮ On the accuracy of discontinuous Galerkin method calculating gas-dynamic shock waves ⋮ On the integral convergence of numerical schemes calculating gas-dynamic shock waves ⋮ On accuracy of finite-difference schemes in calculations of centered rarefaction waves;О точности разностных схем при расчете центрированных волн разрежения ⋮ О точности схемы типа MUSCL при расчете разрывных решений ⋮ Combined monotone bicompact scheme of higher order accuracy in domains of influence of nonstationary shock waves ⋮ Combined multidimensional bicompact scheme with higher order accuracy in domains of influence of nonstationary shock waves ⋮ О повышении устойчивости комбинированной схемы разрывного метода Галеркина ⋮ Combined numerical schemes
Cites Work
- On the convergence of shock-capturing difference schemes
- Compact accurately boundary-adjusting high-resolution technique for fluid dynamics
- High resolution schemes for hyperbolic conservation laws
- 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
- Monotone finite-difference scheme preserving high accuracy in regions of shock influence
- On the accuracy of the discontinuous Galerkin method in calculation of shock waves
- Efficient implementation of weighted ENO schemes
- Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
- Third order difference methods for hyperbolic equations
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