Sensitivity parameter-independent characteristic-wise well-balanced finite volume WENO scheme for the Euler equations under gravitational fields

DOI10.1007/s10915-021-01562-4zbMath1502.65089OpenAlexW3186868164MaRDI QIDQ2051050

Bao-Shan Wang, Peng Li, Wai-Sun Don

Publication date: 1 September 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01562-4

zbMATH Keywords

sensitivityfinite volumewell-balancedEulerWENOgravitational

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Meteorology and atmospheric physics (86A10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Planetary atmospheres (85A20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Euler equations (35Q31) Finite volume methods for boundary value problems involving PDEs (65N08)

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A novel and robust scale-invariant WENO scheme for hyperbolic conservation laws ⋮ High order well-balanced conservative finite difference AWENO scheme with hydrostatic reconstruction for the Euler equations under gravitational fields ⋮ High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field ⋮ Scale-invariant multi-resolution alternative WENO scheme for the Euler equations

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