A fourth-order symmetric WENO scheme with improved performance by new linear and nonlinear optimizations

DOI10.1007/s10915-016-0293-7zbMath1384.65055OpenAlexW2524836361MaRDI QIDQ1704772

Dong Sun, Pengxin Liu, Qilong Guo, Qin Li, Han-xin Zhang

Publication date: 13 March 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-016-0293-7

zbMATH Keywords

optimizationalgorithmstabilitynumerical examplefinite difference methodweighted essentially non-oscillatory schemeEuler/Navier-Stokes equationsflow patterns from laminar to turbulentflows from subsonic to hypersonic speedshock-reflection problemsymmetric WENO

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Finite difference methods applied to problems in fluid mechanics (76M20) General aerodynamics and subsonic flows (76G25) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Isotropic turbulence; homogeneous turbulence (76F05) Hypersonic flows (76K05)

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