Truncation error analysis of the rotational form for the convective terms in the Navier-Stokes equation

DOI10.1006/jcph.1998.6050zbMath0926.76077OpenAlexW2062114310MaRDI QIDQ1268367

Kiyosi Horiuti, Takao Itami

Publication date: 18 October 1998

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.1998.6050

zbMATH Keywords

Coriolis forcedirect numerical simulationTaylor expansioneffective angular velocityfully developed turbulent channel flowlow-order finite difference method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Shear flows and turbulence (76F10) General theory of rotating fluids (76U05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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A high order finite difference solver for massively parallel simulations of stably stratified turbulent channel flows, New connections between finite element formulations of the Navier-Stokes equations, \(H(\operatorname{div})\) conforming methods for the rotation form of the incompressible fluid equations, Reduced aliasing formulations of the convective terms within the Navier-Stokes equations for a compressible fluid, Stability analysis for different formulations of the nonlinear term in \(P_N-P_{N-2}\) spectral element discretizations of the Navier-Stokes equations, On the accuracy of the rotation form in simulations of the Navier-Stokes equations, Transformation properties of dynamic subgrid-scale models in a frame of reference undergoing rotation

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