Approximate factorization of the discrete Navier-Stokes equations in Cartesian and cylindrical coordinates

DOI10.1134/S2070048214040073zbMath1357.65199MaRDI QIDQ2961260

V. G. Priymak

Publication date: 17 February 2017

Published in: Mathematical Models and Computer Simulations (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/mm3433

zbMATH Keywords

Navier-Stokes equationsspectral methodsturbulent flow simulation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

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• An analysis of the fractional step method
• Analysis of an exact fractional step method
• A spectral numerical method for the Navier-Stokes equations with applications to Taylor-Couette flow
• Stable and accurate pressure approximation for unsteady incompressible viscous flow
• Application of a fractional-step method to incompressible Navier-Stokes equations
• Divergence-free velocity fields in nonperiodic geometries
• High-order splitting methods for the incompressible Navier-Stokes equations
• Accurate Navier-Stokes investigation of transitional and turbulent flows in a circular pipe
• Algebraic splitting for incompressible Navier-Stokes equations
• An overview of projection methods for incompressible flows
• Algebraic fractional-step schemes with spectral methods for the incompressible Navier--Stokes equations
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Additive schemes for certain operator-differential equations
• Pressure boundary condition for the time-dependent incompressible Navier–Stokes equations
• Finite-amplitude stability of axisymmetric pipe flow
• Secondary flows in a plane channel: their relationship and comparison with turbulent flows
• Transition to turbulence in plane Poiseuille and plane Couette flow
• Block factorized preconditioners for high-order accurate in time approximation of the Navier-Stokes equations
• On the error estimates for the rotational pressure-correction projection methods
• Simulation of Taylor-Couette flow. Part 1. Numerical methods and comparison with experiment
• Numerical Solution of the Navier-Stokes Equations
• Numerical Simulation of Incompressible Flows Within Simple Boundaries. I. Galerkin (Spectral) Representations
• Accurate solution of the Orr–Sommerfeld stability equation
• Accurate projection methods for the incompressible Navier-Stokes equations

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