Numerical solutions for the incompressible Navier-Stokes equations in primitive variables using a non-staggered grid. II

DOI10.1016/0021-9991(87)90009-XzbMath0615.76035OpenAlexW2039511113MaRDI QIDQ1820646

Yanyan Li

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90009-x

zbMATH Keywords

Neumann boundary conditionscontinuity equationthree-dimensional flowpressure Poisson equationpressure equationnon-staggered gridprimitive variables formulationstream function-vorticity solution

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Basic methods in fluid mechanics (76M99)

Related Items (22)

On the integral constraint of the pressure Poisson equation for incompressible flows ⋮ A nonmodal approach for time-integration of a barotropic limited area model ⋮ A naturally upwinded conservative procedure for the incompressible Navier-Stokes equations on non-staggered grids ⋮ Some physical insights into a two-row finned-tube heat transfer ⋮ Essential consistency of pressure Poisson equation method and projection method on staggered grids ⋮ Coupled fully implicit solution procedure for the steady incompressible Navier-Stokes equations ⋮ Extension of an exponential discretization scheme to multidimensional convection-diffusion problems ⋮ Simulation of fluid flow in granular microstructure using a non-staggered grid scheme. ⋮ Numerical implementations for 2D lid-driven cavity flow in stream function formulation ⋮ On the relationship between the pressure and the projection function in the numerical computation of viscous incompressible flow. ⋮ Three-Dimensional Vortex Dynamics in a Shear-Driven Rectangular Cavity ⋮ Development of a continuity-preserving segregated method for incompressible Navier-Stokes equations ⋮ A primitive variable method for the solution of three-dimensional incompressible viscous flows ⋮ Effect of Reynolds number on the eddy structure in a lid-driven cavity ⋮ Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations ⋮ The discrete continuity equation in primitive variable solutions of incompressible flow ⋮ A super-compact higher order scheme for the unsteady 3D incompressible viscous flows ⋮ A comparison study on fin surfaces in finned‐tube heat exchangers ⋮ Discretized pressure Poisson algorithm for steady incompressible flow on two-dimensional triangular unstructured grids ⋮ Implicit solution of the incompressible Navier-Stokes equations on a non- staggered grid ⋮ Unnamed Item ⋮ Transition in a 2-D lid-driven cavity flow

Cites Work

• A numerical method for solving incompressible viscous flow problems
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Application of time-iterative schemes to incompressible flow
• The flow of a viscous incompressible fluid past a normal flat plate at low and intermediate Reynolds numbers: the wake

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