Solution of the div-curl problem in generalized curvilinear coordinates

DOI10.1006/jcph.1997.5800zbMath0888.65115OpenAlexW1975964738MaRDI QIDQ1377896

F. Bertagnolio, Olivier Daube

Publication date: 17 February 1998

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

Full work available at URL: https://doi.org/10.1006/jcph.1997.5800

zbMATH Keywords

Navier-Stokes equationscurvilinear gridvelocity-vorticity formulationdiv-curl problemHelmholtz-type decomposition

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (8)

Unnamed Item ⋮ MC-Smooth: A mass-conserving, smooth vorticity–velocity formulation for multi-dimensional flows ⋮ Band Structure Calculations of Three-Dimensional Anisotropic Photonic Crystals in the Oblique Coordinate System ⋮ Conservation properties of unstructured staggered mesh schemes ⋮ Finite volume solution of the Navier-Stokes equations in velocity-vorticity formulation ⋮ A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution. ⋮ Solution of three-dimensional viscous flows using integral velocity-vorticity formulation ⋮ A compact monotonic discretization scheme for solving second-order vorticity-velocity equations

Cites Work

• Unnamed Item
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• Review of incompressible fluid flow computations using the vorticity- velocity formulation
• On the adoption of velocity variable and grid system for fluid flow computation in curvilinear coordinates
• A calculation procedure for turbulent flow in complex geometries
• Fourth-order Poisson solver for the simulation of bounded plasmas
• A numerical study of the two-dimensional Navier-Stokes equations in vorticity-velocity variables
• How to discretize the pressure gradient for curvilinear MAC grids
• Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Numerical solution of the incompressible Navier-Stokes equations
• Support-operator finite-difference algorithms for general elliptic problems
• A staggered-grid finite volume method for the vorticity-velocity equations
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Difference schemes for the Navier-Stokes equations on a net consisting of Dirichlet cells
• A multigrid method for solution of vorticity-velocity form of 3-D navier-stokes equations
• General strong conservation formulation of Navier-Stokes equations in nonorthogonal curvilinear coordinates

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