Vorticity dynamics and numerical Resolution of Navier-Stokes Equations

DOI10.1051/m2an:2001117zbMath0987.35122OpenAlexW2090552985MaRDI QIDQ2781484

Shlomo Trachtenberg, Matania Ben-Artzi, Dalia Fishelov

Publication date: 20 March 2002

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_2_313_0

zbMATH Keywords

Navier-Stokes equationsvorticity boundary conditionsincompressible viscid Newtonian fluidsvorticity projection methodvorticity streamfunction

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Viscous vortex flows (76D17) Vortex methods applied to problems in fluid mechanics (76M23)

Related Items

Complementary modes of impulse generation for flow past a three-dimensional obstacle, A compact streamfunction-velocity scheme on nonuniform grids for the 2D steady incompressible Navier-Stokes equations, A new fourth-order compact scheme for the Navier-Stokes equations in irregular domains, A high order compact scheme for the pure-streamfunction formulation of the Navier-Stokes equations, A compact scheme for the streamfunction-velocity formulation of the 2D steady incompressible Navier-Stokes equations in polar coordinaes, Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number, An efficient compact difference scheme for solving the streamfunction formulation of the incompressible Navier-Stokes equations, An upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier-Stokes equation, A Hellan--Herrmann--Johnson-like Method for the Stream Function Formulation of the Stokes Equations in Two and Three Space Dimensions, A pure-compact scheme for the streamfunction formulation of Navier-Stokes equations, Vorticity and stream function formulations for the 2D Navier-Stokes equations in a bounded domain, A New Mixed Potential Representation for Unsteady, Incompressible Flow, A less time-consuming upwind compact difference method with adjusted dissipation property for solving the unsteady incompressible Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Vorticity boundary conditions and boundary vorticity generation for two- dimensional viscous incompressible flows
• Iterative solution of the stream function-vorticity formulation of the Stokes problem, applications to the numerical simulation of incompressible viscous flow
• Vortex sheet approximation of boundary layers
• Numerical solution of the incompressible Navier-Stokes equations
• Simulation of three-dimensional turbulent flow in non-Cartesian geometry
• Finite difference methods for 3D viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids
• Global solutions of two-dimensional Navier-Stokes and Euler equations
• A second-order projection method for the incompressible Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
• Vorticity boundary condition and related isssues for finite difference schemes
• Essentially compact schemes for unsteady viscous incompressible flows
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
• Some uses of Green's theorem in solving the Navier-Stokes equations
• Solution techniques for the vorticity–streamfunction formulation of two‐dimensional unsteady incompressible flows
• Projection conditions on the vorticity in viscous incompressible flows
• Numerical prediction of vortex shedding behind a square cylinder
• Fast Numerical Solution of the Biharmonic Dirichlet Problem on Rectangles
• Numerical Solution of the Navier-Stokes Equations