The approximation of branch solution of the NavierStokes equations
Abstract
The branch solution approximation of the NavierStokes equations is presented. Consideration is given to the bifurcation of the NavierStokes equations for steady viscous incompressible flow problems, the penalty approximation of branch solutions, and the existence and distribution of the turning point solution of stationary NavierStokes equations. It is shown that taking the property F for the NavierStokes equations and choosing the corresponding approximate mapping F(h) (using either the FEM, the FDM, or the spectral approximation method), the bifurcation phenomena of NavierStokes equations can be investigated in detail. Error estimation by the branch solution approximation is shown to agree well with the approximation by regular solutions.
 Publication:

IN: Numerical methods in laminar and turbulent flow; Proceedings of the Fourth International Conference
 Pub Date:
 1985
 Bibcode:
 1985nmlt.proc.1811L
 Keywords:

 Computational Fluid Dynamics;
 Flow Equations;
 NavierStokes Equation;
 Incompressible Flow;
 Steady Flow;
 Fluid Mechanics and Heat Transfer