Stability theory for methods to solve the NavierStokes equations, part 1
Abstract
A study of the stability of some numerical schemes approximating the linearized three dimensional NavierStokes equations is presented. A matrix is constructed which diagonalizes the linearized NavierStokes equations and the wellposedness of the corresponding Cauchy problem is proven. A formalism to derive explicit and implicit finite difference schemes as well as explicit and implicit finite volume schemes is developed. Stability assertions are given for the schemes derived by using this formalism.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 January 1989
 Bibcode:
 1989STIN...9025312W
 Keywords:

 Finite Difference Theory;
 Finite Volume Method;
 Flow Stability;
 NavierStokes Equation;
 Cauchy Problem;
 Linear Equations;
 Three Dimensional Flow;
 Fluid Mechanics and Heat Transfer