A Numerical Method for Incompressible Viscous Flow Simulation
Abstract
We describe a numerical scheme for computing timedependent solutions of the incompressible NavierStokes equations in the primitive variable formulation. This scheme uses finite elements for the space discretization and operator splitting techniques for the time discretization. The resulting discrete equations are solved using specialized nonlinear optimization algorithms that are computationally efficient and have modest storage requirements. The basic numerical kernel is the preconditioned conjugate gradient method for symmetric, positivedefinite, sparse matrix systems, which can be efficiently implemented on the architectures of vector and parallel processing supercomputers.
 Publication:

Journal of Computational Physics
 Pub Date:
 June 1992
 DOI:
 10.1016/00219991(92)90244S
 Bibcode:
 1992JCoPh.100..384N
 Keywords:

 Computational Fluid Dynamics;
 Incompressible Flow;
 NavierStokes Equation;
 Viscous Flow;
 Nonlinear Equations;
 Parallel Processing (Computers);
 Primitive Equations;
 Vector Processing (Computers);
 Fluid Mechanics and Heat Transfer