Finite element methods and Navier-Stokes equations
Abstract
This book is devoted to two and three-dimensional FEM analysis of the Navier-Stokes (NS) equations describing one flow of a viscous incompressible fluid. Three different approaches to the NS equations are described: a direct method, a penalty method, and a method that constructs discrete solenoidal vector fields. Subjects of current research which are important from the industrial/technological viewpoint are considered, including capillary-free boundaries, nonisothermal flows, turbulence, and non-Newtonian fluids.
- Publication:
-
Highlights of Astronomy
- Pub Date:
- 1986
- Bibcode:
- 1986HiA.....3.....C
- Keywords:
-
- Computational Fluid Dynamics;
- Finite Element Method;
- Navier-Stokes Equation;
- Algorithms;
- Approximation;
- Capillary Flow;
- Convective Flow;
- Diffusion Theory;
- Free Boundaries;
- Galerkin Method;
- Iteration;
- Matrices (Mathematics);
- Nonlinear Equations;
- Nonnewtonian Fluids;
- Partial Differential Equations;
- Penalty Function;
- Poisson Equation;
- Turbulent Flow;
- Variational Principles;
- Fluid Mechanics and Heat Transfer