An implicit factored scheme for the compressible Navier-Stokes equations. II - The numerical ODE connection
Abstract
An attempt is made to establish a connection between linear multistep methods for applications to ordinary differential equations and their extension (by approximate factorization) to alternating direction implicit methods for partial differential equations. An earlier implicit factored scheme for the compressible Navier-Stokes equations is generalized by innovations that (1) increase the class of temporal difference schemes to include all linear multistep methods, (2) optimize the class of unconditionally stable factored schemes by a new choice of unknown variable, and (3) improve the computational efficiency by the introduction of quasi-one-leg methods.
- Publication:
-
Computational Fluid Dynamics Conference
- Pub Date:
- 1979
- Bibcode:
- 1979cfd..conf....1B
- Keywords:
-
- Compressible Flow;
- Navier-Stokes Equation;
- Numerical Analysis;
- Numerical Stability;
- Algorithms;
- Alternating Direction Implicit Methods;
- Approximation;
- Linear Equations;
- Partial Differential Equations;
- Stability Tests;
- Fluid Mechanics and Heat Transfer