An implicit factored scheme for the compressible Navier-Stokes equations. II - The numerical ODE connectionAn 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.
Document ID
19790061239
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Beam, R. M. (NASA Ames Research Center Moffett Field, CA, United States)
Warming, R. F. (NASA Ames Research Center Computational Fluid Dynamics Branch, Moffett Field, Calif., United States)