Recent advances in the development of implicit schemes for the equations of fluid dynamicsInnovations and extensions of implicit schemes for equations of fluid dynamics are presented. The notation and theory for linear multistep methods are reviewed, and extensions of work by Beam and Warming (1979) include the implementation of one-leg methods, ADI methods for equations with mixed derivatives, flux vector splitting, the P-dimensional wave equation, and boundary conditions. Numerical experiments indicate that implicit treatment of the boundary conditions is necessary for unconditional stability, and the improvement and implementation of the boundary condition theory should improve the implicit algorithms for gas dynamic equations.
Document ID
19820040935
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Warming, R. F. (NASA Ames Research Center Moffett Field, CA, United States)
Beam, R. M. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 10, 2013
Publication Date
January 1, 1981
Subject Category
Fluid Mechanics And Heat Transfer
Meeting Information
Meeting: In: International Conference on Numerical Methods in Fluid Dynamics