Advances in upwind relaxation methodsNumerical techniques for solving the compressible Euler and Navier-Stokes equations are discussed with an emphasis on characteristic-based schemes. Two popular approaches, flux difference splitting and flux vector splitting, are described in one-dimensional Cartesian coordinates and then extended to three-dimensional generalized coordinates. A technique for increasing the spatial accuracy is presented, followed by a discussion of numerical dissipation mechanisms. An introduction to the use of implicit time integration schemes for accelerating the convergence rate to steady-state solutions including Newton's method, relaxation strategies, and approximate factorization techniques and their implementation on a vector processor concludes the chapter.
Document ID
19900060125
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Walters, R. W. (Virginia Polytechnic Institute and State University Blacksburg, United States)
Thomas, J. L. (NASA Langley Research Center Hampton, VA, United States)