Summary
A sparse finite difference Newton method and a sparse quasi-Newton method have been applied to the Navier-Stokes solution. Much faster convergence to the steady state has been achieved compared to the conventional time marching method. For multidimensional applications, a block line Gauss-Seidel iterative method has been used for the solution of the resulting linear system. The methods have been demonstrated for hypersonic flow solution around a sharp cone using Osher’s flux difference splitting scheme for spatial discretization.
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© 1990 Springer Fachmedien Wiesbaden
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Qin, N., Richards, B.E. (1990). Sparse Quasi- Newton Method for Navier- Stokes Solution. In: Wesseling, P. (eds) Proceedings of the Eighth GAMM-Conference on Numerical Methods in Fluid Mechanics. Notes on Numerical Fluid Mechanics (NNFM), vol 29. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-13975-1_48
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DOI: https://doi.org/10.1007/978-3-663-13975-1_48
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
Print ISBN: 978-3-528-07629-0
Online ISBN: 978-3-663-13975-1
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