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Abstract: In this paper we investigate the application of Krylov methods to compressible flows, and the effect of implicit boundary conditions on the implicit solution of nonlinear problems. Two defect-correction procedures, namely, Approximate Factorization (AF) for structured grids, and ILU/GMRES for general grids are considered. Also, considered here, is Newton-Krylov matrix-free methods that we combine with the use of mixed discretization schemes in the implicitly defined Jacobian and its... (Update)
Context of citations to this paper: More
...is evaluated to first order. We replaced the explicit characteristic boundary conditions with fully implicit characteristic variants [10] and added the differentiable Van Albada limiter option to three existing limiters. The structure of the C H grid around our test...
.... such methods was given by Keyes in [43] A study of the performance of the preconditioned NK matrix free methods is given by Tidriri in [76] and [78] Various practical aspects of NK methods in CFD were explored in [1, 7, 37, 53, 52, 60, 64, 76] The application of domain...
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BibTeX entry: (Update)
M. D. Tidriri, Krylov methods for compressible flows, ICASE Report No. 95--48, NASA Langley Research Center, 1995. http://citeseer.ist.psu.edu/tidriri95krylov.html More
@techreport{ tidriri95krylov,
author = "M. D. Tidriri",
title = "{KRYLOV} {METHODS} {FOR} {COMPRESSIBLE} {FLOWS}",
number = "TR-95-48",
year = "1995",
url = "citeseer.ist.psu.edu/tidriri95krylov.html" }
Citations (may not include all citations):715 GMRES: A Generalized Minimal Residual Algorithm for Solving .. (context) - Saad, Schultz - 1986
650 Numerical Methods for Unconstrained Optimization and Nonline.. (context) - Dennis, Schnabel - 1983
123 Approximate Riemann Solvers (context) - Roe - 1981
102 Hybrid Krylov Methods for Nonlinear Systems of Equations (context) - Brown, Saad - 1990
22 A data parallel finite element method for computational flui.. - Johan, Hugues et al. - 1992
21 Newton-KrylovSchwarz Methods in CFD - Cai, Gropp et al. - 1994
20 Flux Vector Splitting of the Inviscid Gasdynamics Equations .. (context) - Steger, Warming - 1981
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11 Parallel implicit methods for aerodynamics - Cai, Gropp et al. - 1994
11 Convergence to Steady State Solutions of the Euler Equations.. (context) - Venkatakrishnan
10 Inexact Newton's Method Solutions to the Incompressible Navi.. (context) - McHugh, Knoll - 1993
9 Domain Decompositions for Compressible Navier-Stokes Equatio.. (context) - Tidriri - 1995
5 Air Force Armament Laboratory TR (context) - Mounts, Belk et al. - 1988
5 Very High Order Accurate TVD Schemes (context) - Osher, Chakravarthy - 1984
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2 Coupling of different models and different approximations in.. (context) - Tidriri - 1992
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