Investigation of Newton-Krylov algorithms for low Mach number compressible flow

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Fully coupled Newton-Krylov algorithms are used to solve steady speed compressible flow past a backward facing step flow Mach and Reynolds numbers. Various preconditioned Krylov iterative methods are used to solve the linear systems that arise on each Newton step, specifically Lanczos-based and Arnoldi-based algorithms. Several preconditioning strategies are considered to improve the performance of these iterative techniques, including incomplete lower-upper factorization with various levels of fill-in [ILU(k)] and domain based additive and multiplicative Schwarz type preconditioning both with and without overlapping domains. The ILU(K) preconditioners were generally less reliable for lower values of the flow Mach number, and exhibited ... continued below

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7 p.

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McHugh, P.R.; Knoll, D.A.; Mousseau, V.A. & Hansen, G.A. October 1, 1995.

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Fully coupled Newton-Krylov algorithms are used to solve steady speed compressible flow past a backward facing step flow Mach and Reynolds numbers. Various preconditioned Krylov iterative methods are used to solve the linear systems that arise on each Newton step, specifically Lanczos-based and Arnoldi-based algorithms. Several preconditioning strategies are considered to improve the performance of these iterative techniques, including incomplete lower-upper factorization with various levels of fill-in [ILU(k)] and domain based additive and multiplicative Schwarz type preconditioning both with and without overlapping domains. The ILU(K) preconditioners were generally less reliable for lower values of the flow Mach number, and exhibited strong sensitivity to cell ordering. In addition, the parallel nature of the domain based preconditioners is exploited on both a shared memory computer and a distributed system of workstations. Important aspects of the numerical solutions are discussed.

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7 p.

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OSTI as DE96001622

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  • ASME/JSME annual summer meeting of the Fluids Engineering conference, Hilton Head, SC (United States), 13-17 Aug 1995

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  • Other: DE96001622
  • Report No.: INEL--94/00081
  • Report No.: CONF-950853--7
  • Grant Number: AC07-94ID13223
  • DOI: 10.2172/130602 | External Link
  • Office of Scientific & Technical Information Report Number: 114646
  • Archival Resource Key: ark:/67531/metadc624122

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  • October 1, 1995

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  • June 16, 2015, 7:43 a.m.

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  • April 25, 2016, 12:30 p.m.

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McHugh, P.R.; Knoll, D.A.; Mousseau, V.A. & Hansen, G.A. Investigation of Newton-Krylov algorithms for low Mach number compressible flow, article, October 1, 1995; Idaho Falls, Idaho. (digital.library.unt.edu/ark:/67531/metadc624122/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.