Efficient iterative methods applied to the solution of transonic flows (Q1913718)
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scientific article; zbMATH DE number 881861
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Efficient iterative methods applied to the solution of transonic flows |
scientific article; zbMATH DE number 881861 |
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Efficient iterative methods applied to the solution of transonic flows (English)
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2 July 1996
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We investigate the use of an inexact Newton's method to solve the potential equations in the transonic regime. As a test case, we solve the two-dimensional steady transonic small disturbance equation. We apply Newton's method using an exact analytic determination of the Jacobian with preconditioned conjugate gradient-like iterative solvers for solution of the linear systems in each Newton iteration. Two iterative solvers are tested: a block \(s\)-step version of the classical Orthomin\((k)\) algorithm called orthogonal \(s\)-step Orthomin (OSOmin), and the well-known GMRES method.
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two-dimensional steady small disturbance equation
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Orthomin\((k)\) algorithm
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Cray C-90
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parallel machine CM-5
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Newton's method
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Jacobian
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preconditioned conjugate gradient-like iterative solvers
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GMRES method
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