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A Preconditioned Method for Rotating Flows at Arbitrary Mach Number.

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Bibliographic Details
Title: A Preconditioned Method for Rotating Flows at Arbitrary Mach Number.
Authors: Chunhua Sheng
Source: Modelling & Simulation in Engineering; 2011, Vol. 2011, p1-17, 17p, 1 Black and White Photograph, 4 Diagrams, 1 Chart, 13 Graphs
Subject Terms: VISCOUS flow, MACH number, AERODYNAMICS, MATRICES (Mathematics), EQUATIONS, FOURIER analysis
Abstract: An improved preconditioning is proposed for viscous flow computations in rotating and nonrotating frames at arbitrary Mach numbers. The key to the current method is the use of both free stream Mach number and rotating Mach number to construct a preconditioning matrix, which is applied to the compressible governing equations written in terms of primitive variables. A Fourier analysis is conducted that reveals the efficacy of the modified preconditioning. Numerical approximations for the convective and diffusive fluxes are detailed based on the preconditioned system of equations. A set of boundary conditions using characteristic variables are described for internal and external flow computations. Numerical validations are performed on four realistic viscous flows in both fixed and rotating frames. The results indicated that the modified preconditioning has a superior performance compared to the original method to predict flows from extremely low to supersonic Mach numbers. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
Description
Abstract:An improved preconditioning is proposed for viscous flow computations in rotating and nonrotating frames at arbitrary Mach numbers. The key to the current method is the use of both free stream Mach number and rotating Mach number to construct a preconditioning matrix, which is applied to the compressible governing equations written in terms of primitive variables. A Fourier analysis is conducted that reveals the efficacy of the modified preconditioning. Numerical approximations for the convective and diffusive fluxes are detailed based on the preconditioned system of equations. A set of boundary conditions using characteristic variables are described for internal and external flow computations. Numerical validations are performed on four realistic viscous flows in both fixed and rotating frames. The results indicated that the modified preconditioning has a superior performance compared to the original method to predict flows from extremely low to supersonic Mach numbers. [ABSTRACT FROM AUTHOR]
ISSN:16875591
DOI:10.1155/2011/537464