Unified Computation of Flow With Compressible and Incompressible Fluid Based on Roe’s Scheme

HUANG Dian-gui

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HUANG Dian-gui. Unified Computation of Flow With Compressible and Incompressible Fluid Based on Roe’s Scheme[J]. Applied Mathematics and Mechanics, 2006, 27(6): 669-674.

Citation:

HUANG Dian-gui. Unified Computation of Flow With Compressible and Incompressible Fluid Based on Roe’s Scheme[J]. Applied Mathematics and Mechanics, 2006, 27(6): 669-674.

Citation:

HUANG Dian-gui. Unified Computation of Flow With Compressible and Incompressible Fluid Based on Roe’s Scheme[J]. Applied Mathematics and Mechanics, 2006, 27(6): 669-674.

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Unified Computation of Flow With Compressible and Incompressible Fluid Based on Roe’s Scheme

HUANG Dian-gui

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

Received Date: 2004-08-17
Rev Recd Date: 2006-02-20
Publish Date: 2006-06-15

Abstract

Abstract

A unified numerical scheme for the solutions of the compressible and incompressible Navier-Stokes equations is investigated based on a time-derivative preconditioning algorithm.The primitive variables were pressure,velocities and temperature.The time integration scheme was used in conjunction with a finite volume discretization.The preconditioning was coupled with a high order implicit upwind scheme based on the definition of a Roe's type matrix.Computational capabilities are demonstrated through computations of high Mach number,middle Mach number,very low Mach number,and incompressible flow.It has also been demonstrated that the discontinuous surface in flow field can be captured for the implementation Roe's scheme.
- flow field,
- preconditioning,
- compressible fluid,
- incompressible fluid

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References(10)

References

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