Generalized flux-vector splitting and Roe average for an equilibrium real gas

Vinokur, Marcel; Montagne, J. L.

doi:10.1016/0021-9991(90)90145-q

Cited by 85 publications

(42 citation statements)

References 8 publications

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“…Moreover, as for the gas dynamics system, the construction of a Roe matrix for MHD with a general equation of state or a multispecies model can be obtained; the ideas of Glaister [29], Liou, van Leer, and Shuen [30], Vinokur and Montagne [31], Liu and Vinokur [32], can be extended in a straightforward manner to MHD in eulerian or lagrangian coordinates [22].…”

Section: Resultsmentioning

confidence: 99%

Roe Matrices for Ideal MHD and Systematic Construction of Roe Matrices for Systems of Conservation Laws

Cargo

Gallice

1997

Journal of Computational Physics

153

116

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Section: Resultsmentioning

confidence: 99%

Roe Matrices for Ideal MHD and Systematic Construction of Roe Matrices for Systems of Conservation Laws

Cargo

Gallice

1997

Journal of Computational Physics

153

116

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“…A different approach based on finding a generalized Roe average state was taken by Grossman and Walters (1989), Glaister (1988), Liou et al (1990), Vinokur and Montagné (1990), Abgrall (1991), Toumi (1992), Cox and Cinnella (1994) and Mottura et al (1997). This average state includes the thermodynamics derivatives as additional variables and is responsible for the uniqueness of the average state.…”

Section: Introductionmentioning

confidence: 99%

A comparison of hyperbolic solvers for ideal and real gas flows

Coelho

Lage

Telles

2006

Braz. J. Chem. Eng.

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Classical and recent numerical schemes for solving hyperbolic conservation laws were analyzed for computational efficiency and application to nonideal gas flows. The Roe-Pike approximate Riemann solver with entropy correction, the Harten second-order scheme and the extension of the Roe-Pike method to secondorder by the MUSCL strategy were compared for one-dimensional flows of an ideal gas. These methods require the so-called Roe's average state, which is frequently difficult and sometimes impossible to obtain. Other methods that do not require the average state are best suited for complex equations of state. Of these, the VFRoe, AUSM+ and Hybrid Lax-Friedrich-Lax-Wendroff methods were compared for one-dimensional compressible flows of a Van der Waals gas. All methods were evaluated regarding their accuracy for given mesh sizes and their computational cost for a given solution accuracy. It was shown that, even though they require more floating points and indirect addressing operations per time step, for a given time interval for integration the second-order methods are less-time consuming than the first-order methods for a required accuracy. It was also shown that AUSM+ and VFRoe are the most accurate methods and that AUSM+ is much faster than the others, and is thus recommended for nonideal one-phase gas flows.

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“…This property was extended to general equations of state by [32], among others. Their choice for the average sound of speed is…”

Section: Choice Of the Average Sound Velocitymentioning

confidence: 91%