2006
DOI: 10.1590/s0104-66322006000300004
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A comparison of hyperbolic solvers for ideal and real gas flows

Abstract: 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.… Show more

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Cited by 8 publications
(9 citation statements)
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“…The MUSCL AUSMDV presented small oscillations only for the 10000-cell mesh. This result is particularly interesting because this behavior is different from the results for one-phase flows obtained in our previous work (Coelho et al, 2006), in which MUSCL AUSMDV was slightly better than HLFW. The MUSCL AUSM+ presented results with strong oscillatory behavior for all mesh sizes and it is not recommended.…”
Section: σ =contrasting
confidence: 93%
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“…The MUSCL AUSMDV presented small oscillations only for the 10000-cell mesh. This result is particularly interesting because this behavior is different from the results for one-phase flows obtained in our previous work (Coelho et al, 2006), in which MUSCL AUSMDV was slightly better than HLFW. The MUSCL AUSM+ presented results with strong oscillatory behavior for all mesh sizes and it is not recommended.…”
Section: σ =contrasting
confidence: 93%
“…One should bear in mind that this method has an iterative optimization of a weighting parameter, which increases accuracy but also increases the CPU time consumption. However, unlike the one-phase flow analysis, where the accuracy of the Hybrid Lax-Friedrichs-LaxWendroff method was comparable to AUSM type methods but with larger CPU time consumption (Coelho et al, 2006), this method is an alternative for Riemann solvers and AUSM type solvers with reasonable accuracy and CPU time for two-phase flows. As it does not require the jacobian matrix evaluation, it can be easily generalized for complex flow closure relations.…”
Section: Water Faucetmentioning
confidence: 99%
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“…In this study, we just consider the variation of velocity, momentum, energy, etc., caused by the inertia force, so we did not ponder the external source term of the Euler equations. For the single ideal gas state, there is no capability to analyze the supersonic fluid problems suitably [4]. Therefore, in order to establish a computing method for the supersonic fluid problem, we first set up the Euler equations model considering multiple gases [3].…”
Section: Modelingmentioning
confidence: 99%
“…The numerical flux function used in this article is the AUSMDV scheme [4,12,16,17]. The ''V'' represents the ''clearage scheme of the flux vector'' in this scheme, and the ''D'' stands for the ''clearage scheme of flux difference.''…”
Section: Numerical Flux Function: Approximate Riemann Solver Ausmdvmentioning
confidence: 99%