What question did this study set out to answer?

To establish an efficient, robust thermodynamic relaxation framework that resolves computational failures in Mie–Grüneisen type equations of state under extreme flow regimes.

November 1, 2023Physics of FluidsOpen Access

Relaxation method for Mie–Grüneisen type equations of state

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Authors

LNLoann NeronSaint-Gobain (France)RSRichard SaurelSaint-Gobain (France)ACAlexandre ChiapolinoCentre National de la Recherche Scientifique

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Implication

Computational study demonstrates a relaxation method using a stiffened-gas predictor for Mie–Grüneisen equations of state, indicating improved solver efficiency and numerical robustness.

Key Points

To establish an efficient, robust thermodynamic relaxation framework that resolves computational failures in Mie–Grüneisen type equations of state under extreme flow regimes.
Formulated an extended flow model utilizing the simpler Noble–Abel-stiffened-gas equation of state as an initial predictor to close the system.
Implemented a thermodynamic relaxation step employing additional transport equations to project predictor states onto target Mie–Grüneisen equations of state.
Extended the thermodynamic validity domain beyond narrow reference curves without relying on arbitrary ad-hoc equations of state switching.
Accelerated numerical pressure relaxation solvers and substantially eliminated computational failures during extreme hydrodynamic flows.

Cite This Study

Neron et al. (2023) studied this question.

synapsesocial.com/papers/6a129ddd45487b7639a6d9e2 https://doi.org/10.1063/5.0169781

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Implication

Computational study demonstrates a relaxation method using a stiffened-gas predictor for Mie–Grüneisen equations of state, indicating improved solver efficiency and numerical robustness.

Relaxation method for Mie–Grüneisen type equations of state

Discussion

Member takes

Implication

Key Points

Cite This Study

Relaxation method for Mie–Grüneisen type equations of state

Discussion

Member takes

Implication

Key Points

Cite This Study

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