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In this paper we present a temperature update scheme that conserves the total energy and is valid for an arbitrary equation of state and spatial discretization. We derive the scheme for the single-phase Euler equations and present results for a shock tube spanning from super-critical to near-saturation conditions, measuring total energy imbalance and computational costs associated with thermodynamic evaluations. We also showcase non-classical results obtained with a multi-phase extension of the scheme for the full disequilibrium Baer-Nunziato equations.

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Conservative Temperature Update for the Efficient Simulation of Single and Multi-Phase Flows using the Span-Wagner Equation of State

  • 会议论文

  • 发表日期：

    2025年

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  • Giuseppe Sirianni,
  • Alberto Guardone,
  • Barbara Re,
  • Rémi Abgrall

摘要

In this paper we present a temperature update scheme that conserves the total energy and is valid for an arbitrary equation of state and spatial discretization. We derive the scheme for the single-phase Euler equations and present results for a shock tube spanning from super-critical to near-saturation conditions, measuring total energy imbalance and computational costs associated with thermodynamic evaluations. We also showcase non-classical results obtained with a multi-phase extension of the scheme for the full disequilibrium Baer-Nunziato equations.