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About this paper
Jesse CHan, Hendrik Ranocha, Raymond Park, Joshua Lampert, Eric Ching, Ayaboe Edoh
Nodal discontinuous Galerkin methods are developed for non-ideal equations of state, integrating pressure equilibrium preservation and an entropy correction approach. This framework enhances the robustness of high-order simulations, enabling stable computations for complex transcritical flows where traditional methods often fail or require highly constrained time steps.
Key insights
- A newly introduced correction-based EPEC flux and APEC flux provide greater stability for larger CFL numbers compared to a sensitive existing EPEC flux, while the latter achieves the lowest pressure equilibrium errors with sufficiently reduced time steps.
- APEC fluxes demonstrate superior robustness for highly non-ideal Peng-Robinson EOS under transcritical conditions where EPEC fluxes rapidly diverge.
- Entropy correction significantly enhances the long-time robustness of APEC DG schemes for complex transcritical flows, maintaining stability even with minimal added dissipation activated sparsely.
Summary by alphaXiv.
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