What question did this study set out to answer?

The aim is to develop an efficient and entropy-stable discontinuous Galerkin solver for multicomponent compressible flows.

Efficient entropy-conserving/stable discontinuous Galerkin solution of the multicomponent compressible Euler equations

View Full Paper

Ask AI

Bookmark

Authors

High-order method enhances entropy stability in multicomponent flows, indicating improved computational performance.

The aim is to develop an efficient and entropy-stable discontinuous Galerkin solver for multicomponent compressible flows.
Developed a high-order discontinuous Galerkin method for the compressible Euler equations.
Implemented L2-projection from conservative to entropy variables for spatial discretization.
Utilized Direct Enforcement of Entropy Balance to ensure entropy conservation.
Compared performance with other numerical methods through one-dimensional case studies.
Assessed accuracy through interactions of shock waves with geometric inhomogeneities.
Achieved global entropy conservation at the discrete level enhancing robustness.
Showed improved computational efficiency compared to traditional methods.
Successfully eliminated unphysical entropy evolution using the DEEB correction.
Demonstrated accuracy in approximating complex two-dimensional flow phenomena.

Roig et al. (2026) studied this question.

View Full Paper

Ask AI

Bookmark