Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations
Overview
Paper Summary
This paper extends the framework of relaxation Runge-Kutta methods to ensure conservation or dissipation of general convex quantities, such as entropy. It enforces stability through a relaxation parameter, modifying existing Runge-Kutta implementations with minimal cost and maintaining accuracy and other desirable properties.
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Possible Conflicts of Interest
None identified
Identified Limitations
Rating Explanation
This paper presents a novel and potentially valuable method for ensuring entropy stability in Runge-Kutta methods, applicable across various functionals and retaining key properties. The detailed analyses and proofs showcase a strong methodology. However, limitations in practical application and comparison with other schemes prevent a perfect score.
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