Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

By Ulrik Skre Fjordholm, Siddhartha Mishra, Eitan Tadmor. SIAM Journal on Numerical Analysis, 2012

294 citations recorded by the source corpus.

Subfields: Atmospheric Science, Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/2c804a1fbde29bc39d3308628401fe1844523a6b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atmospheric Science

1. Mark H. Carpenter
2. Travis C. Fisher
3. Praveen Chandrashekar

In Computational Mechanics

1. Eric J. Nielsen
2. Steven H. Frankel
3. Travis C. Fisher
4. Mark H. Carpenter
5. Praveen Chandrashekar
6. Michael L. Minion
7. Serge Piperno
8. Sebastiano Boscarino

Citations in the corpus

• Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces (2014, background): “The work generalizes entropy stability results appearing in the finite-volume/finite-difference literature by several authors over the past two decades [40, 41, 30, 24, 16]; an overview of the evolutionary developments is presented elsewhere [3].”
• Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations (2012, methodology): “Matrix dissipation can be added following the ENO procedure of [4] to develop arbitrarily high order accurate entropy stable schemes for the Euler equations on structured grids.”
• High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains (2013, methodology): “[9] Herein, an alternative approach is developed based on a finitedomain entropy stability proof, which yields entropy stable methods with formal boundary closures.”