Entropy Splitting and Numerical Dissipation

By H. C. Yee, Marcel Vinokur, M. Djomehri. 2000

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Improved detection criteria for the multi-dimensional optimal order detection (MOOD) on unstructured meshes with very high-order polynomials (2012, background): “The isentropic vortex problem is detailed in [36] and [48], therefore we only mention the basic data for the sake of consistency.”
Assessment of high-resolution methods for numerical simulations of compressible turbulence with shock waves (2010, background): “Conservative and non-conservative skew-symmetric splitting of the gas dynamics equations [49,42] are included in the code.”
On the accuracy of high-order discretizations for underresolved turbulence simulations (2013, methodology): “There are several techniques available in literature, such as for instance spectral vanishing viscosity [38] and energy stable formulations of the equations [40].”
Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations (2014, background): “Also of interest is the use of the skew symmetric form and entropy splitting for nonlinear PDEs [39, 40, 41, 42, 43, 44]).”
On Validating an Astrophysical Simulation Code (2002, methodology): “The final test simulates the advection of an isentropic vortex in two dimensions (Shu 1998; Yee et al. 2000).”
Improving the convergence properties of the moving-mesh code AREPO (2015, methodology): “For the setup of the Yee vortex we follow Yee et al. (2000).”