Generalized conservative approximations of split convective derivative operators
By Sergio Pirozzoli. Journal of Computational Physics, 2010
334 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/8e4a33133290ebed227523e5a6ca4e716c509797
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In Applied Mathematics
- Matteo Bernardini
- Davide Modesti
- Gregor J. Gassner
- Andrew R. Winters
- David A. Kopriva
- Francesco Grasso
- Sergio Pirozzoli
- Sanjiva K. Lele
In Computational Mechanics
- Sergio Pirozzoli
- Matteo Bernardini
- Davide Modesti
- Francesco Grasso
- Andrew R. Winters
- David A. Kopriva
- Gregor J. Gassner
- Paolo Orlandi
Citations in the corpus
- Turbulence and secondary motions in square duct flow (2017, background): “Here, the convective terms in the Navier–Stokes equations are preliminarily expanded to quasi-skew-symmetric form, in such a way as to discretely preserve total kinetic energy from convection (Pirozzoli 2010).”
- Turbulence in supersonic boundary layers at moderate Reynolds number (2011, background): “As shown by Pirozzoli (2010), this arrangement leads to a locally conservative formulation, and guarantees discrete conservation of the total kinetic energy in the limit case of inviscid, incompressible flow, and also in the presence of grid stretching in the coordinate directions.”
- Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations (2016, background): “In his overview, Pirozzoli [36] re-intrepreted the work of Kennedy and Gruber and used a similar but slightly different form of the flux splitting.”
- Reynolds and Mach number effects in compressible turbulent channel flow (2016, methodology): “The nonlinear terms in the Navier-Stokes equations are discretized using central sixth-order locally conservative, energy-consistent formulas which guarantee that the total kinetic energy is discretely conserved in the limit case of inviscid incompressible flow [35].”
- Numerical Methods for High-Speed Flows (2011, background): “Pirozzoli (2010) has recently proved that this holds true for explicit central formulas of arbitrary order of accuracy, and presented computationally inexpensive numerical fluxes also for the skew-symmetric form (20).”