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- W2912353417 abstract "Nonlinear convective terms pose the most critical issues when a numerical discretization of the Navier–Stokes equations is performed, especially at high Reynolds numbers. They are indeed responsible for a nonlinear instability arising from the amplification of aliasing errors that come from the evaluation of the products of two or more variables on a finite grid. The classical remedy to this difficulty has been the construction of difference schemes able to reproduce at a discrete level some of the fundamental symmetry properties of the Navier–Stokes equations. The invariant character of quadratic quantities such as global kinetic energy in inviscid incompressible flows is a particular symmetry, whose enforcement typically guarantees a sufficient control of aliasing errors that allows the fulfillment of long-time integration. In this paper, a survey of the most successful approaches developed in this field is presented. The incompressible and compressible cases are both covered, and treated separately, and the topics of spatial and temporal energy conservation are discussed. The theory and the ideas are exposed with full details in classical simplified numerical settings, and the extensions to more complex situations are also reviewed. The effectiveness of the illustrated approaches is documented by numerical simulations of canonical flows and by industrial flow computations taken from the literature." @default.
- W2912353417 created "2019-02-21" @default.
- W2912353417 creator A5043270762 @default.
- W2912353417 creator A5062308375 @default.
- W2912353417 creator A5070943103 @default.
- W2912353417 date "2019-01-01" @default.
- W2912353417 modified "2023-09-29" @default.
- W2912353417 title "Discrete Energy-Conservation Properties in the Numerical Simulation of the Navier–Stokes Equations" @default.
- W2912353417 cites W1526768042 @default.
- W2912353417 cites W1631484266 @default.
- W2912353417 cites W1716828076 @default.
- W2912353417 cites W1966043329 @default.
- W2912353417 cites W1966158133 @default.
- W2912353417 cites W1969945255 @default.
- W2912353417 cites W1972670182 @default.
- W2912353417 cites W1976562529 @default.
- W2912353417 cites W1979712049 @default.
- W2912353417 cites W1980123729 @default.
- W2912353417 cites W1984565935 @default.
- W2912353417 cites W1985648451 @default.
- W2912353417 cites W1986367849 @default.
- W2912353417 cites W1988087261 @default.
- W2912353417 cites W1991111638 @default.
- W2912353417 cites W1992910606 @default.
- W2912353417 cites W1997633759 @default.
- W2912353417 cites W2005746318 @default.
- W2912353417 cites W2005984935 @default.
- W2912353417 cites W2006364723 @default.
- W2912353417 cites W2007077624 @default.
- W2912353417 cites W2011616343 @default.
- W2912353417 cites W2015016061 @default.
- W2912353417 cites W2015549034 @default.
- W2912353417 cites W2015904679 @default.
- W2912353417 cites W2016291110 @default.
- W2912353417 cites W2022740560 @default.
- W2912353417 cites W2023956526 @default.
- W2912353417 cites W2024406879 @default.
- W2912353417 cites W2025931426 @default.
- W2912353417 cites W2026903945 @default.
- W2912353417 cites W2028916079 @default.
- W2912353417 cites W2032990529 @default.
- W2912353417 cites W2034644845 @default.
- W2912353417 cites W2035559745 @default.
- W2912353417 cites W2036895361 @default.
- W2912353417 cites W2039297754 @default.
- W2912353417 cites W2041156309 @default.
- W2912353417 cites W2042247713 @default.
- W2912353417 cites W2042948910 @default.
- W2912353417 cites W2056191098 @default.
- W2912353417 cites W2057848798 @default.
- W2912353417 cites W2057968838 @default.
- W2912353417 cites W2060128171 @default.
- W2912353417 cites W2061048870 @default.
- W2912353417 cites W2064370164 @default.
- W2912353417 cites W2064528642 @default.
- W2912353417 cites W2065689371 @default.
- W2912353417 cites W2065978762 @default.
- W2912353417 cites W2070363665 @default.
- W2912353417 cites W2073685945 @default.
- W2912353417 cites W2074447412 @default.
- W2912353417 cites W2075093683 @default.
- W2912353417 cites W2078133941 @default.
- W2912353417 cites W2078904724 @default.
- W2912353417 cites W2080599877 @default.
- W2912353417 cites W2081728778 @default.
- W2912353417 cites W2088305381 @default.
- W2912353417 cites W2088635821 @default.
- W2912353417 cites W2089905752 @default.
- W2912353417 cites W2090606658 @default.
- W2912353417 cites W2093798770 @default.
- W2912353417 cites W2101129264 @default.
- W2912353417 cites W2103606462 @default.
- W2912353417 cites W2110187357 @default.
- W2912353417 cites W2114260566 @default.
- W2912353417 cites W2116729868 @default.
- W2912353417 cites W2120318017 @default.
- W2912353417 cites W2121417676 @default.
- W2912353417 cites W2123766729 @default.
- W2912353417 cites W2127384957 @default.
- W2912353417 cites W2127439711 @default.
- W2912353417 cites W2130339663 @default.
- W2912353417 cites W2136230696 @default.
- W2912353417 cites W2137075874 @default.
- W2912353417 cites W2139991201 @default.
- W2912353417 cites W2141853430 @default.
- W2912353417 cites W2143146578 @default.
- W2912353417 cites W2147360693 @default.
- W2912353417 cites W2155537018 @default.
- W2912353417 cites W2156669471 @default.
- W2912353417 cites W2157822890 @default.
- W2912353417 cites W2161433140 @default.
- W2912353417 cites W2165891499 @default.
- W2912353417 cites W2166276740 @default.
- W2912353417 cites W2320717124 @default.
- W2912353417 cites W2343405662 @default.
- W2912353417 cites W2404825771 @default.
- W2912353417 cites W2410416051 @default.
- W2912353417 cites W2533225209 @default.
- W2912353417 cites W2540427529 @default.
- W2912353417 cites W2565381219 @default.