TY - GEN
T1 - Physically consistent formulations for kinetic energy preservation by quasi-skew-symmetric forms
AU - Kuya, Yuichi
AU - Kawai, Soshi
N1 - Funding Information:
This work was supported in part by MEXT as a social and scientific priority issue (Development of Innovative
Publisher Copyright:
© 2018, AIAA Aerospace Sciences Meeting. All rights reserved.
PY - 2018
Y1 - 2018
N2 - Kinetic energy preserving schemes for non-dissipative and stable flow simulations are proposed. The schemes are designed such that numerical fluxes are physically “consistent” to the analytical relation among the governing equations; especially, the kinetic energy numerical fluxes are consistent to the mass and momentum numerical fluxes. In a numerical experiment, the consistent schemes proposed show good numerical stability with preserving the kinetic energy. Enthalpy numerical fluxes are solved in the total energy equation in some existing kinetic energy preserving schemes, whereas internal energy and pressure numerical fluxes are solved instead here. Although both the existing and proposed kinetic energy preserving schemes successfully preserve the kinetic energy, some different characteristics are highlighted in the result of the density variation. More detailed analyses will be presented in the conference and a paper in preparation [1].
AB - Kinetic energy preserving schemes for non-dissipative and stable flow simulations are proposed. The schemes are designed such that numerical fluxes are physically “consistent” to the analytical relation among the governing equations; especially, the kinetic energy numerical fluxes are consistent to the mass and momentum numerical fluxes. In a numerical experiment, the consistent schemes proposed show good numerical stability with preserving the kinetic energy. Enthalpy numerical fluxes are solved in the total energy equation in some existing kinetic energy preserving schemes, whereas internal energy and pressure numerical fluxes are solved instead here. Although both the existing and proposed kinetic energy preserving schemes successfully preserve the kinetic energy, some different characteristics are highlighted in the result of the density variation. More detailed analyses will be presented in the conference and a paper in preparation [1].
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U2 - 10.2514/6.2018-1555
DO - 10.2514/6.2018-1555
M3 - Conference contribution
AN - SCOPUS:85044607853
SN - 9781624105241
T3 - AIAA Aerospace Sciences Meeting, 2018
BT - AIAA Aerospace Sciences Meeting
PB - American Institute of Aeronautics and Astronautics Inc, AIAA
T2 - AIAA Aerospace Sciences Meeting, 2018
Y2 - 8 January 2018 through 12 January 2018
ER -