TY - GEN
T1 - A comparison of higher-order shock capturing schemes within the LAVA CFD solver
AU - Brehm, Christoph
AU - Barad, Michael F.
AU - Housman, Jeffrey A.
AU - Kiris, Cetin C.
PY - 2014
Y1 - 2014
N2 - The effciency of large-eddy type simulations can be greatly increased by employing higher-order accurate numerical schemes which provide superior accuracy for a given cost. For unsteady turbulent flow simulations including shocks, contacts, and/or material discontinuities, various numerical higher-order shock capturing schemes are available in the literature. The desired numerical scheme should be free of spurious numerical oscillations across discontinuities and obtain higher-order accuracy in smooth flow regions in an effcient manner. Suffcient robustness is absolutely necessary for effectively utilizing these numerical methods in engineering and science applications. Three types of numerical higher-order schemes are dis- cussed in this paper, i.e., central finite-difference schemes with explicit artificial dissipation, a compact centered finite-difference scheme with localized artificial diffusivity and weighted essentially non-oscillatory schemes in explicit and compact finite difference forms. Variations of these numerical schemes were implemented and tested in the Launch Ascent and Vehicle Aerodynamics (LAVA) solver, using a block-structured Cartesian mesh. The current paper provides a detailed discussion and comparison of these numerical schemes. The variety of test cases ranges from 1D shock problems to homogeneous isotropic turbulence at a turbulent Mach number of 0.5 where shocklets form.
AB - The effciency of large-eddy type simulations can be greatly increased by employing higher-order accurate numerical schemes which provide superior accuracy for a given cost. For unsteady turbulent flow simulations including shocks, contacts, and/or material discontinuities, various numerical higher-order shock capturing schemes are available in the literature. The desired numerical scheme should be free of spurious numerical oscillations across discontinuities and obtain higher-order accuracy in smooth flow regions in an effcient manner. Suffcient robustness is absolutely necessary for effectively utilizing these numerical methods in engineering and science applications. Three types of numerical higher-order schemes are dis- cussed in this paper, i.e., central finite-difference schemes with explicit artificial dissipation, a compact centered finite-difference scheme with localized artificial diffusivity and weighted essentially non-oscillatory schemes in explicit and compact finite difference forms. Variations of these numerical schemes were implemented and tested in the Launch Ascent and Vehicle Aerodynamics (LAVA) solver, using a block-structured Cartesian mesh. The current paper provides a detailed discussion and comparison of these numerical schemes. The variety of test cases ranges from 1D shock problems to homogeneous isotropic turbulence at a turbulent Mach number of 0.5 where shocklets form.
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U2 - 10.2514/6.2014-1278
DO - 10.2514/6.2014-1278
M3 - Conference contribution
AN - SCOPUS:85086493104
SN - 9781624102561
T3 - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
BT - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
T2 - 52nd AIAA Aerospace Sciences Meeting - AIAA Science and Technology Forum and Exposition, SciTech 2014
Y2 - 13 January 2014 through 17 January 2014
ER -