Research output: Contribution to journal › Conference article › peer-review
On a compact finite-difference scheme of the third order of weak approximation. / Ostapenko, V. V.; Polunina, E. I.; Khandeeva, N. A.
In: Journal of Physics: Conference Series, Vol. 1359, No. 1, 012072, 21.11.2019.Research output: Contribution to journal › Conference article › peer-review
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TY - JOUR
T1 - On a compact finite-difference scheme of the third order of weak approximation
AU - Ostapenko, V. V.
AU - Polunina, E. I.
AU - Khandeeva, N. A.
PY - 2019/11/21
Y1 - 2019/11/21
N2 - The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.
AB - The stability and accuracy of compact difference schemes with artificial viscosities of the fourth divergence order are studied. These schemes have a third order both of classical approximation on smooth solutions and weak approximation on discontinuous solutions. As a result of the stability analysis of these schemes in the linear approximation, the optimal values of their viscosity coefficients were obtained. Test calculations are presented to demonstrate the advantages of the new compact scheme compared to the TVD and WENO schemes when calculating discontinuous solutions with shock waves.
UR - http://www.scopus.com/inward/record.url?scp=85076475632&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/1359/1/012072
DO - 10.1088/1742-6596/1359/1/012072
M3 - Conference article
AN - SCOPUS:85076475632
VL - 1359
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
IS - 1
M1 - 012072
T2 - 4th All-Russian Scientific Conference Thermophysics and Physical Hydrodynamics with the School for Young Scientists, TPH 2019
Y2 - 15 September 2019 through 22 September 2019
ER -
ID: 22995313