TY - GEN

T1 - Explicit combined finite-difference scheme of high accuracy

AU - Kovyrkina, Olyana

AU - Ostapenko, Vladimir

PY - 2019/7/24

Y1 - 2019/7/24

N2 - We constructed an explicit combined finite-difference scheme, which with the high accuracy capture the shocks and simultaneously preserves an increased convergence order in all domains of smoothness of the calculated weak solutions. In this combined scheme, the nonmonotonic third-order Rusanov scheme is used as the basic scheme, and as the inner one is a mono- tone second order CABARET scheme. We presented the test calculations that demonstrate the advantages of the new scheme in comparison with the WENO-scheme of the fifth order in space and the third order in time.

AB - We constructed an explicit combined finite-difference scheme, which with the high accuracy capture the shocks and simultaneously preserves an increased convergence order in all domains of smoothness of the calculated weak solutions. In this combined scheme, the nonmonotonic third-order Rusanov scheme is used as the basic scheme, and as the inner one is a mono- tone second order CABARET scheme. We presented the test calculations that demonstrate the advantages of the new scheme in comparison with the WENO-scheme of the fifth order in space and the third order in time.

UR - http://www.scopus.com/inward/record.url?scp=85069976239&partnerID=8YFLogxK

U2 - 10.1063/1.5114483

DO - 10.1063/1.5114483

M3 - Conference contribution

AN - SCOPUS:85069976239

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018

A2 - Simos, T.E.

A2 - Tsitouras, Ch.

PB - American Institute of Physics Inc.

T2 - International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018

Y2 - 13 September 2018 through 18 September 2018

ER -