TY - GEN

T1 - High order combined finite-difference schemes

AU - Kovyrkina, Olyana

AU - Ostapenko, Vladimir

N1 - Publisher Copyright: © 2018 Author(s).

PY - 2018/7/10

Y1 - 2018/7/10

N2 - A method is proposed for constructing combined shock-capturing finite-difference schemes, which with high accuracy capture the shocks and simultaneously maintain an increased convergence order in all domains of smoothness of the calculated weak solutions. A concrete combined scheme is considered, in which the nonmonotonic compact third-order scheme of weak approximation is used as the basic scheme, and as the inner one is a monotone CABARET scheme of the second order of accuracy for smooth solutions. We presented the test calculations that demonstrate the advantages of the new scheme.

AB - A method is proposed for constructing combined shock-capturing finite-difference schemes, which with high accuracy capture the shocks and simultaneously maintain an increased convergence order in all domains of smoothness of the calculated weak solutions. A concrete combined scheme is considered, in which the nonmonotonic compact third-order scheme of weak approximation is used as the basic scheme, and as the inner one is a monotone CABARET scheme of the second order of accuracy for smooth solutions. We presented the test calculations that demonstrate the advantages of the new scheme.

KW - HYPERBOLIC CONSERVATION-LAWS

UR - http://www.scopus.com/inward/record.url?scp=85049977984&partnerID=8YFLogxK

U2 - 10.1063/1.5044097

DO - 10.1063/1.5044097

M3 - Conference contribution

AN - SCOPUS:85049977984

VL - 1978

T3 - AIP Conference Proceedings

BT - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

PB - American Institute of Physics Inc.

T2 - International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2017

Y2 - 25 September 2017 through 30 September 2017

ER -