TY - JOUR

T1 - Monotone Finite-Difference Scheme Preserving High Accuracy in Regions of Shock Influence

AU - Zyuzina, N. A.

AU - Kovyrkina, O. A.

AU - Ostapenko, V. V.

PY - 2018/9/1

Y1 - 2018/9/1

N2 - An explicit combined shock-capturing finite-difference scheme is constructed that localizes shock fronts with high accuracy and simultaneously preserves the high order of convergence in all domains where the computed weak solutions are smooth. In this scheme, Rusanov’s explicit nonmonotone scheme of the third order is used as a basis one, while the internal scheme is based on the second-order monotone CABARET. The advantages of the new scheme as compared with the WENO scheme of the fifth order in space and third order in time are demonstrated in test computations.

AB - An explicit combined shock-capturing finite-difference scheme is constructed that localizes shock fronts with high accuracy and simultaneously preserves the high order of convergence in all domains where the computed weak solutions are smooth. In this scheme, Rusanov’s explicit nonmonotone scheme of the third order is used as a basis one, while the internal scheme is based on the second-order monotone CABARET. The advantages of the new scheme as compared with the WENO scheme of the fifth order in space and third order in time are demonstrated in test computations.

UR - http://www.scopus.com/inward/record.url?scp=85056273771&partnerID=8YFLogxK

U2 - 10.1134/S1064562418060315

DO - 10.1134/S1064562418060315

M3 - Article

AN - SCOPUS:85056273771

VL - 98

SP - 506

EP - 510

JO - Doklady Mathematics

JF - Doklady Mathematics

SN - 1064-5624

IS - 2

ER -