DOI: https://doi.org/10.26089/NumMet.v17r436

Time reversibility and stream correction in the CABARET scheme for the two-dimensional equation of convective transport

Authors

  • V.M. Goloviznin
  • D.Yu. Gorbachev
  • A.M. Kolokolnikov
  • P.A. Maiorov
  • B.A. Tlepsuk

Keywords:

CABARET scheme
shallow water equations
conservative schemes
time reversible schemes
numerical simulation

Abstract

The CABARET (Compact Accurately Boundary Adjusting-REsolution Technique) difference scheme with five different modifications of nonlinear flow correction based on the maximum principle is considered for the two-dimensional linear convection equation. The computational efficiency of these different modifications is analyzed by the results of solving the Crowley’s problem on the cone rotation around the axis not coincident with the axis of the cone using condensing orthogonal grids. A number of recommendations are formulated to improve the computational efficiency of the entire class of CABARET schemes for the hyperbolic-type conservation laws and for the processes with dominant grid transfer.

New computational technologies

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Published

2016-09-18

Issue

Vol. 17 (2016): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biographies

V.M. Goloviznin

Nuclear Safety Institute (IBRAE) of RAS
• Head of Department

D.Yu. Gorbachev

Lomonosov Moscow State University
• Student

A.M. Kolokolnikov

Lomonosov Moscow State University
• Student

P.A. Maiorov

Lomonosov Moscow State University
• Student

B.A. Tlepsuk

Lomonosov Moscow State University
• Student

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