On strong monotonicity of two-layer in time CABARET scheme

V. V. Ostapenko<sup>ab

a</sup> Lavrentyev Institute of Hydrodynamics SD RAS
^b Novosibirsk State University

Abstract: The notion of strong monotonicity of the two-layer in time CABARET scheme is introduced. This notion assumes that the difference scheme does not increase the number of generalized local extrema in the difference solution when passing from one time layer to another. It is proposed a special modification of the two-layer in time CABARET scheme possessing the property of a strong monotonicity. Test calculations illustrating this property of the modified CABARET scheme are given.

Keywords: two-layer in time CABARET scheme, strong monotonicity of difference solution, correction of flux variables.

Received: 06.03.2017

 English version: Mathematical Models and Computer Simulations, 2019, 11:1, 1–8