NDLI: A comparison of the CABARET and MUSCL-type schemes

Content Provider	Springer Nature Link
Author	Rodionov, A. V.
Copyright Year	2014
Abstract	The CABARET scheme is compared with some of those from the family of MUSCL-type schemes. Description and analysis of these schemes are presented as applied to the linear advection equation. For the CABARET scheme, a new formulation is proposed that can be treated as a modification of the MUSCL scheme. In MUSCL-type schemes, we consider three types of limiters, i.e., TVD, TVB, and the new Non-Oscillatory Low-Dissipative (NOLD) limiter. The schemes are tested on a set of linear problems (discontinuous and continuous profiles, uniform and nonuniform grids) and on the nonlinear blast wave problem.
Starting Page	203
Ending Page	225
Page Count	23
File Format	PDF
ISSN	20700482
Journal	Mathematical Models and Computer Simulations
Volume Number	6
Issue Number	2
e-ISSN	20700490
Language	English
Publisher	Pleiades Publishing
Publisher Date	2014-03-26
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	CABARET scheme MUSCL-type schemes TVD and TVB limiters blast wave problem Mathematical Modeling and Industrial Mathematics Simulation and Modeling
Content Type	Text
Resource Type	Article
Subject	Modeling and Simulation Computational Mathematics

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A comparison of the CABARET and MUSCL-type schemes