Title: Development of targeted compact nonlinear scheme with increasingly high order of accuracy

Authors: Kaveh Fardipour; Kamyar Mansour

Addresses: Department of Aerospace Engineering, Amirkabir University of Technology, 424 Hafez Ave, Tehran, Iran ' Department of Aerospace Engineering, Amirkabir University of Technology, 424 Hafez Ave, Tehran, Iran

Abstract: In this paper we present general formulation of targeted compact nonlinear scheme (TCNS) with increasing order of accuracy. This new scheme introduces the incremental-size and ENO-like stencil selection of targeted essentially non-oscillatory (TENO) scheme to weighted compact nonlinear scheme (WCNS). Other aim of the paper is construction of new global smoothness indicators (GSI) for TCNS. We used various benchmark problems of scalar hyperbolic equations and system of Euler equations for investigation of performance of TCNS and new GSIs.

Keywords: high-order numerical method; weighted compact nonlinear scheme; WCNS; targeted compact nonlinear scheme; TCNS; targeted interpolation; shock-capturing.

DOI: 10.1504/PCFD.2020.10026448

Progress in Computational Fluid Dynamics, An International Journal, 2020 Vol.20 No.1, pp.1 - 19

Received: 04 May 2018
Accepted: 17 Dec 2018

Published online: 28 Jan 2020 *

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