首页|Simple and robust contact-discontinuity capturing central algorithms for high speed compressible flows

Simple and robust contact-discontinuity capturing central algorithms for high speed compressible flows

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  • NSTL
  • Elsevier
The nonlinear convection terms in the governing equations of compressible fluid flows are hyperbolic in nature and are nontrivial for modelling and numerical simulation. Many numerical methods have been developed in the last few decades for this purpose and are typically based on Riemann solvers, which are strongly dependent on the underlying eigenstructure of the governing equations. Objective of the present work is to develop simple algorithms which are not dependent on the eigen-structure and yet can tackle easily the hyperbolic parts. Central schemes with smart diffusion mechanisms are apt for this purpose. For fixing the numerical diffusion, the basic ideas of satisfying the Rankine-Hugoniot (RH) conditions along with generalized Riemann invariants are proposed. Two such interesting algorithms are presented, which capture grid-aligned steady contact discontinuities exactly and yet have sufficient numerical diffusion to avoid numerical shock instabilities. Both the algorithms presented are robust in avoiding shock instabilities, apart from being accurate in capturing contact discontinuities, do not need wave speed corrections and are independent of eigen-struture of the underlying hyperbolic parts of the systems. (C) 2021 Elsevier Inc. All rights reserved.

Compressible flow solversRankine-Hugoniot jump conditionGeneralised riemann invariantsRobust central schemesAccurate contact discontinuity capturingEigen-structure independenceNUMERICAL-SIMULATIONRIEMANN SOLVERFLUID-FLOWSCHEMESDIFFUSION

Kolluru, Ramesh、Raghavendra, N. V.、Rao, S. V. Raghurama、Sekhar, G. N.

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Indian Inst Sci

BMS Coll Engn

2022

10.1016/j.amc.2021.126660

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.414
  • 34