Artificial compressibility, characteristics-based schemes for variable-density, incompressible, multispecies flows: Part II. Multigrid implementation and numerical tests

JOURNAL OF COMPUTATIONAL PHYSICS

卷:210

Article

Shapiro, E ; Drikakis, D

关键词: variable-density flows;    artificial compressibility;    characteristics-based schemes;    multigrid;    high-resolution schemes;    microfluidics;    mixing layer;    Euler equations;    Navier-Stokes equations;   

DOI  :  10.1016/j.jcp.2005.05.002

来源: Elsevier

【 摘 要 】

The paper presents an investigation of the accuracy and efficiency of artificial compressibility, characteristics-based (CB) schemes for variable-density incompressible flows. The CB schemes have been implemented in conjunction with a multigrid method for accelerating numerical convergence and a fourth-order, explicit Runge-Kutta method for the integration of the governing equations in time. The implementation of the CB schemes is obtained in conjunction with first-, second- and third-order interpolation formulas for calculating the variables at the cell faces of the computational volume. The accuracy and efficiency of the schemes are examined against analytical and experimental results for diffusion broadening in two- and three-dimensional microfluidic channels, a problem that has motivated the development of the present methods. Moreover, unsteady, inviscid simulations have been performed for variable-density mixing layer. The computations revealed that accuracy and efficiency depend on the CB scheme design. The best multigrid convergence rates were exhibited by the conservative CB scheme, which is obtained by the fully conservative formulation of the variable-density, incompressible equations. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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