Artificial compressibility, characteristics-based schemes for variable density, incompressible, multi-species flows. Part I. Derivation of different formulations and constant density limit

JOURNAL OF COMPUTATIONAL PHYSICS

卷:210

Article

Shapiro, E ; Drikakis, D

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

DOI  :  10.1016/j.jcp.2005.05.001

来源: Elsevier

【 摘 要 】

The paper presents various formulations of characteristics-based schemes in the framework of the artificial-compressibility method for variable-density incompressible flows. In contrast to constant-density incompressible flows, where the characteristics-based variables reconstruction leads to a single formulation, in the case of variable density flows three different schemes can be obtained henceforth labeled as: transport, conservative and hybrid schemes. The conservative scheme results in pseudo-compressibility terms in the (multi-species) density reconstruction. It is shown that in the limit of constant density, the transport scheme becomes the (original) characteristics-based scheme for incompressible flows, but the conservative and hybrid schemes lead to a new characteristics-based variant for constant density flows. The characteristics-based schemes are combined with second and third-order interpolation for increasing the computational accuracy locally at the cell faces of the control volume. Numerical experiments for constant density flows reveal that all the characteristics-based schemes result in the same flow solution, but they exhibit different convergence behavior. The multigrid implementation and numerical studies for variable density flows are presented in Part 11 of this study. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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