To read this content please select one of the options below:

A parallel high-order compressible flows solver with domain decomposition method in the generalized curvilinear coordinates system

Arthur Piquet (Complexe de Recherche Interprofessionnel en Aérothermochimie, UMR CNRS Institut National des Sciences Appliquées, INSA Rouen Normandie Saint Etienne du Rouvray, France)
Boubakr Zebiri (Complexe de Recherche Interprofessionnel en Aérothermochimie, UMR CNRS Institut National des Sciences Appliquées, INSA Rouen Normandie Saint Etienne du Rouvray, France)
Abdellah Hadjadj (Complexe de Recherche Interprofessionnel en Aérothermochimie, UMR CNRS Institut National des Sciences Appliquées, INSA Rouen Normandie Saint Etienne du Rouvray, France)
Mostafa Safdari Shadloo (Complexe de Recherche Interprofessionnel en Aérothermochimie, UMR CNRS Institut National des Sciences Appliquées, INSA Rouen Normandie Saint Etienne du Rouvray, France)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 13 June 2019

Issue publication date: 15 January 2020

262

Abstract

Purpose

This paper aims to present the development of a highly parallel finite-difference computational fluid dynamics code in generalized curvilinear coordinates system. The objectives are to handle internal and external flows in fairly complex geometries including shock waves, compressible turbulence and heat transfer.

Design/methodology/approach

The code is equipped with high-order discretization schemes to improve the computational accuracy of the solution algorithm. Besides, a new method to deal with the geometrical singularities, so-called domain decomposition method (DDM), is implemented. The DDM consists of using two different meshes communicating with each other, where the base mesh is Cartesian and the overlapped one a hollow cylinder.

Findings

The robustness of the present implemented code is appraised through several numerical test cases including a vortex advection, supersonic compressible flow over a cylinder, Poiseuille flow, turbulent channel and pipe flows. The results obtained here are in an excellent agreement when compared to the experimental data and the previous direct numerical simulation (DNS). As for the DDM strategy, it was successful as simulation time is clearly decreased and the connection between the two subdomains does not create spurious oscillations.

Originality/value

In sum, the developed solver was capable of solving, accurately and with high-precision, two- and three-dimensional compressible flows including fairly complex geometries. It is noted that the data provided by the DNS of supersonic pipe flows are not abundant in the literature and therefore will be available online for the community.

Keywords

Acknowledgements

This work was performed using HPC resources from both GENCI-[TGCC/CINES/IDRIS] (Grant 2016-[DARI t20162a7544]) and CRIANN (Centre Régional Informatique et d’Applications Numériques de Normandie), Rouen, France under the allocation 1998022.

Citation

Piquet, A., Zebiri, B., Hadjadj, A. and Safdari Shadloo, M. (2020), "A parallel high-order compressible flows solver with domain decomposition method in the generalized curvilinear coordinates system", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 1, pp. 2-38. https://doi.org/10.1108/HFF-01-2019-0048

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

Related articles