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High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers

Published online by Cambridge University Press:  03 June 2015

Valerio Grazioso ,
Carlo Scalo ,
Giuseppe de Felice  and
Carlo Meola
Valerio Grazioso*
Affiliation:
Department of Mechanical and Materials Engineering, Queen’s University, 130 Stuart Street, Kingston, Ontario, Canada
Carlo Scalo*
Affiliation:
Department of Mechanical and Materials Engineering, Queen’s University, 130 Stuart Street, Kingston, Ontario, Canada
Giuseppe de Felice*
Affiliation:
Dipartimento di Energetica Termofluidodinamica applicata e Condizionamenti ambientali (DETEC), Università degli Studi di Napoli ‘Federico II’, P.le Tecchio 80, 80125 Naples, Italy
Carlo Meola*
Affiliation:
Dipartimento di Energetica Termofluidodinamica applicata e Condizionamenti ambientali (DETEC), Università degli Studi di Napoli ‘Federico II’, P.le Tecchio 80, 80125 Naples, Italy
*
Corresponding author. URL: http://me.queensu.ca/people/piomelli/research/TSMLab.php Email: graziosov@me.queensu.ca
Email: cscalo.ca@gmail.com
Email: giudefel@unina.it
Email: cmeola@unina.it
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Abstract

In this work we introduce PRIN-3D (PRoto-code for Internal flows modeled by Navier-Stokes equations in 3-Dimensions), a new high level algebraic language (Matlab®) based code, by discussing some fundamental aspects regarding its basic solving kernel and by describing the design of an innovative advection scheme. The main focus was on designing a memory and computationally efficient code that, due to the typical conciseness of the Matlab coding language, could allow for fast and effective implementation of new models or algorithms. Innovative numerical methods are discussed in the paper. The pressure equation is derived with a quasi-segregation technique leading to an iterative scheme obtained within the framework of a global preconditioning procedure. Different levels of parallelization are obtainable by exploiting special pressure variable ordering patterns that lead to a block-structured Poisson-like matrix. Moreover, the new advection scheme has the potential of a controllable artificial diffusivity. Preliminary results are shown including a fully three-dimensional internal laminar flow evolving in a relatively complex geometry and a 3D methane-air flame simulated with the aid of libraries based on the Flamelet model.

Keywords

65M1078A4876M99Matlabhigh level algebraical languagessegregationpreconditioningflamelet
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 3 , June 2011 , pp. 370 - 388
Copyright
Copyright © Global-Science Press 2011

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