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

Valerio Grazioso, Carlo Scalo, Giuseppe de Felice & Carlo Meola

Adv. Appl. Math. Mech., 3 (2011), pp. 370-388.

Published online: 2011-06

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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.

  • AMS Subject Headings

65M10, 78A48, 76M99

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-370, author = {Grazioso , ValerioScalo , CarloFelice , Giuseppe de and Meola , Carlo}, title = {High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {3}, pages = {370--388}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-10s2-07}, url = {http://global-sci.org/intro/article_detail/aamm/174.html} }
TY - JOUR T1 - High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers AU - Grazioso , Valerio AU - Scalo , Carlo AU - Felice , Giuseppe de AU - Meola , Carlo JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 370 EP - 388 PY - 2011 DA - 2011/06 SN - 3 DO - http://doi.org/10.4208/aamm.10-10s2-07 UR - https://global-sci.org/intro/article_detail/aamm/174.html KW - Matlab, high level algebraical languages, segregation, preconditioning, flamelet. AB -

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.

Valerio Grazioso, Carlo Scalo, Giuseppe de Felice & Carlo Meola. (1970). High Level Languages Implementation and Analysis of 3D Navier-Stokes Solvers. Advances in Applied Mathematics and Mechanics. 3 (3). 370-388. doi:10.4208/aamm.10-10s2-07
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