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 - <p style="text-align: justify;">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.</p>