Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes

Khai Ching Ng, Mohd Zamri Yusoff, Eddie Yin Kwee Ng

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique.

Original languageEnglish
Pages (from-to)389-401
Number of pages13
JournalProgress in Computational Fluid Dynamics
Volume6
Issue number7
DOIs
Publication statusPublished - 20 Dec 2006

Fingerprint

Compressible flow
Euler equations
Airfoils
mesh
Nozzles
Agglomeration
time marching
compressible flow
high resolution
airfoils
agglomeration
preserving
nozzles
high speed

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Computer Science Applications

Cite this

@article{c76ba201e32644a7a71c30c1c536c215,
title = "Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes",
abstract = "High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique.",
author = "Ng, {Khai Ching} and Yusoff, {Mohd Zamri} and Ng, {Eddie Yin Kwee}",
year = "2006",
month = "12",
day = "20",
doi = "10.1504/PCFD.2006.010964",
language = "English",
volume = "6",
pages = "389--401",
journal = "Progress in Computational Fluid Dynamics",
issn = "1468-4349",
publisher = "Inderscience Enterprises Ltd",
number = "7",

}

TY - JOUR

T1 - Multigrid solution of Euler equations using high-resolution NVD differencing scheme for unstructured meshes

AU - Ng, Khai Ching

AU - Yusoff, Mohd Zamri

AU - Ng, Eddie Yin Kwee

PY - 2006/12/20

Y1 - 2006/12/20

N2 - High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique.

AB - High-speed compressible flows in a nozzle and over an airfoil have been computed by solving the Euler equations using the GAMMA differencing scheme for spatial discretisation on unstructured grid. This high-resolution technique originally developed in a segregated algorithm has now been modified for the present coupled solver by introducing a non-linear blending factor to enhance its convergence property while preserving the Total Variation Diminishing (TVD) criterion. The efficiencies of the GAMMA scheme and its variant have been augmented with a novel agglomeration multigrid scheme to accelerate the convergence to steady state using the multi-stage Runge-Kutta time-marching technique.

UR - http://www.scopus.com/inward/record.url?scp=33845511110&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33845511110&partnerID=8YFLogxK

U2 - 10.1504/PCFD.2006.010964

DO - 10.1504/PCFD.2006.010964

M3 - Article

VL - 6

SP - 389

EP - 401

JO - Progress in Computational Fluid Dynamics

JF - Progress in Computational Fluid Dynamics

SN - 1468-4349

IS - 7

ER -