Dissipation improvement of muscl scheme for computational aeroacoustics

San-Yih Lin, Sheng Chang Shih, Jen Jiun Hu

Research output: Contribution to journalArticle

Abstract

An upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.

Original languageEnglish
Pages (from-to)39-47
Number of pages9
JournalJournal of Mechanics
Volume17
Issue number1
DOIs
Publication statusPublished - 2001 Jan 1

Fingerprint

Computational Aeroacoustics
Computational aeroacoustics
computational aeroacoustics
sine waves
Dissipation
dissipation
Upwind Scheme
vorticity
propagation
Propagation
shock waves
Shock Waves
Vorticity
Acoustics
Shock waves
aeroacoustics
acoustics
Aeroacoustics
Monotone Scheme
wave interaction

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Lin, San-Yih ; Shih, Sheng Chang ; Hu, Jen Jiun. / Dissipation improvement of muscl scheme for computational aeroacoustics. In: Journal of Mechanics. 2001 ; Vol. 17, No. 1. pp. 39-47.
@article{6c5c288f03244b718e58649e22df802d,
title = "Dissipation improvement of muscl scheme for computational aeroacoustics",
abstract = "An upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.",
author = "San-Yih Lin and Shih, {Sheng Chang} and Hu, {Jen Jiun}",
year = "2001",
month = "1",
day = "1",
doi = "10.1017/S1727719100002409",
language = "English",
volume = "17",
pages = "39--47",
journal = "Journal of Mechanics",
issn = "1727-7191",
publisher = "Cambridge University Press",
number = "1",

}

Dissipation improvement of muscl scheme for computational aeroacoustics. / Lin, San-Yih; Shih, Sheng Chang; Hu, Jen Jiun.

In: Journal of Mechanics, Vol. 17, No. 1, 01.01.2001, p. 39-47.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Dissipation improvement of muscl scheme for computational aeroacoustics

AU - Lin, San-Yih

AU - Shih, Sheng Chang

AU - Hu, Jen Jiun

PY - 2001/1/1

Y1 - 2001/1/1

N2 - An upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.

AB - An upwind finite-volume scheme is studied for solving the solutions of two dimensional Euler equations. It based on the MUSCL (Monotone Upstream Scheme for Conservation Laws) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity of the scheme are derived to analyze the capability of the proposed scheme for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then the scheme is greatly enhanced through a strategy on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation strategy allows that the scheme simulates the continuous waves, such as sound and sine waves, at fourth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include linear wave convection, propagation of a sine-wave packet, propagation of discontinuous and sine waves, shock and sine wave interaction, propagation of acoustic, vorticity, and density pulses in an uniform freestream, and two-dimensional traveling vortex in a low-speed freestream.

UR - http://www.scopus.com/inward/record.url?scp=0035274335&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035274335&partnerID=8YFLogxK

U2 - 10.1017/S1727719100002409

DO - 10.1017/S1727719100002409

M3 - Article

VL - 17

SP - 39

EP - 47

JO - Journal of Mechanics

JF - Journal of Mechanics

SN - 1727-7191

IS - 1

ER -