Numerical study of MUSCL schemes for computational aeroacoustics

San Yih Lin, Yu Fene Chen, Sheng Chang Shin

Research output: Contribution to conferencePaperpeer-review

5 Citations (Scopus)


Two upwind finite-volume schemes are studied for solving the solutions of two dimensional Euler equations. They are based on the MUSCL (monotonic upstream scheme for scalar conservation law) approach with the Roe approximate Riemann solver for the numerical flux evaluation. First, dissipation and dispersion relation, and group velocity are carried out to analyze the capability of one of the proposed schemes for capturing physical waves, such as acoustic, entropy, and vorticity waves. Then two schemes are greatly enhanced through a special treatment on the numerical dissipation to effectively handle aeroacoustic computations. The numerical results indicate that the numerical dissipation treatment allows that two schemes simulate the continuous waves, such as sound and sine waves, at forth-order accuracy and captures the discontinuous waves, such a shock wave, sharply as well as most of upwind schemes do. The tested problems include one-dimensional group velocity analysis, propagation of discontinuous and sine waves, shock and sine wave interaction, and two-dimensional traveling vortex in an uniform freestream. The numerical results show that the proposed dissipation treatment can reduce dispersion and dissipation errors of two upwind schemes for simulating the aeroacoustic problems.

Original languageEnglish
Number of pages8
Publication statusPublished - 1997 Jan 1
Event35th Aerospace Sciences Meeting and Exhibit, 1997 - Reno, United States
Duration: 1997 Jan 61997 Jan 9


Other35th Aerospace Sciences Meeting and Exhibit, 1997
CountryUnited States

All Science Journal Classification (ASJC) codes

  • Space and Planetary Science
  • Aerospace Engineering

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