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Home > Reference > Research and information: general > Research methods: general > A Numerical Study of Eno and Tvd Schemes for Shock Capturing
A Numerical Study of Eno and Tvd Schemes for Shock Capturing

A Numerical Study of Eno and Tvd Schemes for Shock Capturing


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About the Book

The numerical performance of a second-order upwind-based total variation diminishing (TVD) scheme and that of a uniform second-order essentially non-oscillatory (ENO) scheme for shock capturing are compared. The TVD scheme used is a modified version of Liou, using the flux-difference splitting (FDS) of Roe and his superbee function as the limiter. The construction of the basic ENO scheme is based on Harten, Engquist, Osher, and Chakravarthy, and the 2-D extensions are obtained by using a Strang-type of fractional-step time-splitting method. Numerical results presented include both steady and unsteady, 1-D and 2-D calculations. All the chosen test problems have exact solutions so that numerical performance can be measured by comparing the computer results to them. For 1-D calculations, the standard shock-tube problems of Sod and Lax are chosen. A very strong shock-tube problem, with the initial density ratio of 400 to 1 and pressure ratio of 500 to 1, is also used to study the behavior of the two schemes. For 2-D calculations, the shock wave reflection problems are adopted for testing. The cases presented in this report include flows with Mach numbers of 2.9, 5.0, and 10.0. Chang, Shih-Hung and Liou, Meng-Sing Glenn Research Center RTOP 505-62-21...


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Product Details
  • ISBN-13: 9781722012878
  • Publisher: Createspace Independent Publishing Platform
  • Publisher Imprint: Createspace Independent Publishing Platform
  • Height: 279 mm
  • No of Pages: 26
  • Spine Width: 1 mm
  • Width: 216 mm
  • ISBN-10: 1722012870
  • Publisher Date: 28 Jun 2018
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 86 gr


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