A Class of Compact Upwind TVD Difference Schemes

TU Guo-hua; YUAN Xiang-jiang; XIA Zhi-qiang; HU Zhen

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TU Guo-hua, YUAN Xiang-jiang, XIA Zhi-qiang, HU Zhen. A Class of Compact Upwind TVD Difference Schemes[J]. Applied Mathematics and Mechanics, 2006, 27(6): 675-682.

Citation:

TU Guo-hua, YUAN Xiang-jiang, XIA Zhi-qiang, HU Zhen. A Class of Compact Upwind TVD Difference Schemes[J]. Applied Mathematics and Mechanics, 2006, 27(6): 675-682.

Citation:

TU Guo-hua, YUAN Xiang-jiang, XIA Zhi-qiang, HU Zhen. A Class of Compact Upwind TVD Difference Schemes[J]. Applied Mathematics and Mechanics, 2006, 27(6): 675-682.

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A Class of Compact Upwind TVD Difference Schemes

1.
China Aerodynamics Research and Development Center, Mianyang, Sichuan 621000, P. R. China;

Received Date: 2004-12-10
Rev Recd Date: 2006-02-25
Publish Date: 2006-06-15

Abstract

Abstract

A new method was proposed for constructing total variation diminishing(TVD)upwind schemes in conservation forms.Two limiters were used to prevent non-physical oscillations across discontinuity.Both limiters can ensure the nonlinear compact schemes TVD property.Two compact TVD(CTVD)schemes were tested,one is third-order accuracy,and the other is fifth-order.The performance of the numerical algorithms was assessed by one-dimensional complex waves and Riemann problems,as well as a two-dimensional shock-vortex interaction and a shock-boundary flow interaction.Numerical results show their high-order accuracy and high resolution,and low oscillations across discontinuities.
- high-order scheme,
- compact scheme,
- TVD scheme,
- shock-vortex,
- shock-boundary

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References(7)

References

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