Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD

LIN Jian-guo; XIE Zhi-hua; ZHOU Jun-tao

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(7): 843-852

LIN Jian-guo, XIE Zhi-hua, ZHOU Jun-tao. Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD[J]. Applied Mathematics and Mechanics, 2007, 28(7): 843-852.

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Three-Point Explicit Compact Difference Scheme With Arbitrary Order of Accuracy and Its Applicatin in CFD

College of Environmental Science and Engineering, Dalian Maritime University, Dalian 116026, P. R. China

Received Date: 2006-05-15
Rev Recd Date: 2007-04-26
Publish Date: 2007-07-15

Abstract

Abstract

Based on the successive iterative approach in the taylor series expansion method, a threepoint explicit compact difference scheme with arbitrary order of accuracy is derived, and the numerical characteristic of the scheme was studied by the Fourier analysis. Unlike the conventional compact difference schemes which need to solve the equation to obtain the unknown derivatives in each node, the proposed scheme is explicit and can achieve arbitrary order of accuracy in space. Application examples for the convection-diffusion problem with a sharp front gradient and the typical lid-driven cavity flow were given. It is found that the proposed compact scheme is not only simple to implement and economical to use, but also effective to simulate the convection-dominated problem and obtain highorder accurate solution in coarse grid systems.
- arbitrary order of accuracy,
- compact scheme,
- three-point stencil,
- explicit,
- lid-drivencavity flow

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References(16)

References

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