Three High-Order Splitting Schemes for the 3D Transport Equation

WANG Shou-dong; SHEN Yong-ming

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WANG Shou-dong, SHEN Yong-ming. Three High-Order Splitting Schemes for the 3D Transport Equation[J]. Applied Mathematics and Mechanics, 2005, 26(8): 921-928.

Citation:

WANG Shou-dong, SHEN Yong-ming. Three High-Order Splitting Schemes for the 3D Transport Equation[J]. Applied Mathematics and Mechanics, 2005, 26(8): 921-928.

Citation:

WANG Shou-dong, SHEN Yong-ming. Three High-Order Splitting Schemes for the 3D Transport Equation[J]. Applied Mathematics and Mechanics, 2005, 26(8): 921-928.

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Three High-Order Splitting Schemes for the 3D Transport Equation

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, P. R. China

Received Date: 2004-04-13
Rev Recd Date: 2005-03-29
Publish Date: 2005-08-15

Abstract

Abstract

Two high-order splitting schemes based on the idea of the operators splitting method are given. The three-dimensional advection-diffusion equation was split into several one-dimensional equations that were solved by these two schemes, only three computational grid points were needed in each direction but the accuracy reaches the spatial fourth-order. The third scheme proposed is based on the classical ADI scheme and the accuracy of the advection term of it can reach the spatial fourth-order. Finally, two typical numerical experiments show that the solutions of these three schemes compare well with that given by the analytical solution when the Peclet number is not bigger than 5.
- 3-D advection and diffusion equation,
- operator splitting method,
- high-order scheme,
- numerical modeling

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References(8)

References

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