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The characteristic finite difference fractional steps methods for compressible two-phase displacement problem

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Abstract

For compressible two-phase displacement problem, a kind of characteristic finite difference fractional steps schemes is put forward and thick and thin grids are used to form a complete set. Some techniques, such as piecewise biquadratic interpolation, of calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates are adopted. Optimal order estimates inL 2 norm are derived to determine the error in the approximate solution.

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Authors and Affiliations

  1. Institute of Mathematics, Shandong University, 250100, Jinan, China

    Yirang Yuan

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  1. Yirang Yuan
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Additional information

Project supported by the National Scaling Program, the National Tackling Key Problems Program and the Doctorate Foundation of the State Education Commission of China.

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Yuan, Y. The characteristic finite difference fractional steps methods for compressible two-phase displacement problem. Sci. China Ser. A-Math. 42, 48–57 (1999). https://doi.org/10.1007/BF02872049

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  • DOI: https://doi.org/10.1007/BF02872049

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