The characteristic finite difference fractional steps methods for compressible two-phase displacement problem |
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Authors: | Yirang Yuan |
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Institution: | (1) Institute of Mathematics, Shandong University, 250100 Jinan, China |
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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.
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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Keywords: | two-phase displacement two-dimensional compressibility fractional steps characteristic finite difference convergence numerical simulation of energy sources |
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