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| Content Provider | Springer Nature Link |
|---|---|
| Author | Yuan, Yirang |
| Copyright Year | 2002 |
| Abstract | For combinatorial system of multilayer dynamics of fluids in porous media, the second order and first order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward and two-dimensional and three-dimensional schemes are used to form a complete set. Some techniques, such as implicit-explicit difference scheme, calculus of variations, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates, are adopted. Optimal order estimates in L $^{2}$ norm are derived to determine the error in the second order approximate solution. This method has already been applied to the numerical simulation of migration-accumulation of oil resources. Keywords: combinatorial system, multilayer dynamics of fluids in porous media, two-class upwind finite difference fractional steps method, convergence, numerical simulation of energy sources. |
| Starting Page | 578 |
| Ending Page | 593 |
| Page Count | 16 |
| File Format | |
| ISSN | 10069283 |
| Journal | Science in China Series A: Mathematics |
| Volume Number | 45 |
| Issue Number | 5 |
| e-ISSN | 18622763 |
| Language | English |
| Publisher | Science in China Press |
| Publisher Date | 2002-01-01 |
| Publisher Place | Beijing |
| Access Restriction | Subscribed |
| Subject Keyword | combinatorial system multilayer dynamics of fluids in porous media twoclass upwind finite difference fractional steps method convergence numerical simulation of energy sources Applications of Mathematics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
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