A hybrid mixed finite element method for miscible displacement problem with MCC procedure
| Autor: | Yuezhi Zhang, Jiansong Zhang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Applied Mathematics Mathematical analysis 020206 networking & telecommunications 02 engineering and technology Positive-definite matrix Mixed finite element method Stability (probability) Finite element method Displacement (vector) Computational Mathematics 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Compressibility Element (category theory) Porous medium Mathematics |
| Zdroj: | Applied Mathematics and Computation. 346:143-154 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.10.045 |
| Popis: | A new combined method is developed for solving incompressible miscible displacement in porous media. In this method, a hybrid mixed element method is constructed for the pressure and velocity equation, while a mass-conservative characteristic (MCC) finite element method is presented for concentration equation. The introduction of these two numerical algorithms not only makes the coefficient matrixes symmetric positive definite, but also keeps the mass balance. The stability and consistence of this method are analyzed and the optimal error estimates in L2-norm for velocity, concentration and pressure are derived. Finally, some numerical results are presented. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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