High-Resolution Schemes for Stochastic Nonlinear Conservation Laws
| Autor: | M. M. Muttardi, D. M. El-Sakout, Nasser H. Sweilam |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Conservation law
Stochastic modelling Applied Mathematics 01 natural sciences Stability (probability) Standard deviation 010305 fluids & plasmas Computational Mathematics Nonlinear system Flow (mathematics) 0103 physical sciences Buckley–Leverett equation Applied mathematics 010303 astronomy & astrophysics Randomness Mathematics |
| Zdroj: | International Journal of Applied and Computational Mathematics. 6 |
| ISSN: | 2199-5796 2349-5103 |
| Popis: | In this paper, high-resolution methods for stochastic Buckley Leverett equation and stochastic polymer flooding system are used. The models are augmented with random initial conditions. The numerical solutions are obtained to assess the performance of the methods on the stochastic models of conservation laws for different flow situations. The mean and standard deviation of the stochastic solutions are evaluated. It is investigated that, to what extent recent, the randomness in initial data can affect and be useful in this framework. The consistency, stability and the local truncation error of the methods are proved. Numerical experiments with different scenarios simulate the saturation profile of the models and demonstrating the accuracy of the schemes. |
| Databáze: | OpenAIRE |
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