Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
| Autor: | I. Gómez-Bueno, S. Boscarino, M.J. Castro, C. Parés, G. Russo |
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| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
Numerical Analysis
Applied Mathematics FOS: Physical sciences Numerical Analysis (math.NA) Mathematical Physics (math-ph) Systems of balance laws Computational Mathematics Systems of balance laws Well-balanced methods Finite-volume methods High-order methods Reconstruction operators Implicit methods Semi-implicit methods Shallow water equations High-order methods Implicit methods Reconstruction operators FOS: Mathematics Well-balanced methods Mathematics - Numerical Analysis Finite-volume methods Semi-implicit methods Shallow water equations Mathematical Physics |
| Popis: | The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-volume numerical methods for 1D systems of balance laws. The strategy introduced by two of the authors in a previous paper for explicit schemes based on the application of a well-balanced reconstruction operator has been applied. The well-balanced property is preserved when quadrature formulas are used to approximate the averages and the integral of the source term in the cells. Concerning the time evolution, this technique is combined with a time discretization method of type RK-IMEX or RK-implicit. The methodology will be applied to several systems of balance laws. |
| Databáze: | OpenAIRE |
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