An Investigation of Different Splitting Techniques for the Isentropic Euler Equations
| Autor: | Jochen Schütz, Francesco Carlo Massa, Klaus Kaiser, Andrea Beck, Jonas Zeifang |
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| Rok vydání: | 2020 |
| Předmět: |
Work (thermodynamics)
Isentropic process Discretization IMEX splitting schemes Common framework Computer Science::Numerical Analysis Mathematics::Numerical Analysis Euler equations symbols.namesake Euler Equations Discontinuous Galerkin Settore ING-IND/06 - Fluidodinamica symbols Applied mathematics Discontinuous galerkin spectral element method Temporal discretization Mathematics |
| Zdroj: | Fluid Mechanics and Its Applications ISBN: 9783030333379 |
| DOI: | 10.1007/978-3-030-33338-6_4 |
| Popis: | For the accurate and efficient discretization of the low-Mach isentropic Euler equations, which can be used for the description of droplet dynamics, several IMEX splitting schemes have been introduced in literature. In this work, we cast multiple splittings into a common framework, which makes it possible to compare them numerically. Temporal discretization is done with IMEX Runge-Kutta methods, while for the spatial part, we rely on the discontinuous Galerkin spectral element method. It is shown that, while the influence of the splitting on accuracy is small, it has a large impact on efficiency. |
| Databáze: | OpenAIRE |
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