High-order well-balanced finite-volume schemes for hydrodynamic Equations with nonlocal free energy
| Autor: | Sergio P. Perez, Manuel J. Castro, Serafim Kalliadasis, José A. Carrillo |
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| Přispěvatelé: | Engineering & Physical Science Research Council (EPSRC) |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Class (set theory)
Interaction forces math.NA FOS: Physical sciences Numerical & Computational Mathematics 010103 numerical & computational mathematics 01 natural sciences 0102 Applied Mathematics FOS: Mathematics Mathematics - Numerical Analysis 0101 mathematics High order cs.NA Mathematics 0802 Computation Theory and Mathematics Condensed Matter::Quantum Gases Finite volume method Applied Mathematics 0103 Numerical and Computational Mathematics Mathematical analysis Fluid Dynamics (physics.flu-dyn) 65XX (Primary) 35Qxx 35Q35 35Q82 76M12 (Secondary) Physics - Fluid Dynamics Numerical Analysis (math.NA) Computational Physics (physics.comp-ph) Computational Mathematics Nonlinear system physics.flu-dyn physics.comp-ph Physics - Computational Physics Energy (signal processing) |
| Zdroj: | A858 A828 |
| Popis: | We propose high-order well-balanced finite-volume schemes for a broad class of hydrodynamic systems with attractive-repulsive interaction forces and linear and nonlinear damping. Our schemes are suitable for free energies containing convolutions of an interaction potential with the density, which are essential for applications such as the Keller--Segel model, more general Euler--Poisson systems, or dynamic-density functional theory. Our schemes are also equipped with a nonnegative-density reconstruction which allows for vacuum regions during the simulation. We provide several prototypical examples from relevant applications highlighting the benefit of our algorithms and also elucidate some of our analytical results. |
| Databáze: | OpenAIRE |
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