Approximating viscosity solutions of the Euler system
Copyright policy )Approximating viscosity solutions of the Euler system
Applying the concept of S-convergence, based on averaging in the spirit of Strong Law of Large Numbers, the vanishing viscosity solutions of the Euler system are studied. We show how to efficiently compute a viscosity solution of the Euler system as the S-limit of numerical solutions obtained by the viscosity finite volume method. Theoretical results are illustrated by numerical simulations of the Kelvin–Helmholtz instability problem.
- Czech Academy of Sciences Czech Republic
- Johannes Gutenberg University of Mainz Germany
- Academy of Sciences Library Czech Republic
- Capital Normal University China (People's Republic of)
- Technical University of Berlin Germany
Kelvin-Helmholtz instability, barotropic Navier-Stokes system, Kolmogorov hypothesis, 76N17, 76N06, 35Q31, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, Interfacial stability and instability in hydrodynamic stability, viscosity finite volume method, oscillatory solution, isentropic Euler system, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Mathematics - Numerical Analysis, Navier-Stokes equations, vanishing viscosity limit, Existence, uniqueness, and regularity theory for incompressible viscous fluids
Kelvin-Helmholtz instability, barotropic Navier-Stokes system, Kolmogorov hypothesis, 76N17, 76N06, 35Q31, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, Interfacial stability and instability in hydrodynamic stability, viscosity finite volume method, oscillatory solution, isentropic Euler system, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Mathematics - Numerical Analysis, Navier-Stokes equations, vanishing viscosity limit, Existence, uniqueness, and regularity theory for incompressible viscous fluids
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