A new approach for the analysis of Vortex Methods in two and three dimensions

DOI10.1016/S0294-1449(16)30346-8zbMath0688.76017OpenAlexW6028313MaRDI QIDQ1264057

K. Appert

Publication date: 1988

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1988__5_3_227_0

zbMATH Keywords

weak solutionerror estimatesEuler equationslinear first order hyperbolic equationsanalysis of vortex methodsconvection deformation

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items

Abstracts from the international conference on mathematical problems from the physics of fluids, Convergence of the point vortex method for 2-D vortex sheet, A particle method to solve the Navier-Stokes system, From Navier--Stokes to Stokes by means of particle methods, A new vortex scheme for viscous flows, Discrete Projections: A Step Towards Particle Methods on Bounded Domains without Remeshing, Numerical simulation of axisymmetric viscous flows by means of a particle method

Cites Work

• A vortex method for flows with slight density variations
• Nonstationary flows of viscous and ideal fluids in \(R^3\)
• Rates of Convergence for Viscous Splitting of the Navier-Stokes Equations
• A Convergent 3-D Vortex Method With Grid-Free Stretching
• Convergence of a Vortex In Cell Method for the Two-Dimensional Euler Equations
• Convergence of Vortex Methods for Euler’s Equations. II
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Vortex Methods. I: Convergence in Three Dimensions
• Convergence of the Vortex Filament Method
• Vortex Filament Method
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