The Cauchy-Lagrange method for 3D-axisymmetric wall-bounded and potentially singular incompressible Euler flows
DOI10.1016/j.jcp.2021.110758OpenAlexW3207081210MaRDI QIDQ2136445
Nicolas Besse, Tobias Hertel, Uriel Frisch
Publication date: 10 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110758
spectral accuracy3D axisymmetric incompressible Euler equations on a bounded domainCauchy-invariants equationsCauchy-Lagrange methodfinite-time singularity and blow-upsemi-Lagrangian and pseudo-spectral methods
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Incompressible inviscid fluids (76Bxx)
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Cites Work
- A constructive approach to regularity of Lagrangian trajectories for incompressible Euler flow in a bounded domain
- Adaptive multiresolution semi-Lagrangian discontinuous Galerkin methods for the Vlasov equations
- The Cauchy-Lagrangian method for numerical analysis of Euler flow
- Dynamic depletion of vortex stretching and non-blowup of the 3-D incompressible Euler equations
- Analyticity of Lagrangian trajectories for well posed inviscid incompressible fluid models
- The three-dimensional Euler equations: Where do we stand?
- 3D Euler about a 2D symmetry plane
- Remarks on the breakdown of smooth solutions for the 3-D Euler equations
- Multidimensional extension of Faa di Bruno's formula
- On the blow-up of solutions of the 3-D Euler equations in a bounded domain
- Note on global existence for axially symmetric solutions of the Euler system
- Incompressible Euler system and analytic microlocal regularity
- Holomorphic structures with weak spatial regularity in fluid mechanics
- Regularity of the geodesic flow of the incompressible Euler equations on a manifold
- Finite-time singularity formation for strong solutions to the axi-symmetric \(3D\) Euler equations
- A very smooth ride in a rough sea
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Smoothness of the motion of a rigid body immersed in an incompressible perfect fluid
- Spectral Methods
- On the Analyticity of Particle Trajectories in the Ideal Incompressible Fluid
- Lagrangian Fluid Dynamics
- Development of singular solutions to the axisymmetric Euler equations
- Evidence for a singularity of the three-dimensional, incompressible Euler equations
- Remarks on axisymmetric solutions of the incompressible euler system
- Efficient Spectral-Galerkin Methods III: Polar and Cylindrical Geometries
- Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
- Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
- Small-scale structures in Boussinesq convection
- A fluid mechanic’s analysis of the teacup singularity
- Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation
- A practical guide to splines.
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