A unified derivation of Voronoi, power, and finite-element Lagrangian computational fluid dynamics
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Publication:2681492
DOI10.1016/j.euromechflu.2022.12.009OpenAlexW4312159266MaRDI QIDQ2681492
Publication date: 3 February 2023
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.12323
smoothed particle hydrodynamics methodDelaunay triangulationlow-temperature limitparticle finite element methodrotating Gresho vortexTaylor-Green vortex sheet
Particle methods and lattice-gas methods (76M28) Finite element methods applied to problems in fluid mechanics (76M10) Viscous vortex flows (76D17)
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- A Lagrangian scheme à la Brenier for the incompressible Euler equations
- Voronoi fluid particle model for Euler equations
- An SPH projection method
- Optimality of the Delaunay triangulation in \(\mathbb{R}^ d\)
- Partial optimal transport for a constant-volume Lagrangian mesh with free boundaries
- Incompressible smoothed particle hydrodynamics
- Power particles
- Smoothed Particle Hydrodynamics and Its Diverse Applications
- Information Theory and Statistical Mechanics
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations
- Centroidal Voronoi Tessellations: Applications and Algorithms
- An Assignment Procedure from Particles to Mesh that Preserves Field Values
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