Formulation and analysis of a diffusion-velocity particle model for transport-dispersion equations

DOI10.1007/s40314-014-0200-5zbMath1368.76047OpenAlexW2041417291MaRDI QIDQ2013619

Grégory Germain, Paul Mycek, Grégory Pinon, Élie Rivoalen

Publication date: 8 August 2017

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://archimer.ifremer.fr/doc/00250/36128/34772.pdf

zbMATH Keywords

Navier-Stokes equationsFourier analysisparticle methoddiffusion velocity methodtransport-dispersion equations

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Diffusion (76R50) Particle methods and lattice-gas methods (76M28) Direct numerical and large eddy simulation of turbulence (76F65) Vortex methods applied to problems in fluid mechanics (76M23) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Cites Work

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• Modeling the flow past an oscillating airfoil by the method of viscous vortex domains
• Viscous flow simulation using the discrete vortex model - the diffusion velocity method
• A general deterministic treatment of derivatives in particle methods
• Discretization correction of general integral PSE operators for particle methods
• A velocity-diffusion method for a Lotka-Volterra system with nonlinear cross and self-diffusion
• High order accurate vortex methods with explicit velocity kernels
• Vortex methods for flow simulation
• A dynamic LES scheme for the vorticity transport equation: Formulation and a priori tests
• Numerical simulation of axisymmetric viscous flows by means of a particle method
• Large-eddy simulation of mixing layer using vortex method: Effect of subgrid-scale models on early development
• Generalized multiple scale reproducing kernel particle methods
• Numerical simulation of interfacial flows by smoothed particle hydrodynamics
• Advances in direct numerical simulations of 3D wall-bounded flows by vortex-in-cell methods.
• A particle method for the KdV equation
• Simulation of anisotropic diffusion by means of a diffusion velocity method.
• On the turbulent diffusion velocity in mixing layer simulated using the vortex method and the subgrid scale vorticity model
• Variational and momentum preservation aspects of smooth particle hydrodynamic formulations
• An improved SPH method: Towards higher-order convergence
• Diffusion velocity for a three-dimensional vorticity field
• Une méthode particulaire déterministe pour des équations diffusives non linéaires
• Numerical stability and numerical viscosity in certain meshless vortex methods as applied to the Navier-Stokes and heat equations
• Large eddy simulation(2D) using diffusion–velocity method and vortex-in-cell
• A presentation of the diffusion velocity method
• Towards lagrangian large vortex simulation
• Viscous diffusion of vorticity using the diffusion velocity concept
• A Deterministic Approximation of Diffusion Equations Using Particles
• The Weighted Particle Method for Convection-Diffusion Equations. Part 1: The Case of an Isotropic Viscosity
• Simulation of heat-vortex interaction by the diffusion velocity method
• Presentation and analysis of a diffusion-velocity method
• Simulation numérique des équations de Navier-Stokes 3D par une méthode particulaire
• Convergence of high-order deterministic particle methods for the convection-diffusion equation
• Analyse d’une équation de vitesse de diffusion
• Reproducing kernel particle methods
• Large Eddy Simulation for Incompressible Flows
• Numerical simulation of hydrodynamics by the method of point vortices
• Particle methods for dispersive equations