The scheme developed is Poisson, explicit and allows scalable parallelization. It may also be applied to regularized point vortices, provided the kernel is ...

Mar 25, 2015 · Solutions to ideal fluid flow where the vorticity field is assumed as a sum of singular point vortices result in a Poisson system describing ...

We construct Poisson integration methods for these dynamics by splitting the Hamiltonian into its constituent vortex pair terms. From backward error analysis, ...

Oct 1, 2016 · We construct Poisson integration methods for these dynamics by splitting the Hamiltonian into its constituent vortex pair terms. From backward ...

We construct Poisson integration methods for these dynamics by splitting the Hamiltonian into its constituent vortex pair terms. From backward error analysis, ...

Point vortex models are frequently encountered in conceptual studies in geophysical fluid dynamics, but also in practical applications, for instance, ...

Explicit, parallel Poisson integration of point vortices on the sphere · Journal of Computational and Applied Mathematics 304: 100-119 · 2016 · Related References.

Explicit, parallel Poisson integration of point vortices on the sphere ; 作者： ; 论文关键词：Point vortex method,Numerical integration,Poisson integrator, ...

Instead of using spherical coordinates, we use cartesian coordinates in which the vector χi points from the center of the sphere to the vortex with strength Γi.

Motivated by the needs of vortex methods, we describe three different exact or approximate solutions to the Poisson equation on the surface of a sphere when ...