Three-dimensional anisotropic pressure free boundary equilibria

Three-dimensional anisotropic pressure free boundary equilibria

a r t i c l e i n f o a b s t r a c t Free boundary three-dimensional anisotropic pressure magnetohydrodynamic equilibria with nested magnetic flux surfaces are computed through the minimisation of the plasma energy functional W = V d 3 x [B 2 /(2μ 0) + p /(Γ − 1)]. The plasma–vacuum interface is varied to guarantee the continuity of the total pressure [p ⊥ + B 2 /(2μ 0)] across it and the vacu...

Three-dimensional equilibria in DRAKONs

A General Boundary-Integral Formulation for Zoned Three-Dimensional Media

A new boundary-integral formulation is proposed to analyze the heat transfer in zoned three-dimensional geometries. The proposed formulation couples the boundary formula, the gradient of the boundary formula, and the exterior formula. An advantage of this formulation over the traditional methods is that any linear condition at the interface between subdomains may be incorporated into the formul...

Three-Dimensional Boundary-Constrained Triangulations

We discuss the problem of generating a boundary-constrained tetrahedral mesh in a convex polyhedron, where the triangular meshes on the boundary faces of the polyhedron are given. These boundary-constrained triangulations are used in our nite element tetrahedral mesh generation method (which includes a convex poly-hedron decomposition step), since a boundary face may be common to two convex pol...

Three-Dimensional Data Compression with Anisotropic Diffusion

In 2-D image compression, recent approaches based on image inpainting with edge-enhancing anisotropic diffusion (EED) rival the transform-based quasi-standards JPEG and JPEG 2000 and are even able to surpass it. In this paper, we extend successful concepts from these 2-D methods to the 3-D setting, thereby establishing the first PDE-based 3-D image compression algorithm. This codec uses a cuboi...