Spatial Twist Continuum (STC)

The automatic generation of an all hexahedral mesh is a very technically challenging problem and one that has perplexed researchers for many years until the inception and formulation of the STC by Dr Peter Murdoch in 1993. The STC describes how a 3 dimensional continua definition flows throughout a hex mesh and it dictates how one element in a mesh is connected to and influenced by another element in a distant region of the same mesh.

This is why full automation is extremely difficult, not only does the local geometric relationship of space and proportion need to be considered but the connectivity of every element in a Hex mesh is globally related to each other. Tets don't have this constraint; hence they can and are automated. In reality if they weren't no one would use them.

100% Hexahedral meshing

Every analyst from student to professional knows that a simulation using an all hexahedral mesh will run faster than a hybrid or tetrahedral mesh. The solvable physics are more extensive, the simulation more stable, and the accuracy is far superior. Where ever possible, Hex meshes are the preferred option.

However, complicated geometries, technical limitations and time constraints invariably lead to the compromised use of substandard meshes; which in turn cripples solution confidence. You simply cannot produce a quality simulation result with a low quality mesh; it's just simply illogical to even conceive of a magic algorithm within a solver that can achieve such a magnificent feat of mathematics.

The focus of Moceon with the introduction of cheetahSTC is to bring a real World all hexahedral meshing solution to everyone for all model types no matter how complicated the geometry at first might appear.