Multi-Resolution Mesh

Lattice Boltzmann Method (LBM) uses a structured mesh for computation. The use of structured mesh reduces the time needed to setup the simulation. At the same time, a large number of grid points are needed to capture the flow characteristics accurately. To overcome this difficulty, a multi-resolution mesh with multiple levels is used, where the grid resolution changes by a factor of two at each level.

Conventional LBM implementations use simple cubic (SC) lattice, which require grid refinement near solid boundaries or in zones of flow variations. Another innovative feature of Sankhyasutra’s technology is the use of Crystallographic LBM, where body centred cubic (BCC) lattice is used instead of SC lattice. BCC lattice captures geometry better than SC lattice with a given number of lattice points improving accuracy.

Simple Cubic mesh used in Lattice Boltzmann Method
Simple Cubic (SC) Mesh
Body Centred Cubic mesh used in Entopic Lattice Boltzmann Method
Body Centred Cubic (BCC) Mesh