Numerical Simulation of KBKZ Integral Constitutive Equations in Hierarchical Grids

In this work, we present the implementation and verification of HiGTree-HiGFlow solver (see for numerical simulation KBKZ integral constitutive equation. The method proposed herein is a finite difference technique using tree-based grids. advantage hierarchical grids that they allow us to achieve great accuracy in local mesh refinements. A moving least squares (MLS) interpolation used adapt discretization stencil near interfaces between grid elements different sizes. momentum mass conservation equations are solved by an implicit Chorin projection decoupling velocity pressure. Finger tensor calculated deformation fields three-node quadrature formula derive expression tensor. results stress channel contraction-flow problems obtained our simulations show good agreement with experimental found literature.